JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2

Jharkhand Board JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 Textbook Exercise Questions and Answers.

JAC Board Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Exercise 6.2

प्रश्न 1.
आकृति में x और के मान ज्ञात कीजिए और फिर दर्शाइए कि AB || CD है।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 1
हल:
माना तिर्यक रेखा PQ, AB और CD को क्रमशः
R और S पर काटती है।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 2
∴ ∠x + 50° = 180° [रैखिक कोण युग्म]
∠x = 180° – 50° = 130°
चित्र से, ∠y = 130° [शीर्षाभिमुख कोण]
∠x = ∠y = 130°
एकान्तर कोण समान हैं।
अतः AB || CB

JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2

प्रश्न 2.
आकृति में, यदि AB || CD, CD || EF और y : z = 3 : 7 है, तो x का मान ज्ञात कीजिए।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 3
हल:
चूँकि CD || EF तथा तिर्यक् रेखा PQ उनको क्रमश: S तथा T पर काटती है।
∴ ∠CST = ∠STF, [एकान्तर कोण]
⇒ 180° – y = z,
[∵ ∠y + ∠CST = 180° रैखिक युग्म]
⇒ y + z = 180°
दिया है, y : z = 3 : 7.
अतः अनुपातों का योग = 3 + 7 = 10
∴ y = \(\frac{3}{10}\) × 180°
= 3 × 18° = 54°
तथा z = \(\frac{7}{10}\) × 180°
= 7 × 18° = 126°
∵ AB || CD तथा तिर्यक् रेखा PQ, AB व CD को क्रमश: R तथा S पर काटती है।
∴ ∠ARS + ∠RSC = 180°,
[लगातार अभ्यंतर कोण सम्पूरक होते हैं]
⇒ x + y = 180°
x = 180° – y
180° – 54° = 126°, [∵ y = 54°]
अतः x = 126°.

प्रश्न 3.
आकृति में, यदि AB || CD, EF ⊥ CD और ∠GED = 126° है, तो ∠AGE, ∠GEF और ∠FGE ज्ञात कीजिए।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 4
हल:
चूँकि AB || CD तथा तिर्यक रेखा GE उनको क्रमश: G तथा E पर काटती है।
∴ ∠AGE = ∠GED [एकान्तर कोण]
⇒ ∠AGE = 126° [∵ ∠GED = 126° (दिया है)]
∠GEF = ∠GED – ∠FED
= 126° – 90° = 36°
तथा ∠FGE = ∠GEC [एकान्तर कोण]
⇒ ∠FGE = 90° – ∠GEF
= 90° – 36° = 54°
अत:, ∠AGE = 126°, ∠GEF = 36° और ∠FGE = 54°.

JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2

प्रश्न 4.
आकृति में, यदि PQ || ST, ∠PQR = 110° और ∠RST = 130° है, तो ∠QRS ज्ञात कीजिए।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 5
हल:
PQ को M बिन्दु पर काटने के लिए SR तक बढ़ाया।
अब PM || ST तथा तिर्वक रेखा SM क्रमश: उनको M तथा R पर काटती है।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 6
∴ ∠SMQ = ∠TSM, [एकान्तर कोण]
⇒ ∠SMQ = 130°
⇒ ∠QMR = 180° – 130° = 50°
[∵ ∠SMQ + ∠QMR = 180° एकान्तर युग्म]
चूँकि किरण RQ, PM को Q पर काटती है।
∴ ∠PQR+ ∠RQM = 180°
⇒ 110°+∠RQM = 180°°
⇒ ∠RQM = 180° – 110° = 70°
∴ ∠QRS = 180° – (70° + 50°) = 60°.
[∵ एक त्रिभुज के तीनों कोणों का योग 180° होता है]

प्रश्न 5.
आकृति में, यदि AB || CD ∠APQ = 50° और ∠PRD = 127° है, तो x और ज्ञात कीजिए।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 7
हल:
AB || CD जिन्हें तिर्यक रेखा PQ क्रमश: P तथा Q पर काटती है।
∴ ∠PQR = ∠APQ, [एकान्तर कोण]
⇒ x = 50° (दिया है)
∠x + ∠y = ∠PRD [बहिष्कोण]
⇒ 50° + y = 127°
⇒ y = 127° – 50° = 77°
∴ x = 50° तथा y = 77°.

JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2

प्रश्न 6.
दी गई आकृति में PQ और RS दो दर्पण हैं जो एक-दूसरे के समान्तर रखे गए हैं। एक आपतन किरण (Incident Ray) AB, दर्पण PQ से B पर टकराती है और परावर्तित किरण (Reflected Ray) पक्ष BC पर चलकर दर्पण RS से C पर टकराती है तथा पुनः CD के अनुदिश परावर्तित हो जाती है। सिद्ध कीजिए कि AB || CD है।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 8
हल:
दिया है दर्पण PQ || दर्पण RS
दर्पण PO पर आपतित किरण AB तथा परावर्तित किरण BC एवं दर्पण RS आपतित किरण BC और परावर्तित किरण CD.
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.2 9
रचना: बिन्दु B पर BP’ तथा बिन्दु C पर CQ’ लम्ब डाले।
सिद्ध करना है: AB || CD
उपपत्ति: BP, बिन्दु B पर अभिलम्ब है; और CQ, बिन्दु C पर अभिलम्ब है;
∵ PQ || RS
∴ उक्त तीनों तथ्यों से BP’ || CQ और BC तिर्यक रेखा है। इति सिद्धम् ।
∴ ∠P’BC = ∠Q’CB एकान्तर कोण
∴ ∠r1 = ∠i2 …(1)
परावर्तन के नियमों से,
∠i1 = ∠r1 …..(2)
तथा ∠i2 = ∠r2 …..(3)
समीकरण (1), (2) व (3) से, ∠i1 = ∠r2 ……(4)
समीकरण (1) व समीकरण (4) को जोड़ने पर,
∠(i1 + r1) = ∠(i2 + r2)
∴ ∠ABC = ∠BCD
परन्तु ये AB तथा CD को BC द्वारा प्रतिच्छेद करने से निर्मित समान एकान्तर कोण हैं।
अतः AB || CD. इति सिद्धम्

JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4

Jharkhand Board JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4 Textbook Exercise Questions and Answers.

JAC Board Class 9 Maths Solutions Chapter 14 सांख्यिकी Exercise 14.4

प्रश्न 1.
एक टीम ने फुटबाल के 10 मैचों में निम्नलिखित गोल किए 2, 3, 4, 5, 0, 1, 3, 3, 4, 3
इन गोलों के माध्य, माध्यक और बहुलक ज्ञात कीजिए।
हल:
JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4 1
पुनः 3 का आँकड़ा सबसे अधिक अर्थात् 4 बार आया है। अतः बहुलक = 3.

JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4

प्रश्न 2.
गणित की परीक्षा में 15 विद्यार्थियों ने (100 में से) निम्नलिखित अंक प्राप्त किए:
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
इन आँकड़ों के माध्य, माध्यक और बहुलक ज्ञात कीजिए।
हल:
JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4 2
दिये गए आँकड़ों को आरोही क्रम में लिखने पर
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98.
यहाँ N = 15 पद है, जो कि विषम है।
∴ माध्यिका = \(\frac{N+1}{2}\) वाँ पद = \(\frac{15+1}{2}\) वाँ पद = 8वाँ पद
अतः प्राप्तांकों का माध्यक = 8वें पद का मान = 52
प्राप्त आँकड़ों से स्पष्ट है कि सबसे प्राप्तांक 52, 3 छात्रों के हैं जो सर्वाधिक हैं।
∴ दिये गये आँकड़ों का बहुलक = 52.

प्रश्न 3.
निम्नलिखित प्रेक्षणों को आरोही क्रम में व्यवस्थित किया गया है। यदि आँकड़ों का माध्यक 63 हो, तो x का मान ज्ञात कीजिए:
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
हल:
पदों की संख्या (N) = 10, सम संख्या हैं।
JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4 3
JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4 4
अत: x का मान 62 है।

JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4

प्रश्न 4.
आँकड़ों 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18 का बहुलक ज्ञात कीजिए।
हल:
JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4 5
सबसे अधिक बारम्बारता 4 है। इसके संगत चर का मान 14 है।
अत: बहुलक = 14.

प्रश्न 5.
निम्नलिखित सारणी से एक फैक्ट्री में काम कर रहे 60 कर्मचारियों का माध्य वेतन ज्ञात कीजिए :

वेतन (रुपयों मे) कर्मचारियों की संख्या
3000 16
4000 12
5000 10
6000 8
7000 6
8000 4
9000 3
10000 1
कुल योग 60

हल:
माध्य वेतन की आगणन तालिका

वेतन रुपये में (x) कर्मचारियों की संख्य (f) (f × x)
3000 16 48000
4000 12 48000
5000 10 50000
6000 8 48000
7000 6 42000
8000 4 32000
9000 3 27000
10000 1 10000
येग Σ f = 60 Σ fx = 305000

माध्य = \(\frac{\sum f x}{\sum f}\) = \(\frac{305000}{60}=\frac{15250}{3}\) = 5083.33
अतः फैक्ट्री के 60 कर्मचारियों का माध्य वेतन = ₹ 5083.33 रु.।

JAC Class 9 Maths Solutions Chapter 14 सांख्यिकी Ex 14.4

प्रश्न 6.
निम्न स्थिति पर आधारित एक उदाहरण दीजिए:
(i) माध्य ही केन्द्रीय प्रवृत्ति की उपयुक्त माप है।
(ii) माध्य केन्द्रीय प्रवृत्ति की उपयुक्त माप नहीं है, जबकि माध्यक एक उपयुक्त माप है।
हल:
(i) माध्य सम्बन्धित आँकड़ों का औसत (Average) होता है। अतः यह केन्द्रीय प्रवृत्ति की उपयुक्त माप है;
जैसे : चार विद्यार्थियों के अंग्रेजी के टेस्ट में प्राप्तांक क्रमश: 6, 5, 4 और 9 है इनका माध्य = \(\frac{6+4+5+9}{4}=\frac{24}{4}\) = 6
जो कि यह प्रमाणित करता है कि यह सभी प्राप्तांकों के निकट है और उनका प्रतिनिधित्व करने में सक्षम है।
(ii) मान लिया किसी मिनी बस में किन्हीं 5 दिनों में क्रमश: 10, 16, 24, 20 और 13 यात्री यात्रा करते हैं, तब इसमें प्रतिदिन यात्रा करने वाले यात्रियों का माध्य = \(\frac{10+16+24+20+13}{5}=\frac{83}{5}\) = 16.6.
परन्तु 16.6 वास्तविक यात्रियों के किसी भी प्रेक्षण का प्रतिनिधित्व नहीं करता क्योंकि अपूर्ण यात्रियों की सम्भाव्यता ही परिकल्पना से परे है। इस प्रकार माध्य केन्द्रीय प्रवृत्ति की वास्तविक एवं उपयुक्त माप नहीं है।
अब यदि हम इनके माध्यक पर विचार करें, तो
आरोही क्रम में आँकड़ों को व्यवस्थित करने पर 10, 13, 16, 20, 24
n = 5, माध्यक पद = \(\frac{N+1}{2}=\frac{5+1}{2}\) = 3वाँ पद पद
∴ माध्यक = 3वें पद का मान = 16 यात्री
अतः माध्यक केन्द्रीय प्रवृत्ति की उपयुक्त माप है।

JAC Class 9 English Dialogue Writing

Jharkhand Board JAC Class 9 English Solutions Dialogue Writing Questions and Answers.

JAC Board Class 9 English Dialogue Writing

आपकी परीक्षा में dialogue या कहानी लेखन से संबंधित एक प्रश्न आयेगा। आपको इन दोनों में से किसी एक को ही करना होगा।
एक अच्छे dialogue को लिखते समय निम्नलिखित बातों का ध्याम रखना चाहिये-

  • एक dialogue को स्वाभाविक दिखते हुए होना चाहिये। इसके अंदर लिखी गई बातें उसी प्रकार से होनी चाहिये जैसी कि हम अपने दैनिक जीवन में सामान्य तौर पर प्रयोग करते हैं।
  • Dialogue में शब्दों के संक्षिप्त रूप का प्रयोग यथासम्भव किया ही जाना चाहिये।

जैसे-It is = It’s, cannot = can’t, did not = didn’t, do not = don’t; does not = doesn’t, shall not =shan’t, will not = won’t, could not = could’t

  • यह भी हो सकता है कि कई बार केवल Phrases के प्रयोग से ही काम चल जाता है इसलिए बातचीत को वास्तविक बनाये रखने के लिए पूरे वाक्य लिखने की बजाय phrases का प्रयोग करना ज्यादा वास्तविक प्रतीत होता है।
  • भाषा सरल होनी चाहिए।
  • यह भी याद रखें कि शिष्टाचारपूर्ण शब्दों का प्रयोग English में हिन्दी से कहीं ज्यादा ही होता है, इसलिए एक dialogue में शिष्ट शब्दावली का पूर्ण ध्यान रखें।

JAC Class 9 English Dialogue Writing

Some Examples of Dialogues

Dialogue 1.

An elderly man talks to a student. He asks him about his family and his studies. Write a dialogue between them. You may take help from the following hints :

एक वृद्ध व्यक्ति एक विद्यार्थी से बातचीत करता है। वह उससे उसके परिकार व उसके अध्ययन के बारे में पूछता है। उनके बीच में एक dialogue लिखिए। आप निम्नलिखित संकेतों का सहारा ले सकते हैंfather, his health, mother, brother, sister, age, class etc.

Gopal : Hello ! How is your father ? (नमस्कार! तुम्हारे पिताजी कैसे हैं ?)
Kanu : He is in good health, thanks. (वह स्वस्थ हैं, धन्यवाद।)
Gopal : Is your mother here ? (क्या तुम्हारी माताजी यहीं हैं ?)
Kanu : Yes, she is here. (हाँ, वह यहीं हैं।)
Gopal : How many brothers and sisters have you ? (आपके कितने भाई-बहिन हैं ?)
Kanu : I have only one sister. (मेरी केवल एक बहिन है।)
Gopal : How old is she ? (उसकी उम्र कितनी है ?)
Kanu : She is ten years old. (वह दंस वर्ष की है।)
Gopal : In which class do you read ? (आप कौन-सी कक्षा में पढ़ते हैं ?)
Kanu : I read in class IX (मैं कक्षा IX में पढ़ता हूँ।)

Dialogue 2.

A student comes to school with his incomplete homework. The boy’s mother was ill. His teacher talks to him about it. Write a dialogue between them. You may take help from the following hints :

एक विद्यार्थी अपने अपूर्ण गृहकार्य के साथ विद्यालय आता है। लड़के की मौँ बीमार थी। उसके अध्यापक जी इस सम्बन्ध में उससे वार्तालाप करते हैं। उनके बीच में एक dialogue लिखिए। आप निम्नलिखित संकेतों का सहारा ले सकते हैं-
homework incomplete, mother ill serious, have to attend, name of the doctor etc.
Teacher : Why haven’t you done your homework ? (तुमने अपना गृह-कार्य क्यों नहीं किया है ?)
Student : My mother was seriously ill. (मेरी माँ गम्भीर रूप से बीमार थीं।)
Teacher. : How is she now ? (वह अब कैसी हैं ?)
Student : She is better now. (वह अब पहले से बेहतर हैं।)
Teacher : I wish her speedy recovery. (मैं उनके शीघ्र स्वास्थ्य-लाभ की कामना करता हूँ।)
Student : Thank you, sir. (धन्यवाद, श्रीमान्।)
Teacher : Who is giving her treatment ? (उनका इलाज कौन कर रहा है ?)
Student : Dr Mahesh Ameta is giving her treatment. He is the best doctor in our district.
(डॉ. महेश अमेटा उनका इलाज कर रहे हैं। वह हमारे जिले के सर्वश्रेष्ठ डॉक्टर हैं।)
Teacher : Yes, I have heard about him. (हाँ, मैंने उनके बारे में सुना है।)
Student : He says that my mother will recover very soon. (वह कहते हैं कि मेरी माताजी बहुत शीघ्र ही स्वस्थ हो जायेंगी।)
Teacher : I hope so.(मैं ऐसी आशा करता हूँ।)
Student : Thank you, sir. (आपको धन्यवाद, श्रीमान्।)

Dialogue 3.

A girl wants to purchase a dictionary, two registers and a pen. She goes to a stationer’s shop. Write a dialogue between them. You may take help from the following hints :

एक लड़की एक शब्दकोश, दो रजिस्टर तथा एक पेन खरीदना चाहती है। वह एक स्टेशनरी की दुकान पर जाती है। उनके बीच के dialogue को लिखिये।

Ask about concession, Oxford Advanced Dictionary, ₹500, Two registers, One pen etc.
Payal : Do you give concession on books for students? (क्या आप छात्रों के लिए पुस्तकों पर दाम में छूट देते हैं ?)
Shopkeeper : Yes, we do. (हाँ, देते हैं।)
Payal : On what sorts of books ? (किस तरह की किताबों पर ?)
Shopkeeper : On all sorts of books. (सभी तरह की किताबों पर।)
Payal : Please give me an Oxford Advanced Dictionary. (कृपया मुझे एक अड्वान्स्ट ऑक्सफोर्ड डिंक्शनरी दीजिये।)
Shopkeeper : Here it is. Give us ₹ 500. Anything else ? (यह रही। हमें ₹ 500 दीजिये। कोई अन्य वस्तु ?)
Payal : Yes, I also need two registers and a pen. (हाँ, मुझे दो रजिस्टर व एक पेन की भी आवश्यकता है।)
Shopkeeper : Here they are. Give me 56 rupees more. (ये रहे। आप मुझे ₹ 56 और दें।)
Payal , Take your amount. Thank you. (लीजिए अपने पैसे। धन्यवाद।)
Shopkeeper : You are welcome. We are at your service. (आपका धन्यवाद स्वीकार है। हम आपकी सेवा में हैं।)

JAC Class 9 English Dialogue Writing

Dialogue 4.

A young boy wants to improve his English. He goes to an expert. Write a dialogue between them. You may take help from the following hints :

एक लड़का अपनी अंग्रेजी सुधारना चाहता है। वह एक एक्सपर्ट के पास जाता है। उनके बीच के dialogue को लिखिये। आप निम्नलिखित संकेतों का सहारा ले सकते हैं-

come to seek help, weak in English, how to improve, fundamentals of grammar, run a special class etc.
Vikas: Good morning, sir. (सुप्रभात, श्रीमान्।)
Mr Pachauri : Good morning. How are you ? (सुप्रभात। तुम कैसे हो ?)
Vikas :I am fine. I have come to seek your advice.
(मैं ठीक हूँ। मैं आपकी सलाह लेने आया हूँ।)
Mr Pachauri :Oh ! you are welcome. (ओह ! तुम्हारा स्वागत है।)
Vikas :Thank you, sir. (धन्यवाद, श्रीमान्।)
Mr Pachauri :That’s all right. Tell me your problem. (ठीक है। मुझे अपनी समस्या बताओ।)
Vikas :You know I am weak in English. (आप जानते हैं कि मैं अंग्रेजी में कमजोर हूँ।)
Mr Pachauri :So, you are. (हाँ, हो तो।)
Vikas ‘ :I seek your help to remove my weakness. Will you please tell me how to do it?
(मैं अपनी कमजोरी दूर करने के लिए आपकी सहायता चाहता हैं। क्या आप कृपया इसका उपाय मुझे बतायेंगे ?)
Mr Pachauri : What sort of help do you seek ? (तुम्हें किस तरह की सहायता चाहिए ?)
Vikas :Will you please teach me fundamentals of grammar? (क्या आप मुझे व्याकरण का प्रारम्भिक ज्ञान करायेंगे ?)
Mr Pachauri : Why not, we run a special class for this. Come tomorrow at 7 a.m. and join it.
(क्यों नहीं, हम इसके लिए एक विशेष कक्षा चलाते हैं। कल सवेरे सात बजे आओ और इसमें शामिल हो जाओ।)

Dialogue 5.

Write a dialogue between a teacher and a habitually late-comer student. You may take help from the following hints :

एक अध्यापक तथा एक आदतन देरी से आने वाले विद्यार्थी के बीच के dialogue को लिखिए। आप निम्नलिखित संकेतों का सहारा ले सकते हैं-
habitual late comer, promise not to come late again, give a chance, about home work, mother hospitalized, never in want of excuses.

Parkeshwar : May I come in, sir ? (क्या मैं अन्दर आ सकता हूँ श्रीमान् ?)
Teacher : Come in. You are a habitual late-comer. (आओ ! तुम आदतन देर से आने वाले हो।)
Parkeshwar : I am sorry, sir. I promise not to come late in future.
(मुझे खेद है, श्रीमान्। मैं वादा करता हूँ कि भविष्य में कभी देर से नहीं आऊँगा।)
Teacher : You have promised to do so many times. But you never keep your promise.
(तुमने अनेक बार ऐसा वादा किया है। पर तुम कभी अपने वादे का पालन नहीं करते हो।)
Parkeshwar : Give me one chance more. (मुझे एक मौका और दीजिये।)
Teacher : This is the last chance. Have you brought your homework ?
(यह आखिरी मौका है। क्या तुम अपना गृहकार्य लाये हो ?)
Parkeshwar : I am sorry, I haven’t. (मुझे खेद है, कि मैं नहीं लाया हूँ।)
Teacher : Why haven’t you done it ? (तुमने उसे क्यों नहीं किया है ?)
Parkeshwar : My mother was seriously ill. I had no time to do it.
(मेरी माँ बहुत बीमार थीं। मुझे उसे करने का समय नहीं मिला।)
Teacher : A boy like you is never in want of excuses.
(तुम्हारे जैसे लड़के क्रे लिए बहानों की कभी कमी नहीं होती।)
Parkeshwar : Believe me, sir. (मेरी बात पर विश्वास करें, श्रीमान्।)
Teacher : OK This is your last chance. Next time you will have to come in time.
(ठीक है। यह तुम्हारा आखिरी अवसर है। अगली बार तुम्हें समय पर आना पड़ेगा।)

JAC Class 9 English Dialogue Writing

Dialogue 6.

Write a dialogue between a visitor and a booking clerk. You may take help of from the following hints :

एक पर्यटक व बुकिंग क्लर्क के बीच के dialogue को लिखिए। आप निम्नलिखित संकेतों का सहारा ले सकते
bus to Jaipur, time of departure, time of arrival at Jaipur, give three tickets, price of ticket.
Vipin : Which is the bus to Jaipur ? (जयपुर जाने वाली बस कौन-सी है ?)
Booking Clerk : That red bus standing in the corner, goes to Jaipur.
(वह लाल बस जो कोने में खड़ी है, जयपुर जाती है।)
Vipin : When does it leave ? (यह कब रवाना होती है ?)
Booking Clerk : It leaves at 10.15 a.m. (यह प्रात: 10 बजकर 15 मिनट पर रवाना होती है।)
Vipin : When does it reach Jaipur ? (यह जयपुर कब पहुँचती है ?)
Booking Clerk : It takes four hours. (यह चार घंटे लेती है।)
Vipin : Please give me three tickets to Jaipur. (कृपया मुझे जयपुर के तीन टिकट दें।)
Booking Clerk : Please give me ₹ 156 . (कृपया मुझे ₹ 156 दें।)
Vipin : It is hundred and sixty. (ये एक सौ साठ रुपये हैं।)
Booking Clerk : Take the tickets and ₹ 4 balance. (यह लीजिए टिकट और शेष चार रुपये।)

Dialogue 7

Write a dialogue between a traveller and a porter (coolie) at the railway station. You may take help from the following hints :

एक यात्री व कुली के बीच रेलवे स्टेशन पर हुए dialogue को लिखो। आप निम्नलिखित संकेतों का सहारा ले सकते

charges for carrying luggage, 50 rupees, unreasonable, fixed charge, train coming, give porterage.
Traveller : How much will you charge for carrying this luggage?
(इस सामान को उठाने के तुम कितने पैसे लोगे ?)
Porter : Fifty rupees, sir. (पचास रुपये, श्रीमान्।)
Traveller : Isn’t it unreasonable ? (क्या यह अनुचित नहीं है ?)
Porter : It is the minimum charge fixed by the Railways.
(यह रेलवे द्वारा निश्चित न्यूनतम चार्ज (मजदूरी) है।)
Traveller : OK carry it. (ठीक है, इसे ले चलो।)
(The porter carries the luggage to the platform.)
(कुली सामान को प्लेटफार्म पर ले जाता है।)
Porter : Get ready, sir. Your train is coming.
(श्रीमान्, तैयार हो जाइये। आपकी गाड़ी आ रही है।)
Traveller : Yes, I am ready. (हाँ, मैं तैयार हूँ।)
Porter : Here is your luggage. (आपका सामान यहाँ रखा है।)
Traveller : OK Take your porterage. (ठीक है, अपनी मजदूरी लो।)
Porter : Thank you, sir. (आपको धन्यवाद, श्रीमान्।)
Traveller : Don’t mention it. (इसकी आवश्यकता नहीं।)

JAC Class 9 English Dialogue Writing

Dialogue 8.

A patient who has been unwell for some time, goes to his doctor. Write an imaginary dialogue which may take place between the patient and the doctor. You may take help from the following hints :

कुछ दिन से बीमार एक मरीज अपने डॉक्टर के पास जाता है। एक काल्पनिक dialogue लिखिए जो डॉक्टर और मरीज के बींच हुआ। आप निम्नलिखित संकेतों का सहारा ले सकते हैं-

your ailment, a high fever, a severe headache, shivering, blood report, malaria, injection of Lariago.
Doctor : What’s your ailment ? (आपको क्या कष्ट है ?)
Patient : I have a high fever. (मुझे तेज बुखार है।)
Doctor : :Anything else ? (और कुछ ?)
Patient : I have a severe headache, and shivering also. (मुझे जोरों का सिरदर्द है और कँपकँपी भी।)
Doctor : I think you have malaria. Do you have blood report?
(मेरे विचार से आपको मलेरिया है। आपके पास खून की रिपोर्ट है।)
Patient : Yes, here it is. (हाँ, यह लीजिए।)
Doctor : I am right. You have malaria. You have to take the injections of Lariago.
Bring injection with a disposable syringe. (मैं सही हूँ। आपको मलेरिया है। आपको लेरिगो के इन्जेक्शन्स लेने पड़ेंगे। एक डिस्पोजेबल सिरिंज इन्जेक्शन के साथ लाना।).
Patient : OK I am just coming back. (ठीक है, मैं अभी वापिस आता हूँ।)

Dialogue 9.

Imagine you are Rajni. Your friend Divya visits you and asks you to go with her on a week long tour to some hill station during the summer vacation. You are busy preparing for secondary examination. Write a dialogue between you and your friend showing your inability to accompany her. You may take help from the following hints :

कल्पना करो कि आप रजनी हैं। आपकी सहेली दिव्या आपसे मिलती है व गर्मी की छुट्टियों के दौरान किसी Hill station पर एक सप्ताह भर के लिए अपने साथ जाने को कहती है। आप सैकण्ड्री परीक्षाओं की तैयारी करने में व्यस्त हैं। आपके व अपनी सहेली के मध्य हुए वार्तालाप को लिखिये जिसमें उसका साथ देने में अपनी असमर्थता व्यक्त की गयी हो। आप निम्नलिखित संकेतों का सहारा ले सकते हैं-

free these days, never gets free, philosophies, a week tour to Nainital and Almora, preparing for Secondary Examination.
Divya : Hello, Rajni ! How are you ? (नमस्कार रजनी ! तुम कैसी हो ?)
Rajni : Fine. So nice of you to be here. (बहुत अच्छी। तुम्हारा यहाँ आना बहुत अच्छा रहा।)
Divya : Are you free these days ? I have a lot to talk about.
(क्या आजकल तुम खाली हो ? मुझे तुमसे काफी बातें करनी हैं।)
Rajni: One never gets free, free of hurries and worries, free of cares.
(कोई कभी खाली नहीं होता, मुसीबतों तथा चिन्ताओं से कहाँ छुट्टी मिलती है।)
Divya : I have come to you with a nice plan.
(मैं तुम्हारे पास एक अच्छी योजना लेकर आई हूँ।)
Rajni : What is it? (यह क्या है ?)
Divya : I am going on a week long tour to Nainital and Almora and you shall accompany me.
(मैं एक सप्ताह के पर्यटन पर नैनीताल व अल्मोड़ा जा रही हूँ और तुम्हें मेरे साथ चलना होगा।)
Rajni : Would that I could ! (काश ! मैं ऐसा कर पाती।)
Divya : Why? what is the problem with you now ?
(क्यों ? अब तुम्हारे सामने क्या परेशानी है ?)
Rajni : You see, I am preparing for my Secondary Examination. I can’t spare even a single minute these days. I hope, you’ll forgive me.
(देखो ! मैं सैकन्ड्री परीक्षा की तैयारी कर रही हूँ। इन दिनों मुझे एक मिनट की भी फुर्सत नहीं है। मैं आशा करती हूँ, तुम मुझे क्षमा करोगी ।)
Divya : Never mind, we’ll visit some beautiful place together next time. (कोई बात नहीं। अगली बार हम साथ-साथ किसी सुन्दर स्थान की यात्रा करेंगे।)

JAC Class 9 English Dialogue Writing

Dialogue 10.

Write a dialogue between two friends who talk about the advantages and disadvantages of journey by train. You may take help from the following hints :

दो मित्रों के बीच एक dialogue लिखिए जो कि रेल-यात्रा के फायदों व नुकसान के बारे में बात कर रहे हैं। आप निम्नलिखित संकेतों का सहारा ले सकते हैं-

prefer railway journey, trains overcrowded, cheaper, comfortable, give 90 points out of 100.
Rajesh : Which one do you prefer – a journey by train or by bus ?
(तुम बस की यात्रा पसन्द करते हो या ट्रेन की ?)
Mahesh : I prefer a journey by train. And you ?
(मैं ट्रेन की यात्रा पसन्द करता हूँ। और तुम ?)
Rajesh : I also prefer a train journey. (मैं भी ट्रेन की यात्रा ही पसन्द करता हूं।)
Mahesh : The trouble is that trains are overcrowded these days.
(मुसीबत यह है कि इन दिनों गाड़ियों में बहुत ज्यादा भीड़ रहती है।)
Rajesh : A journey by train is not only cheaper, but also comfortable, isn’t it ?
(ट्रेन की यात्रा न केवल अपेक्षाकृत सस्ती, बल्कि आरामदेह भी होती है, है न ?)
Mahesh : I entirely agree with you. (मैं तुमसे पूर्णतः सहमत हूं।)
Rajesh : Nowadays it is far from being safe. (इन दिनों यह अब सुरक्षित नहीं रही।)
Mahesh : Frequent accidents and robbery have made it unsafe.
(अक्सर होने वाली दुर्घटनाओं और डकैती ने इसे असुरक्षित बना दिया है।)
Rajesh : Yes, I agree with you, but I would like to give 90 out of 100 points to a train journey.
(हाँ, मैं तुमसे सहमत हूँ लेकिन मैं रेल यात्रा को 100 में से 90 नम्बर दूँगा।)
Mahesh : Yes, that’s what I want to say.
(हाँ, यही तो मैं कहना चाहता हूँ।)

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2

Jharkhand Board JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 Textbook Exercise Questions and Answers.

JAC Board Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Exercise 1.2

प्रश्न 1.
निम्नलिखित संख्याओं को अभाज्य गुणनखण्डों के गुणनफल के रूप में व्यक्त कीजिए :
(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429
हल:
(i) दी गई पूर्णांक संख्या 140 है।
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 1
140 = 2 × 2 × 5 × 7
= 22 × 5 × 7

(ii) दी गई संख्या 156 है।
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 2
156 = 2 × 2 × 3 × 13
= 22 × 3 × 13

(iii) दी गई संख्या 3825 है।
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 3
∴ 3825 = 3 × 3 × 5 × 5 × 17
= 32 × 52 × 17

(iv) दी गई संख्या 5005 हैं।
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 4
∴ 5005 = 5 × 7 × 11 × 13.

(v) दी गई संख्या 7429 है।
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 5
∴ 7429 = 17 × 19 × 23

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2

प्रश्न 2.
पूर्णांकों के निम्नलिखित युग्मों के महत्तम समापवर्तक (H.C.F) और लघुत्तम समापवर्त्य (L.C.M.) ज्ञात कीजिए तथा इसकी जाँच कीजिए कि दो संख्याओं का गुणनफल = H.C.F × L.C.M. है।
(i) 26 और 91
(ii) 510 और 92
(iii) 336 और 54
हल:
(i) दी गई संख्याएँ 26 और 91 हैं।
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 6
26 और 91 के उभयनिष्ठ अभाज्य गुणनखण्डों का (न्यूनतम घातों में) गुणनफल = (13)1 = 13
और 26 और 91 के अधिकतम घातांक में सभी अभाज्य गुणनखण्डों का गुणनफल = 2 × 7 × 13 = 182
अत: महत्तम समापवर्तक (H.C.F.) = 13
तथा लघुत्तम समापवर्त्य (L.C.M.) = 182
अब संख्याओं का गुणनफल = 26 × 91 = 2366
और H.C.F. × L.C.M = 13 × 182 = 2366
अतः संख्याओं का गुणनफल H.C.F. × L.C.M

(ii) दी गई संख्याएँ 510, 92 हैं।
\(\begin{array}{l|l}
2 & 92 \\
\hline 2 & 46 \\
\hline & 23
\end{array}\)
∴ 92 = 2 × 2 × 23 = (2)2 × (23)1
\(\begin{array}{l|r}
2 & 510 \\
\hline 3 & 255 \\
\hline 5 & 85 \\
\hline & 17
\end{array}\)
510 = 2 × 3 × 5 × 17
= (2)1 × (3)1 × (5)1 × (17)1
92 और 510 के उभयनिष्ठ अभाज्य गुणनखण्डों का (न्यूनतम घाड़ों में) गुणनफल = (2)1 = 2
अतः H.C.F. = 2
तथा 92 और 510 के अधिकतम घातांक में सभी अभाज्य गुणनखण्डों का गुणनफल
= (2)2 × (3)1 × (5)1 × (17)1 × (23)1
= 23460
अत: L.C.M. = 23460
अतः महत्तम समापवर्तक (H.C.F) = 2 तथा लघुत्तम समापवर्त्य (L..C.M.) = 23460
अब संख्याओं का गुणनफल 92 × 510 = 46920
और H.C.F. × L.C.M. = 2 × 23460
= 46920
अतः संख्याओं का गुणनफलं = H.C.F. × L.C.M.

(iii) दी गई संख्याएँ 336 और 54 हैं।
\(\begin{array}{c|c}
2 & 336 \\
\hline 2 & 168 \\
\hline 2 & 84 \\
\hline 2 & 42 \\
\hline 3 & 21 \\
\hline & 7
\end{array}\)
336 = 2 × 2 × 2 × 2 × 3 × 7= 24 × 31 × 71
\(\begin{array}{c|r}
2 & 54 \\
\hline 3 & 27 \\
\hline 3 & 9 \\
\hline & 3
\end{array}\)
54 = 2 × 3 × 3 × 3 = 21 × 33
अब दोनों संख्याओं के उभयनिष्ठ अभाग्य गुणनखण्डों का (न्यूनतम घातों में) गुणनफल 21 × 31 = 6
∴ H.C.F. = 6
और दोनों संख्याओं के अधिकतम घातों में सभी अभाज्य गुणनखण्डों का गुणनफल = 24 × 33 × 7
= 16 × 27 × 7
= 3024
∴ L.C.M. = 3024
अतः महत्तम समापवर्तक (H.C.F.) = 6
और लघुत्तम समापवर्त्य (L.C.M.) = 3024
∵ संख्याओं का गुणनफल 54 × 336 = 18144
और H.C.F. × L.C.M. = 6 × 3024 = 18144
अतः संख्याओं का गुणनफल = H.C.F. × L.C.M.

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2

प्रश्न 3.
अभाज्य गुणनखण्ड विधि द्वारा निम्नलिखित पूर्णांकों के म. स. (H.C.F.) और ल. स. (L..C.M.) ज्ञात कीजिए :
(i) 12, 15 और 21
(ii) 17, 23 और 29
(iii) 8, 9 और 25
हल:
(i) दी गई संख्याएँ 12, 15 और 21 हैं।
इनके अभाज्य गुणनखण्ड करने पर
12 = 2 × 2 × 3 = (2)2 × 3
15 = 3 × 5
तथा 21 = 3 × 7
तीनों संख्याओं के उभयनिष्ठ अभाज्य गुणनखण्डों का (न्यूनतम घातों में) गुणनफल 31 = 3
∴ H.C.F. = 3
तथा तीनों संख्याओं के अभाज्य गुणनखण्डों का (अधिकतम घातों में) गुणनफल = 22 × 3 × 5 × 7
= 4 × 3 × 5 × 7 = 420
∴ L.C.M. = 420
अत: महत्तम समापवर्त (H.C.F) = 3
और लघुत्तम समापवर्त्य (L..C.M.) = 420

(ii) दी गई संख्याएँ 17, 23 और 29 हैं।
इनके अभाज्य गुणनखण्ड करने पर,
17 = 1 × 17, 23 = 1 × 23
तथा 29 = 1 × 29
उभयनिष्ठ अभाज्य गुणनखण्डों का (न्यूनतम घार्तो में) गुणनफल = 1
∴ H.C.F. = 1
अभाग्य गुणनखण्डों का (अधिकतम घातों में) गुणनफल = 17 × 23 × 29
= 11339
∴ L.C.M. = 11339
अत: H.CF. = 1 और L.C.M. = 11339

(iii) दी गई संख्याएँ 8, 9 और 25 के अभाज्य गुणनखण्ड करने पर,
8 = 2 × 2 × 2 = 23
9 = 3 × 3 = 32
25 = 5 × 5 = 52
उभयनिष्ठ अभाज्य गुणनखण्डों का (न्यूनतम घातों में) गुणनफल = 1
∴ H.C.F. = 1
अभाज्य गुणनखण्डों का (अधिकतम घातों में) गुणनफल
= (2)3 × (3)2 × (5)2
= 8 × 9 × 25 = 1800
∴ L.C.M. = 1800
अतः H.C.F. = 1 और L.C.M. = 1800.

प्रश्न 4.
यदि H.C.F. (306, 657) = 9 तो है। LCM (306, 657) ज्ञात कीजिए।
हल:
हम जानते हैं कि
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2 7
= 34 × 657 = 22338
अत: L.C.M. (306, 657) = 22338

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2

प्रश्न 5.
जाँच कीजिए कि क्या किसी प्राकृत संख्या n के लिए, संख्या 6n अंक 0 पर समाप्त हो सकती है।
हल:
माना किसी प्राकृत संख्या n के लिए 6n अंक 0 पर समाप्त होती है।
तब 6n, 5 से विभाज्य होगा।
∴ 6n = (2 × 3)n
अतः स्पष्ट है कि 6n के अभाज्य गुणनखण्डों में 2 या 3 के अतिरिक्त कोई अन्य अभाज्य गुणनखण्ड नहीं है।
∴ 6n का कोई गुणनखण्ड 5 नहीं हो सकता है।
अतः 6n, अंक शून्य पर समाप्त नहीं हो सकती है।

प्रश्न 6.
व्याख्या कीजिए कि 7 × 11 × 13 + 13 और 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 भाज्य संख्याएं क्यों हैं ?
हल:
7 × 11 × 13 + 13 = 13[7 × 11 + 1]
= 13(77 + 1)
= 13 × 78
= 13 × 2 × 3 × 13
= 2 × 3 × 13 × 13
∵ 2, 3 और 13 अभाज्य संख्याएँ हैं। अतः अंकगणित की आधारभूत प्रमेय के अनुसार प्रत्येक भाज्य संख्या अभाज्य संख्याओं के एक गुणनफल के रूप में गुणनखंडित की जा सकती है।
अतः यह एक भाज्य संख्या है।
इसी प्रकार
7 × 6 × 5 × 4 × 3 × 2 × 1 + 5
= 5[7 × 6 × 4 × 3 × 2 × 1 + 1]
= 5(1008 + 1)
= 5 × 1009
∵ 5 और 1009 अभाज्य संख्याएँ हैं। अतः अंकगणित की आधारभूत प्रमेय के अनुसार यह एक भाज्य संख्या है।

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.2

प्रश्न 7.
किसी खेल के मैदान के चारों ओर एक वृत्ताकार पथ है। इस मैदान का एक चक्कर लगाने में सोनिया को 18 मिनट लगते हैं, जबकि इसी मैदान का एक चक्कर लगाने में रवि को 12 मिनट लगते हैं। मान लीजिए वे दोनों एक ही स्थान और एक ही समय पर चलना प्रारम्भ करके एक ही दिशा में चलते हैं कितने समय बाद वे पुनः प्रारम्भिक स्थान पर मिलेंगे ?
हल:
सोनिया द्वारा मैदान का एक चक्कर लगाने में लगा समय = 18 मिनट
रवि द्वारा मैदान का एक चक्कर लगाने में लगा समय = 12 मिनट
वे पुन: प्रारम्भिक स्थान पर मिलेंगे = L.C.M. (18, 12)
∴ 18 और 12 के अभाज्य गुणनखण्ड हैं:
18 = 2 × 3 × 3
= 2 × (3)2
12 = 2 × 2 × 3
= (2)2 × 3
L.C.M. (18, 12) = (2)2 × (3)2
= 4 × 9 = 36
अतः सोनिया और रवि प्रारम्भिक स्थान पर 36 मिनट बाद मिलेंगे।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

Jharkhand Board JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 Textbook Exercise Questions and Answers.

JAC Board Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Exercise 9.3

प्रश्न 1.
आकृति में, AABC की एक माध्यिका AD पर स्थित E कोई बिन्दु है। दर्शाइए कि
ar (ΔABE) = ar (ΔACE).
हल:
दिया है: AD, त्रिभुज ABC की माध्यिका है और भुजा AD पर कोई बिन्दु है।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 1
सिद्ध करना है :
ar (ΔABE) = ar (ΔACE).
उपपत्ति: ∵ AD, त्रिभुज ABC की माध्यिका है।
ar (ΔABD) = ar (ΔACD) …..(i)
साथ ही, ED त्रिभुज EBC की माध्यिका है।
ar (ΔBED) = ar (ΔCED) …..(ii)
समीकरण (ii) में से समीकरण (i) को घटाने पर,
ar (ΔABD) – ar (ΔBED) = ar (ΔACD) – ar (ΔCED)
∴ ar (ΔABE) = ar (ΔACE). इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

प्रश्न 2.
ΔABC में, E, माध्यिका AD का मध्य-बिन्दु है। दर्शाइए कि ar (ΔBED) = \(\frac{1}{4}\)ar (ΔABC)
हल:
दिया है: ΔABC में माध्यिका AD का मध्य-बिन्दु E है।
सिद्ध करना है: ar (ΔBED) = \(\frac{1}{4}\)ar (ΔABC)
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 2
उपपत्ति: ∵ AD त्रिभुज ABC की माध्यिका है और माध्यिका एक त्रिभुज को दो समान क्षेत्रफल वाले त्रिभुजों में विभाजित करती है।
∴ ar (ΔABD) = ar (ΔADC)
[∵ ar (ΔABC) = \(\frac{1}{2}\)ar (ΔABC)]
ar (ΔABD) = \(\frac{1}{2}\)ar (ΔABC) …..(i)
ΔABD में BE माध्यिका है।
∴ ar (ΔBED) = ar (ΔBAE) …..(ii)
[∵ ar (ΔBAE) = \(\frac{1}{2}\)ar (ΔABD)]
⇒ ar (ΔBED) = \(\frac{1}{2}\)ar (ΔABD)
⇒ ar (ΔBED) = \(\frac{1}{2} \times \frac{1}{2}\)ar (ΔABC).
[समीकरण (i) से]
⇒ ar (ΔBED) = \(\frac{1}{4}\)ar (ΔABC), इति सिद्धम्।

प्रश्न 3.
दर्शाइए कि समान्तर चतुर्भुज के दोनों विकर्ण उसे बराबर क्षेत्रफल वाले चार त्रिभुजों में बाँटते हैं।
हल:
दिया है: समान्तर चतुर्भुज ABCD
सिद्ध करना है:
विकर्ण AC और BD समान्तर चतुर्भुज ABCD को समान क्षेत्रफल वाले चार त्रिभुजों में बाँटते हैं।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 3
रचना: BL ⊥ AC खींचा।
उपपत्ति: चूँकि ABCD एक समान्तर चतुर्भुज है, अतः इसके विकर्ण AC और BD एक-दूसरे को O बिन्दु पर समद्विभाजित करते हैं।
∴ AO = OC और BO = OD
अब ar (ΔAOB) = \(\frac{1}{2}\) × OA × BL
ar (ΔOBC) = \(\frac{1}{2}\) × OC × BL
किन्तु AO = OC
∴ ar(ΔAOB) = ar (ΔOBC) ……(1)
इसी प्रकार,
ar (ΔOBC) = ar (ΔOCD) ……(2)
ar (ΔOCD) = ar (ΔODA) ……(3)
ar (ΔODA) = ar (ΔOAB) ……(4)
समीकरण (1) (2) (3) वं (4) से,
ar (ΔOAB) = ar (ΔOBC) – (ΔOCD)
= ar (ΔOAD). इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

प्रश्न 4.
आकृति में, ABC और ABD एक ही आधार AB पर बने दो त्रिभुज हैं। यदि रेखाखण्ड CD रेखाखण्ड AB से बिन्दु पर समद्विभाजित होता है, तो दर्शाइए कि:
ar (ΔABC) = ar (ΔABD).
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 4
हल:
दिया है: ΔABC और ΔABD एक ही आधार AB पर इस प्रकार स्थित हैं कि बिन्दु C और D, AB के एक ही ओर स्थित नहीं हैं और CO = DO है।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 5
सिद्ध करना है: ar (ΔABC) = ar (ΔADB).
रचना: बिन्दु C और D से आधार AB पर लम्ब CE और DF इस प्रकार खींचे कि वे आधार AB को क्रमश: E और F बिन्दु पर प्रतिच्छेदित करते हैं।
उपपत्ति: ΔCOE तथा ΔDOF में,
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 6
अतः ΔABC का क्षेत्रफल = ΔABD का क्षेत्रफल। इति सिद्धम्।

प्रश्न 5.
D, E और F क्रमश: त्रिभुज ABC की भुजाओं BC, CA और AB के मध्य बिन्दु हैं। दर्शाइए कि :
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 7
(i) BDEF एक समान्तर चतुर्भुज है।
(ii) ar (ΔDEF) = \(\frac{1}{4}\)ar (ΔABC)
(iii) ar (||gm BDEF) = \(\frac{1}{2}\)ar (ΔABC).
हल:
दिया है: D, E और F क्रमश: ΔABC की भुजाओं BC, CA और AB के मध्य बिन्दु हैं।
सिद्ध करना है : (i) BDEF एक समान्तर चतुर्भुज है।
(ii) ar (ΔDEF) = \(\frac{1}{4}\)ar (ΔABC)
(iii) ar (||gm BDEF) = \(\frac{1}{2}\)ar (ΔABC)
उपपत्ति: (i) ΔABC में, EF || BC
[मध्य- बिन्दु प्रमेय द्वारा, चूँकि E और F क्रमश: AC और AB के मध्य-बिन्दु हैं।]
EF || BD ……(i)
इसी प्रकार, ED || AB
∴ ED || FB …..(ii)
समीकरण (i) और (ii) से, BDEF एक समान्तर चतुर्भुज है।
इति सिद्धम्।

(ii) इसी प्रकार, FDCE और AFDE समान्तर चतुर्भुज
∴ ar (ΔFBD) = ar (ΔDEF) ……(iii)
[∵ FD समान्तर चतुर्भुज BDEF का एक विकर्ण है।]
ar (ΔDEC) = ar (ΔDEF) …..(iv)
इसी प्रकार,
ar (ΔAFE) = ar (ΔDEF) ….. (v)
[∵ EF समान्तर चतुर्भुज AFDE का एक विकर्ण है।]
समीकरण (iii), (iv) व (v) से,
ar (ΔFBD) = ar (ΔDEC) = ar (ΔAFE) = ar (ΔDEF)
⇒ ar (ΔDEF) = \(\frac{1}{4}\)ar (ΔABC).
इति सिद्धम्।

(iii) एवं ar (||gm BDEF) = 2 ar (ΔDEF)
[∵ ar (ΔDEF) = \(\frac{1}{4}\)ar (ΔABC) सिद्ध है। ]
= 2 × \(\frac{1}{4}\) ar (ΔABC)
= \(\frac{1}{2}\)ar (ΔABC) इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

प्रश्न 6.
आकृति में, चतुर्भुज ABCD के विकर्ण AC और BD परस्पर बिन्दु O पर इस प्रकार प्रतिच्छेदित करते हैं कि OB = OD। यदि AB = CD, तो दर्शाइए कि :
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 8
(i) ar (ΔDOC) = ar (ΔAOB)
(ii) ar (ΔDCB) = ar (ΔACB )
(iii) DA || CB या ABCD एक समान्तर चतुर्भुज है।
हल:
(i) DN ⊥ AC और BM ⊥ AC खींचा।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 9
ΔDON और ΔBOM में,
∵ ∠DNO = ∠BMO [प्रत्येक 90°]
∠DON = ∠BOM [शीर्षाभिमुख कोण]
तथा OD = OB [दिया है]
ΔDON ≅ ΔBOM (AAS नियम)
∴ ar (ΔDON) = ar (ΔBOM) …..(i)
∴ DN = BM
अब ΔDCN और ΔBAM में,
∵ ∠DNC = ∠BMA [प्रत्येक 90°]
DC = AB [दिया है]
तथा DN = BM
[∵ ΔDON ≅ ΔBOM अत: DN = BM]
∴ ΔDCN ≅ ΔBAM (RHS नियम)
∴ ar(ΔDON) = ar (ΔBAM) ……(ii)
समीकरण (i) एवं (ii) को जोड़ने पर,
ar (ΔDON) + ar (ΔDCN) = ar (ΔBOM) + ar (ΔBAM)
या ar (ΔDOC) = ar (AOB) इति सिद्धम्।

(ii) ∵ ar (ΔDOC) = ar (ΔABO)
∴ ar (ΔDOC) + ar (ΔBOC) = ar (ΔAOB) + ar (ΔBOC)
⇒ ar (ΔDCB) = ar (ΔACB) इति सिद्धम्।

(iii) ΔDCB और ΔACB के क्षेत्रफल और आधार समान हैं अतः उनके त्रिभुज समान समान्तर रेखाओं के मध्य स्थित होंगे।
या DA || CB तथा DA = CB अर्थात् ABCD एक समान्तर चतुर्भुज है। इति सिद्धम्।

प्रश्न 7.
बिन्दु D और E क्रमश: ΔABC की भुजाओं AB और AC पर इस प्रकार स्थित हैं कि ar (ΔDBC) = ar (ΔEBC) है। दर्शाइए कि DE || BC है।
हल:
∵ ΔDBC और ΔEBC के क्षेत्रफल समान हैं और दोनों के आधार भी समान हैं।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 10
∴ ΔDBC की D से ऊँचाई
= ΔEBC की E से ऊँचाई
या ΔDBC और ΔEBC समान समान्तर रेखाओं के मध्य स्थित B हैं।
अतः DE || BC. इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

प्रश्न 8.
XY त्रिभुज ABC की भुजा BC के समान्तर एक रेखा है। यदि BE || AC और CF || AB रेखा XY से क्रमश: E और F पर मिलती हैं, तो दर्शाइए कि :
ar (ΔABE) = ar (ΔACF).
हल:
दिया है: ΔABC में XY || BC, CF || AB तथा BE || AC
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 11
सिद्ध करना है: ar (ΔABE) = ar (ΔACF).
उपपत्ति: ∵ XY || BC और BE || AC.
∴ AEBC का एक समान्तर चतुर्भुज हैं,
∵ AB, समान्तर चतुर्भुज AEBC का विकर्ण है।
∴ ΔABE का क्षेत्रफल = ΔABC का क्षेत्रफल … (1)
पुनः ∵ XY || BC और CF || AB
∴ ABCF एक समान्तर चतुर्भुज हैं।
∵ AC, समान्तर चतुर्भुज ABCF का विकर्ण है।
∴ ΔABC का क्षेत्रफल = ΔACF का क्षेत्रफल …….(2)
समीकरण (1) व (2) से,
ΔABE का क्षेत्रफल = ΔACF का क्षेत्रफल
या ar (ΔABE) = ar (ΔACF). इति सिद्धम्।

प्रश्न 9.
समान्तर चतुर्भुज ABCD की एक भुजा AB को बिन्दु तक बढ़ाया गया है से होकर CP के समान्तर खींची गई रेखा बढ़ाई गई रेखा CB को Q पर मिलती है और फिर समान्तर चतुर्भुज PBQR को पूरा किया गया है (देखिए आकृति)। दिखाइए कि ar (||gm ABCD) = ar (||gm PBQR) है।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 12
हल:
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 13
रचना: AC और PQ को मिलाया।
चूँकि AC और PQ क्रमशः समान्तर चतुर्भुज ABCD और समान्तर चतुर्भुज PBQR के विकर्ण हैं।
∴ ar (ΔABC) = \(\frac{1}{2}\)ar (||gm ABCD) …..(i)
तथा ar (ΔPBQ) = \(\frac{1}{2}\)ar (||gm PBQR) …. (ii)
अब, ΔACQ और ΔAQP समान आधार AQ पर और समान समान्तर रेखाओं AQ और CP के मध्य स्थित हैं।
ar (ΔACQ) = ar (ΔAQP) …..(iii)
समीकरण (iii) के दोनों पक्षों से ar (ΔABQ) घटाने पर,
ar (ΔACQ) – ar (ΔABQ) = ar (ΔAQP) – ar (ΔABQ)
⇒ ar (ΔABC) = ar (ΔBPQ)
⇒ \(\frac{1}{2}\)ar (||gm ABCD) = \(\frac{1}{2}\)ar (||gm PBQR),
[समीकरण (i) एवं (ii) से]
⇒ ar (||gm ABCD) = ar (||gm PBQR).
इति सिद्धम्।

प्रश्न 10.
एक समलम्ब ABCD, जिसमें AB || DC है, के विकर्ण AC और BD परस्पर O पर प्रतिच्छेदित करते हैं। दर्शाइए कि ar (ΔAOD) = ar (ΔBOC) है।
हल:
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 14
समलम्ब चतुर्भुज ABCD में AB || DC है, तथा विकर्ण AC और BD परस्पर O पर प्रतिच्छेदित करते हैं।
∴ ΔABC और ΔABD समान आधार AB पर और समान समान्तर रेखाओं AB तथा DC के मध्य स्थित हैं।
∴ ar (ΔABD) = ar (ΔABC)
[ar (ΔAOB) को दोनों पक्षों में से घटाने पर]
ar (ΔABD) – ar (ΔAOB) = ar (ΔABC) – ar (ΔAOB)
अत: ar (ΔAOD) = ar (ΔBOC) इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

प्रश्न 11.
दी गई आकृति में, ABCDE एक पंचभुज है। B से होकर AC के समान्तर खींची गई रेखा बढ़ाई गई रेखा DC को F पर मिलती है। दर्शाइए कि-
(i) ar (ΔACB) = ar (ΔACF)
(ii) ar (||gm AEDF) = ar (||gm ABCDE).
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 15
हल:
(i) ∵ ΔACB और ΔACF समान आधार AC पर और समान समान्तर रेखाओं AC और BF के मध्य स्थित हैं।
∴ ar (ΔACB) = ar (ΔACF) इति सिद्धम्।

(ii) ar (ΔACB) = ar (ΔACF)
दोनों पक्षों में ar (||gm ACDE) को जोड़ने पर,
ar (ΔACF) + ar (||gm ACDE) = ar (ΔACB) + ar (||gm ACDE)
⇒ ar (||gm AEDF) = ar (||gm ABCDE). इति सिद्धम्।

प्रश्न 12.
किसी गाँव के निवासी इतवारी के पास एक चतुर्भुजाकार भूखण्ड था उस गाँव की ग्राम पंचायत ने उसके भूखण्ड के एक कोने से उसका कुछ भाग लेने का निर्णय लिया ताकि वहाँ एक स्वास्थ्य केन्द्र का निर्माण कराया जा सके । इतवारी इस प्रस्ताव को इस प्रतिबन्ध के साथ स्वीकार कर लेता है कि उसे इस भाग के बदले उसी भूखण्ड के संलग्न एक भाग ऐसा दे दिया जाए कि उसका भूखण्ड त्रिभुजाकार हो जाए। स्पष्ट कीजिए कि इस प्रस्ताव को किस प्रकार कार्यान्वित किया जा सकता है ?
हल:
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 16
माना ABCD एक चतुर्भुजाकार भूखण्ड है जिसके एक कोने से कुछ भाग लेकर समान क्षेत्रफल का दूसरा भाग देना है जो खेत से संलग्न भी हो और बचे खेत के साथ मिलकर पूर्ण भूखण्ड त्रिभुजाकार बन सके।
रचना: चतुर्भुजाकार खेत का विकर्ण AC खींचा। बिन्दु D से DE || AC खींचा जो बढ़ी हुई BC को E पर काटता है रेखाखण्ड AE खींचा जो CD रेखा को O पर काटता है।
अब ΔACD और ΔACE एक ही आधार AC पर और समान समान्तर रेखाओं AC व DE के बीच स्थित हैं।
ar (ΔACD) = ar (ΔACE)
दोनों पक्षों में ar (ΔAOC) जोड़ने पर
या ar (ΔAOD) + ar (ΔAOC) = ar (ΔAOC) + ar (ΔCOE)
या ar (ΔAOD) = ar (ΔCOE)
अत: ΔAOD क्षेत्र लेकर उसके बचे भूखण्ड के क्षेत्र में क्षेत्र (ΔCOE) जोड़कर दे देना चाहिए।

प्रश्न 13.
ABCD एक समलम्ब है, जिसमें AB || DC है। AC के समान्तर एक रेखा AB को X पर और BC को पर प्रतिच्छेदित करती है। सिद्ध कीजिए कि ar (ΔADX) = ar (ΔACY) है।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 17
हल:
दिया है: समलम्ब ABCD में AB || DC और XY || AC है।
रचना: XC और DX को मिलाया।
ar (ΔACX) = ar (ΔACY) …..(i)
[∵ ΔACX और ΔACY का आधार समान है और समान समान्तर रेखाओं AC और XY के मध्य स्थित हैं।]
किन्तु ar (ΔACX) = ar (ΔADX) …..(ii)
[∵ ΔACX और ΔADX का आधार AX समान है और समान समान्तर रेखाओं AB और DC के मध्य स्थित हैं।]
समीकरण (i) एवं (ii) से,
ar (ΔADX) = ar (ΔACY). इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

प्रश्न 14.
दी गई आकृति में AP || BQ || CR। सिद्ध कीजिए कि ar (AQC) = ar (PBR)।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 18
हल:
दिया है: AP || BQ है और BQ || CR।
रेखाखण्ड AQ, CQ, BP और BR खींचे गए हैं।
सिद्ध करना है: ar (ΔAQC) = ar (ΔPBR).
उपपत्ति: ∵ AP || BQ; ΔABQ और ΔPBQ दोनों समान आधार BQ और समान समान्तर रेखाओं AP व BQ के बीच स्थित हैं।
∴ ar (ΔABQ) = ar (ΔPBQ) …….(1)
इसी प्रकार, BQ || CR
ΔBCQ और ΔBQR समान आधार BQ पर तथा समान समान्तर रेखाओं BQ व CR के बीच स्थित हैं।
∴ ar (ΔBCQ) = ar (ΔBQR) …..(2)
समीकरण (1) व (2) को जोड़ने पर,
ar (ΔABQ) + ar (ΔBCQ) = ar (ΔPBQ) + ar (ΔBQR)
या ar (ΔAQC) = ar (ΔPBR). इति सिद्धम्।

प्रश्न 15.
चतुर्भुज ABCD के विकर्ण AC और BD परस्पर बिन्दु पर इस प्रकार प्रतिच्छेदित करते हैं कि ar (ΔAOD) = ar (ΔBOC)। सिद्ध कीजिए कि ABCD एक समलम्ब है।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 19
हल:
चतुर्भुज ABCD के विकर्ण AC और BD परस्पर बिन्दु O पर इस प्रकार प्रतिच्छेदित करते हैं कि
ar (ΔAOD) = ar (ΔBOC) …..(i)
ar (ΔODC) को दोनों पक्षों में जोड़ने पर,
ar (ΔAOD) + ar (ΔODC) = ar (ΔBOC) + ar (ΔODC)
⇒ ar (ΔADC) = ar (ΔBDC)
⇒ \(\frac{1}{2}\) × DC × AL = \(\frac{1}{2}\) × DC × BM
⇒ AL =BM
⇒ AB || DC
अत: ABCD एक समलम्ब है। इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3

प्रश्न 16.
दी गई आकृति में, ar (ΔDRC) = ar (ΔDPC) और ar (ΔBDP) = ar (ΔARC)। दर्शाइए कि दोनों चतुर्भुज ABCD और DCPR समलम्ब हैं।
हल:
दिया है: ΔDRC, ΔDPC, ΔBDP और ΔARC इस प्रकार हैं कि
ar (ΔDRC) = ar (ΔDPC)
और ar (ΔBDP) = ar (ΔARC).
सिद्ध करना है: चतुर्भुज ABCD और चतुर्भुज DCPR समलम्ब हैं।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.3 20
उपपत्ति: दिया है :
ar ΔDRC = ar ΔDPC तथा दोनों एक ही आधार पर DC पर आधारित है।
∴ DC || RP …..(1)
अतः चतुर्भुज DCPR एक समलम्ब है।
∵ ar (ΔBDP) = ar (ΔARC) (दिया है)
∴ ar (ΔBDC) + ar (DPC) = ar (ΔDRC) + ar (ΔADC)
परन्तु ar (ΔDPC) = ar (ΔDRC)
∴ घटाने पर, ar (ΔBDC) = ar (ΔADC)
∵ ΔBDC और ΔADC के क्षेत्रफल बराबर हैं और उनका उभयनिष्ठ आधार DC है।
तब ΔBDC और ΔADC समान समान्तर रेखाओं के बीच स्थित हैं।
∴ AB || DC ……(2)
चतुर्भुज ABCD एक समलम्ब है।
तब चतुर्भुज ABCD और चतुर्भुज DCPR दोनों ही समलम्ब हैं।
इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2

Jharkhand Board JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2 Textbook Exercise Questions and Answers.

JAC Board Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Exercise 13.2

प्रश्न 1.
ऊँचाई 14 सेमी वाले एक लम्बवृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 88 सेमी2 है। बेलन के आधार का व्यास ज्ञात कीजिए।
हल:
दिया है, h = 14 सेमी और A = 88 सेमी2
बेलन का वक्र पृष्ठीय क्षेत्रफल = 2πrh
⇒ 88 = 2 × \(\frac{22}{7}\) × r × 14, जहाँ r त्रिज्या है।
⇒ 2r = \(\frac{88 \times 7}{22 \times 14}\) सेमी
⇒ 2r = \(\frac{4 \times 7}{14}\) सेमी = \(\frac{28}{14}\) सेमी = 2 सेमी
∴ बेलन के आधार का व्यास = 2 सेमी।

प्रश्न 2.
धातु की एक चादर से 1 मीटर ऊंची और 140 सेमी व्यास के आधार वाली एक बन्द बेलनाकार टंकी बनाई जानी है। इस कार्य के लिए कितने वर्ग मीटर चादर की आवश्यकता होगी?
हल:
आधार का व्यास = 140 सेमी
= 1.40 मीटर
∴ आधार की त्रिज्या (r) = \(\frac{1.40}{2}\) = 0.70 मी.
बेलनाकार टंकी की ऊँचाई (h) = 1 मीटर
JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2 1
∴ टंकी के लिए आवश्यक चादर = बेलन का सम्पूर्ण पृष्ठीय क्षेत्रफल = 2πr (r + h)
= 2 × \(\frac{22}{7}\) × 0.7(0.7+ 1.0) सेमी2
= 2 × \(\frac{22}{7}\) × 0.7 × 1.7
= 7.48 मीटर2
अतः टंकी के लिए आवश्यक चादर 7.48 मीटर2

JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2

प्रश्न 3.
धातु का एक पाइप 77 सेमी लम्बा है। इसके एक अनुप्रस्थ काट का आन्तरिक व्यास 4 सेमी है और बाहरी व्यास 4.4 सेमी है (देखिए आकृति)। ज्ञात कीजिए :
(i) आन्तरिक वक्र पृष्ठीय क्षेत्रफल
(ii) बाहरी वक्र पृष्ठीय क्षेत्रफल
(iii) कुल पृष्ठीय क्षेत्रफल।
हल:
दिया है, h = 77 सेमी
आन्तरिक व्यास (d1) = 4 सेमी
∴ आन्तरिक त्रिज्या (r1) = \(\frac{4}{2}\) सेमी
= 2 सेमी
बाहरी व्यास (d2) = 4.4 सेमी
∴ बाहरी त्रिज्या (r2) = \(\frac{4.4}{2}\) सेमी = 2.2 सेमी
(i) आन्तरिक वक्र पृष्ठीय क्षेत्रफल = 2πr1h
= 2 × \(\frac{22}{7}\) × 2 × 77 सेमी2
= 968 सेमी2
(ii) बाहरी वक्र पृष्ठीय क्षेत्रफल = 2πr2h
= 2 × \(\frac{22}{7}\) × 2.2 × 77 सेमी2
= 1064.8 सेमी2
(iii) … किनारे के एक भाग का क्षेत्रफल
= πr22 – πr12 = π(r22 – r12)
∴ किनारे के दोनों भागों का क्षेत्रफल
= 2π(r22 – r12) = 2π(2.22 – 22) सेमी2
= 2π(4.84 – 4) सेमी2
= 2 × \(\frac{22}{7}\) × 0.84 सेमी2
= 44 × 0.84 सेमी2
= 44 × 0.12 सेमी2 = 5.28 सेमी2
∴ पाइप का कुल पृष्ठीय क्षेत्रफल = आन्तरिक वक्र पृष्ठीय क्षेत्रफल + बाहरी वक्र पृष्ठीय क्षेत्रफल + दोनों सिरों का क्षेत्रफल
= (968 + 1064.8 + 5.28) सेमी2
= 2038.08 सेमी2

प्रश्न 4.
एक रोलर (roller) का व्यास 84 सेमी है और लम्बाई 120 सेमी है एक खेल के मैदान को एक बार समतल करने के लिए 500 चक्कर लगाने पड़ते हैं। खेल के मैदान का वर्ग मीटर में क्षेत्रफल ज्ञात कीजिए।
हल:
रोलर का व्यास (2r) = 84 सेमी
तथा ऊँचाई (h) = 120 सेमी
रोलर का पृष्ठीय क्षेत्रफल = 2πrh
= (2r) × π × h
= 84 × \(\frac{22}{7}\) ×120 सेमी2
= 12 × 22 × 120 सेमी2
= 31680 सेमी2
एक चक्कर में समतल हुआ क्षेत्र = रोलर का पृष्ठीय क्षेत्रफल
= 31680 सेमी2
500 चक्करों में समतल हुआ क्षेत्रफल
= 500 × 31680 वर्ग सेमी
= \(\frac{500 \times 31680}{10000}\) वर्ग मीटर
= 1584 मीटर2
∴ खेल के मैदान का क्षेत्रफल = 1584 मीटर2

प्रश्न 5.
किसी बेलनाकार स्तम्भ का व्यास 50 सेमी और ऊँचाई 3.5 मी है। ₹ 12.50 प्रति मीटर2 की दर से इस स्तम्भ के वक्र पृष्ठ पर पेण्ट कराने का व्यय ज्ञात कीजिए।
हल:
स्तम्भ का व्यास (2r) = 50 सेमी = 0.5 मीटर
स्तम्भ की ऊँचाई (h) = 3.5 मीटर
∴ स्तम्भ का पृष्ठीय क्षेत्रफल = 2πrh
= (2r) × π × h
= 0.5 × \(\frac{22}{7}\) × 3.5 मीटर2
= \(\frac{5}{10} \times \frac{22}{7} \times \frac{35}{10}=\frac{11}{2}\) मीटर2
= 5.5 मीटर2
स्तम्भ पर पैंट कराने का व्यय = पृष्ठीय क्षेत्रफल × दर
= ₹ 12.50 × 5.5
= ₹ 68.75

JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2

प्रश्न 6.
एक लम्बवृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 4.4 मीटर2 है। यदि बेलन के आधार की त्रिज्या 0.7 मीटर है, तो उसकी ऊँचाई ज्ञात कीजिए।
हल:
बेलन का वक्र पृष्ठीय क्षेत्रफल = 4.4 मीटर2
∴ 2πrh = 4.4
⇒ 2× \(\frac{22}{7}\) × 0.7 × h = 4.4
∴ h = \(\frac{4.4 \times 7}{2 \times 22 \times 0.7}\) मीटर
= \(\frac{44 \times 7 \times 10}{2 \times 22 \times 7 \times 10}\) मीटर
= 1 मीटर
अतः बेलन की ऊँचाई = 1 मीटर

प्रश्न 7.
किसी वृत्ताकार कुएँ का आन्तरिक व्यास 3.5 मीटर और यह 10 मीटर गहरा है ज्ञात कीजिए :
(i) आन्तरिक वक्र पृष्ठीय क्षेत्रफल,
(ii) ₹ 40 रुपये प्रति मीटर की दर से इसके वक्र पृष्ठ पर प्लास्टर कराने का व्यय।
हल:
कुएँ का आन्तरिक व्यास (2r) = 3.5 मीटर
कुएँ की गहराई (h) = 10 मीटर
(i) कुएँ का वक्र पृष्ठीय क्षेत्रफल = 2πrh
= (2r) × π × h
= 3.5 × \(\frac{22}{7}\) × 10 = \(\frac{35 \times 22}{7}\) मीटर2
= 5 × 22 = 110 मीटर2

(ii) प्लास्टर कराने का व्यय = कुएँ का वक्र पृष्ठीय क्षेत्रफल × दर
= ₹ 40 × 110
= ₹ 4,400

प्रश्न 8.
गरम पानी द्वारा गरम रखने वाले एक संयंत्र में 28 मीटर लम्बाई और 5 सेमी व्यास वाला एक बेलनाकार पाइप है। इस संयंत्र में गर्मी देने वाला कुल कितना पृष्ठ है ?
हल:
पाइप का व्यास (2r) = 5 सेमी
= \(\frac{5}{100}\) मीटर = \(\frac{1}{20}\) मीटर
पाइप की लम्बाई (h) = 28 मीटर
पाइप का पृष्ठीय क्षेत्रफल = 2πrh = (2r) πh
= \(\frac{1}{20} \times \frac{22}{7}\) × 28
= \(\frac{22}{5}\) = 4.4 मीटर2
∴ कुल पृष्ठ = 4.4 मीटर2
अतः संयंत्र में गर्मी देने वाला कुल पृष्ठ = 4.4 मीटर2

JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2

प्रश्न 9.
ज्ञात कीजिए :
(i) एक बेलनाकार पेट्रोल की बन्द टंकी का पार्श्व या वक्र पृष्ठीय क्षेत्रफल, जिसका व्यास 4.2 मीटर और ऊँचाई 4.5 मीटर है।
(ii) इस टंकी को बनाने में कुल कितना इस्पात (Steel) लगा होगा, यदि कुल इस्पात का \(\frac{1}{12}\) भाग बनाने में नष्ट हो गया है?
हल:
(i) … बेलनाकार टंकी का व्यास = 4.2 मीटर
∴ टंकी की त्रिज्या (r) = \(\frac{4.2}{2}\) = 2.1 मीटर
और टंकी की ऊँचाई (h) = 4.5 मीटर
अतः टंकी का पार्श्व या वक्र पृष्ठीय क्षेत्रफल = 2πrh
= 2 × \(\frac{22}{7}\) × 2.1 × 4.5 वर्ग मीटर
= 59.4 वर्ग मीटर।

(ii) टंकी के दोनों सिरों के पृष्ठों का क्षेत्रफल = 2πr2
= 2 × \(\frac{22}{7}\) × (2.1)2
= 2 × \(\frac{22}{7}\) × 2.1 × 2.1 = 27.72 वर्ग मीटर
∴ टंकी का सम्पूर्ण पृष्ठीय क्षेत्रफल = (59.4 + 27.72) वर्ग मीटर
= 87.12 वर्ग मीटर
माना टंकी को बनाने में वर्ग मीटर इस्पात लगा।
बनाने की क्रिया में नष्ट इस्पात = x का \(\frac{1}{12}\) = \(\frac{x}{12}\)
तब तैयार इस्पात का क्षेत्रफल = x – \(\frac{x}{12}=\frac{11 x}{12}\)
अतः \(\frac{11 x}{12}\) = 87.12
∴ x = \(\frac{87.12 \times 12}{11}\) = 95.04 वर्ग मीटर
अतः टंकी को बनाने में लगा इस्पात = 95.04 वर्ग मीटर

प्रश्न 10.
आकृति में, आप एक लैम्प शेड का फ्रेम देख रहे हैं। इसे एक सजावटी कपड़े से ढका जाना है। इस फ्रेम के आधार का व्यास 20 सेमी है और ऊंचाई 30 सेमी है। फ्रेम के ऊपर और नीचे मोड़ने के लिए दोनों और 2.5 सेमी अतिरिक्त कपड़ा भी छोड़ा जाना है। ज्ञात कीजिए कि लैम्प शेड को ढकने के लिए कुल कितने कपड़े की आवश्यकता होगी ?
JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2 2
हल:
… लैम्प शेड वृत्ताकार है
लैम्प शेड का व्यास (2r) = 20 सेमी
लैम्प शेड की त्रिज्या (r) = 10 सेमी
और लैम्प शेड की ऊँचाई = 30 सेमी
…. लैम्प शेड को सजाने में दोनों ओर 2.5 सेमी कपड़ा अतिरिक्त छोड़ा जाता है।
∴ अतिरिक्त कपड़े सहित कपड़े की ऊँचाई (h)
= (30 + 2.5 + 2.5) सेमी = 35 सेमी
आवश्यक कपड़े का क्षेत्रफल = 2πrh
= (2r) × π × h
= 20 × \(\frac{22}{7}\) × 35 सेमी2
= 2200 सेमी2
अतः आवश्यक कपड़ा = 2200 सेमी2

JAC Class 9 Maths Solutions Chapter 13 पृष्ठीय क्षेत्रफल एवं आयतन Ex 13.2

प्रश्न 11.
किसी विद्यालय के विद्यार्थियों से एक आधार वाले बेलनाकार कलमदानों के गत्ते से बनाने और सजाने की प्रतियोगिता में भाग लेने के लिए कहा गया। प्रत्येक कलमदान को 3 सेमी त्रिज्या और 10.5 सेमी ऊँचाई का होना था। विद्यालय को इसके लिए प्रतिभागियों को गत्ता देना था। यदि इसमें 35 प्रतिभागी थे, तो विद्यालय को कितना गत्ता खरीदना पड़ा होगा ?
हल:
कलमदान की त्रिज्या (r) = 3 सेमी
और कलमदान की ऊँचाई (h) = 10.5 सेमी
∴ कलमदान का चक्र पृष्ठीय क्षेत्रफल = 2πrh
= 2× \(\frac{22}{7}\) × 3 × 10.5
= 198 वर्ग सेमी
कलमदान के आधार का क्षेत्रफल = πr2
= \(\frac{22}{7}\) × 3 × 3 = \(\frac{198}{7}\) वर्ग सेमी
∴ कलमदान का कुल पृष्ठीय क्षेत्रफल
= \(\left(198+\frac{198}{7}\right)\) वर्ग सेमी
= \(\frac{1584}{7}\) वर्ग सेमी
…. 1 कलमदान के लिए आवश्यक गत्ते का क्षेत्रफल = \(\frac{1584}{7}\) वर्ग सेमी
∴ 35 कलमदान के लिए आवश्यक गत्ते का क्षेत्रफल = 35 × \(\frac{1584}{7}\) वर्ग सेमी
= 7920 वर्ग सेमी
अतः विद्यालय को 7920 वर्ग सेमी गत्ता खरीदना होगा।

JAC Class 9 English Reading Comprehension Unseen Passages

Jharkhand Board JAC Class 9 English Solutions Reading Comprehension Unseen Passages Questions and Answers.

JAC Board Class 9 English Reading Comprehension Unseen Passages

Unseen Passage के प्रश्नों का उत्तर लिखते समय ध्यान देने योग्य बातें –

  • Comprehension शब्द का अर्थ understanding या ‘समझना’ होता है । अतः passage को ध्यानपूर्वक पढ़कर समझना चाहिए ।
  • Passage में कुछ कठिन शब्दों के अर्थ स्पष्ट न होने पर घबराना नहीं चाहिए । जो शब्द समझ में आते हों उन्हीं के आधार पर गद्यांश का सही अर्थ समझने का प्रयत्न करना चाहिए ।
  • प्रश्न जिस Tense में पूछा जाए, उत्तर भी सदैव उसी Tense में दिया जाना चाहिए।
  • उत्तर में उतनी ही बात लिखनी चाहिए जितनी कि पूछी गई हो, उससे कम या अधिक नहीं ।
  • Passage में पूछे गये questions सामान्यतया निम्नलिखित Question-words से प्रारम्भ होते हैं, जिनके अर्थ तथा आशय निम्न प्रकार हैं –

JAC Class 9 English Reading Comprehension Unseen Passages 1

प्रश्न का patterr सामान्यत: निम्न प्रकार होता है –

Question-word . Helping Verb + Subject + Verb + ?
उत्तर Question-we d को छोड़कर Subject से प्रारम्भ करते हैं, फिर Helping Verb तथा फिर उत्तर के शेष भाग को लिखते हैं । जैसे –

Que. What is Ram doing?
Ans. Ram is playirg on the piano.

JAC Class 9 English Reading Comprehension Unseen Passages

विशेष :
(i) जिन प्रश्नों में Helping Verbs do, does, did का प्रयोग होता है, उनके उत्तरों में इन Helping Verbs का प्रयोग नहीं होता । does की स्थिति में क्रिया में s / es लगाते हैं, do की स्थिति में क्रिया का First Form ( बिना s / es ) रखते हैं तथा did की स्थिति में क्रिया का Second Form रखते हैं। जैसे –

Que. Where does Ragini live ?
Ans. She lives in Delhi. (….does….live = lives)

Que. How did you go to Mumbai?
Ans. I went to Mumbai by air. (….did….go = went)

(ii) यदि प्रश्न Negative में हो तो इन्हीं Helping Verbs (do, does, did) को उत्तर में लिखा जाता है । जैसे-

Que. What do you not take for breakfast?
Ans. I do not take tea for breakfast.

Que. Why didn’t you get up earlier ?
Ans. I didn’t get up earlier because I had gone to bed late.

(iii) Why से प्रारम्भ होने वाले प्रश्नों के उत्तरों में Connective के रूप में प्रायः because का प्रयोग किया जाता है। कुछ उत्तरों में Infinitive (to + Verb) का प्रयोग किया जाता है । जैसे –

Que. Why did Ram kill Ravan?
Ans. Ram killed Ravan because the latter had kidnapped the former’s wife, Sita.

Que. Why did you go to Agra?
Ans. I went to Agra to see the Taj Mahal.

(iv) जिन प्रश्नों के मध्य में there का प्रयोग किया जाता है, उनके उत्तर प्रायः There से ही प्रारम्भ होते हैं । जैसे

Que. How many members are there in your family?
Ans. There are three members in my family.

Que. How much milk was there in the pot?
Ans. There was a little milk in the pot.

JAC Class 9 English Reading Comprehension Unseen Passages

(v) आपको गद्यांश (passage) के मुख्य विचारों से ही अवगत होना है, यह आवश्यक नहीं कि पढ़ते समय प्रत्येक शब्द समझ में आ जाये।

(vi) प्रश्नों का उत्तर सटीक होना चाहिए । जहाँ तक हो अपने शब्दों तथा सरल वाक्यों में उत्तर देना अच्छा रहता है |

Unseen Passage

Read the passages given below and answer the questions that follow :

Passage 1.

One day the Giant came back. He had been to visit his friend, the Cornish Ogre, and had stayed with him for seven years. When he arrived he saw the children playing in the garden. “What are you doing here ?” he cried in a very gruff voice, and the children ran away. “My own garden is my own garden,” said the Giant; “anyone can understand that, and I will allow nobody to play in it but myself”. So he built a high wall all round it, and put up a notice-board :

Trespassers Will Be Prosecuted

He was a very selfish Giant.
The poor children had now nowhere to play. They tried to play on the road, but the road was very dusty and full of hard stones and they did not like it. They used to wander round the high walls when their lessons were over, and talk about the beautiful garden inside. “How happy we were there!” they said to each other.

Questions :
1. Who came back ?
2. How long did the Giant stay with his friend Cornish Ogre ?
3. What did the Giant find on his return?
4. What did the Giant do when he returned?
5. Why did the children run away?
6. What was written on the notice-board ?
7. What did the Giant not like ?
8. Why were the children sad?
9. Find out from the passage the words that are similar to :
(i) roam (ii) rough.
10. Make adverbs of the following words :
(i) high (ii) beautiful
Answers:
1. The Giant came back.
2. The Giant stayed with his friend Cornish Ogre for full seven years.
3. On his return the Giant found the children playing in his garden.
4. When the Giant returned, he built a high wall all around the garden.
5. The children ran away because the Giant had returned.
6. “Tresspassers will be prosecuted” was written on the notice board.
7. The Giant did not like the children to play his garden.
8. The children were sad because they could not play in the garden.
9. (i) wander (ii) gruff.
10. (i) highly, (ii) beautifully

Difficuit words : Cornish Ogre = कार्नवाल का एक राक्षस ।gruff = रूखी (आवाज) ।trespassers = अवैध प्रवेश करने वाले । will be prosecuted = दण्डित किए जायेंगे । dusty = धूल भरा । wander = घूमना।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 2.

In Naini, there lived a poor boy named Anil. He had polio, so he limped. He was a simple boy with a smiling face. All the villagers loved him a lot. There was a temple in the forest. There was a big brass bell. One day, a thief stole the bell. He took it to a cave nearby and hung it there. However, while he was returning, he was killed by a tiger.

One day a group of monkeys entered the cave. They started using the bell as a swing. In the process, the bell pealed loudly all day. The villagers wondered what the matter was. It was a mystery. The next morning, five of the villagers set out on the journey. When they reached the dense forest, they saw the skeleton of the thief and others who had been killed by the tiger. Considering this to be the work of a man-eating giant, they fled back to the village.

The village was filled with fear. Anil also heard about the man-eating giant. He was a brave boy. He decided to solve the mystery of the man-eating giant.

Questions :
1. Who was Anil ?
2. Where was the temple situated ?
3. What did the monkeys do ?
4. What did the villagers do to solve the mystery ?
5. Who lived near the cave ?
6. What did Anil decide ?
7. What did the villagers see when they reached the forest?
8. What did the thief do one day ?
9. Write down from the passage the words which mean the same as :
(i) started (ii) burglar
10. Bring out the meanings of the following words by making separate sentences from them :
(i) wonder (ii) mystery
Answers:
1. Anil was a poor.
2. The temple was situated in a forest.
3. The monkeys used the bell as a swing.
4. Five villagers went to the forest.
5. A group of monkeys lived on near the cave.
6. Anil decided to solve the mystery of the man eating giant.
7. They saw the skeleton of the thief and others.
8. One day the thief stole the big brass bell.
9. (i) set out (ii) thief
10. (i) wonder = want to know something – I wonder what the new teacher will be like.
(ii) mystery = the thing that you cannot explain – The cause of the accident is a mystery.

Difficult words : limped = लंगडा कर चलता था । a lot = बहुत सारा । smiling = मुस्कराते हुए । brass = पीतल । cave = गुफा। swing = झूला । pealed = rang continuously, निरन्तर बजता रहता था । mystery = रहस्य, भेद । set out = started, चल दिया । skeleton = कंकाल ।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 3.

Gandhi wanted to cut down his expenses on washing. One day, he came home with all the things needed to do his own washing and starching. He also bought a book on washing and read it carefully. Gandhi taught his wife Kasturba the art of washing.

The new hobby was an additional burden on Gandhi’s daily work, but he was not a man to give up. He was determined to cut down his expenses. He also wanted to be self-reliant.

One day, he washed a collar and starched it. Since he was not used to ironing, he used an iron that was not hot enough, and he did not press hard enough. He was afraid of burning the collar.

He went to the court wearing the collar. It was over-starched and stood stiff. His friends laughed quietly at this sight. Gandhi was not disturbed and said, “Well, this is my first attempt at washing, hence this overdose of starch. But it does not matter. At least it provided you with so much fun!”

Questions :
1. Why did Mahatma Gandhi start washing and ironing clothes with his own hands?
2. What did his fellow lawyers do to see his collar?
3. How did Gandhiji react to his fellow lawyers’ funny remark?
4. Why did Gandhiji buy a book on washing?
5. What did Gandhiji teach Kasturba?
6. What was an additional burden on Gandhiji’s daily work?
7. For what was Gandhiji determined ?
8. What made the collar stiff?
9. Write one word for ‘an activity that is done for pleasure when we are not working’.
10. Select words from the passage which mean opposite to the following words :
(i) carelessly (ii) advantage
Answers:
1. Mahatma Gandhi started washing and ironing his clothes with his own hands because he wanted to cut down his expenses on washing.
2. His fellow lawyers laughed to see Gandhiji wearing an overstarched and roughly ironed collar.
3. Gandhiji plainly said that it was his first attempt at washing.
4. Gandhiji bought a book on washing because he wanted to learn washing.
5. Gandhiji taught Kasturba the art of washing.
6. His new hobby was an additional burden on Gandhiji’s daily work.
7. Gandhiji was determined to cut down his expenses.
8. Over dose of starch made the collar stiff.
9. hobby
10. (i) carefully (ii) burden

Difficult words : collar = white neck band worn by lawyers, वकीलों द्वारा गले में पहिना जाने वाला कॉलर । used = (यहाँ) पहनते थे । expenses = money spent for a particular purpose, खर्चे । hobby = something that you do regularly for pleasure in your free time, शौक । determined = पक्का इरादा किया। self-reliant = able to do things for oneself, आत्मनिर्भर । used to ironing = आयरन करने के अभ्यासी । over-starched = ज्यादा कलफ लगा हुआ । stiff = firm and difficult to bend or move, सख्त, कड़ा और न झुकने या मुड़ने वाला । stood stiff = अकड़ा हुआ । quietly = silently, चुपचाप । disturbed = परेशान । hence = so, इसलिए । overdose of starch= आवश्यकता से ज्यादा कलफ लगना।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 4.

Once upon a time, Jhubbu, a stray dog, used to go into the stable where Appu, the king’s elephant lived. At first, Jhubbu went there to get the food that Appu didn’t finish. Day after day, Jhubbu went to the stable, looking for bits to eat. By and by, Appu and Jhubbu came to be close friends. Appu began to share his food with Jhubbu, and they always ate together. Neither was happy unless the other was nearby. Appu’s keeper did not like Jhubbu, and he thought it a good idea to sell him. So he sold it for a small amount of money to a farmer.

Appu missed Jhubbu and did not want to eat without his friend. The king was told about it. The king sent for his chief servant. The chief servant went to the stable and examined Appu. Then he went back to the king and said, “Appu is not sick, but he is lonely without his friend, Shubbu.”

The king bought back Jhubbu. Appu was so happy to see Jhubbu that he picked him up with his trunk and put him on his head. Then he put him down gently again.

Questions :
1. Who was Jhubbu ?
2. How did Jhubbu become friend of Appu, the king’s elephant?
3. What did the keeper do to get rid of Jhubbu ?
4. How did Appu react to Jhubbu’s absence?
5. How did Jhubbu come back ?
6. Who took Jhubbu away?
7. What did Appu do when he saw Jhubbu again?
8. What did the chief servant inform the king?
9. Find out from the passage words which mean the same as :
(i) lifted (ii) aloof
10. Rewrite the following sentence by changing it from direct to indirect:
The chief servant said to the king, “Appu is not sick.”
Answers:
1. Jhubbu was a stray dog.
2. Jhubbu régularly visited Appu’s stable for left over from Appu’s foods. The elephant and the dog played together and became friends.
3. The keeper sold the dog Jhubbu to get rid of the dog.
4. In the Jhubbu’s absence the elephant became sad and refused to take any food.
5. The king bought Jhubbu back.
6. A farmer took Jhubbu away.
7. When Appu saw Jhubbu, he became so happy that he picked him up with his trunk and put him on his head.
8. The chief servant informed the king that Appu was not sick but he was lonely without his friend.
9. (i) picked (ii) lonely
10. The chief servant told the king that Appu was not sick.

Difficult words : stray = homeless, जगली । stable = home or shelter for animals, जानवरों के रहने का स्थान । by and by = in a little time, धीरे-धीरे । came to be close friends = पक्के मित्र हो गए missed = अभाव खलता था । sent for = called, बुलाया । lonely = अकेला । picked him up with his trunk = अपनी सूँड़ से उठाया । put him on his head = seated him on his head, अपने सिर पर बिठाया।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 5

Jumman Sheikh and Algu Choudhary were good friends. Both were greatly respected in the village. Jumman had an old aunt who had some property. This she transferred to him on the understanding that she would stay with him and he would look after her. The arrangement worked well for a couple of years.

Then the situation changed. Jumman and his family were tired of the old relative. Jumman became as indifferent to her as his wife, who grudged even the little food that the old lady wanted every day. She swallowed these insults along with her food for a few months. But patience has its limits.

One day she spoke to Jumman, “My son, it is now obvious that I am not wanted in your house. Kindly give me a monthly allowance so that I can set up a separate kitchen.”

“My wife knows best how to run the house. Be patient,” said Jumman shamelessly. This made his aunt very angry and she decided to take her case to the village panchayat.

Questions :
1. Who were Jumman Sheikh and Algu Choudhary?
2. Who insulted the old aunt?
3. What had Jumman’s aunt have ?
4. Why did Jumman’s aunt transfer her property to him ?
5. Who were tired of the old aunt?
6. How was the behaviour of Jumman’s wife with the old aunt?
7. What did the old aunt speak to Jumman?
8. Under what circumstances Jumman’s aunt took her complaint to the village panchayat?
9. Make plurals of the following words :
(i) property
(ii) wife
10. Find out from the passage words similar in meaning to the following :
(i) insult (ii) aid
Answers:
1. Jumman Sheikh and Algu Choudhary were good friends who lived in the same village.
2. Jumman and his wife insulted the old aunt.
3. Jumman’s aunt had some property.
4. The old aunt transferred her property to Jumman on the understanding that she would stay. with him and he would look after her.
5. Jumman and his family were tired of the old aunt.
6. Jumman’s wife began to ill treat her. She grudged the two meals a day.
7. The old aunt spoke to Jumman to give her a monthly allowance to set up a seperate kitchen.
8. As Jumman and his family ill treated and insulted the aunt so she took her complaint to the village panchayat.
9. (i) properties (ii) wives.
10. (i) shame (ii) allowance

Difficult words : looked after = took care of, देखभाल करते थे । tired of = परेशान हो गये । became indifferent = did not care for, उदासीन हो गए । grudged = gave unwillingly, बेमन से देती थी । swallowed these insults = tolerated insults, अपमान सहन करती थी । patience = धर्य । obvious = clear, स्पष्ट I monthly allowance = मासिक भत्ता, प्रतिमाह कुछ रुपये ताकि काम चल सके । patient = धैर्यशाली, सहनशील ।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 6.

After the surgical operation, Kasturba was worse, too weak to sit up in bed, and had once become unconscious. The doctor knew that he might not, without my consent, give her wines or.meat. So he telephoned me at Johannesburg for permission to give her beef tea. I replied saying I could not grant the permission, but that, if she was in a condition to express her wish in the matter, she be consulted, and she was free to do as she liked. “But”, said the doctor, “I refuse to consult the patient’s wishes in the matter. You must come yourself. If you do not leave me free to prescribe whatever diet I like, I will not hold myself responsible for your wife’s life.”

When I met the doctor, he broke this news to me: “I had already given Mrs Gandhi beef tea when I telephoned you.”
“Now, Doctor, I call this a fraud,” said I.
“No question of fraud in prescribing medicine or diet for a patient. In fact we doctors consider it a virtue to deceive patients or their relatives, if thereby we can save our patients,” said the doctor with determination.

Questions :
1. Who was suffering ?
2. Whose wish was essential in Kasturba’s condition?
3. How was she cured ?
4. What can a doctor do to save his patient?
5. Why did Gandhiji not give consent?
6. What was the condition of Gandhiji’s wife after the operation?
7. What did the doctor inform Gandhiji from Durban ?
8. What was Gandhiji told by the doctor on reaching Durban?
9. Rewrite the following sentence by changing it from direct to indirect: “I refuse to consult the patient’s wishes,” said the doctor.
10. Write one word for ‘a person who is receiving medical treatment’.
Answers:
1. Gandhiji’s wife Kasturba was suffering.
2. Gandhiji’s wish was essential.
3. She was cured by beef tea.
4. A doctor can deceive patients or their relatives.
5. Gandhiji did not give consent because Kasturba was in a condition to express her wish and consent.
6. She became extremely weak.
7. The doctor from Durban informed Gandhiji that Kasturba’s condition had worsened and she needed a cup of beef-tea.
8. On reaching Durban, the doctor told Gandhiji that he had already given her a cup of beeftea.
9. The doctor said that he refused to consult the patient’s wishes.
10. patient.

Difficult words : prescribe = नुस्का लिखना । fraud = धोखा । deceive = धोखा देना। thereby = ऐसे कहर से ।

Passage 7.

Albert Einstein, one of the great men of modern science, was born on 14 March 1879, in Ulm, Germany. During his boyhood in Munich he was shy, sensitive and unhappy. His harsh teachers, whom he called “non-commissioned officers,” considered him stupid and tried to flog sense into him. When they realized that he knew more about mathematics than any of them would ever know, they disliked him even more. Albert was also made to suffer from German anti-Semitism, and he hated the militarism of the German empire to such an extent that he persuaded his father to promise him that he would never have to do compulsory military service.

In 1894 the family moved to Italy. Later Einstein received the degree of Doctor of Philosophy at the University of Zurich, in Switzerland, and taught mathematics and physics at the polytechnic school in Zurich. In 1921, Einstein was the recipient of the Nobel Prize. The work for which the famous scientist is best known is his – Theory of Relativity.

Comprehension Questions :
1. Who was Albert Einstein?
2. How was Einstein during his boyhood?
3. Why did the teachers at Munich school dislike him ?
4. How can you say that Einstein hated the militarism of the German empire ?
5. From where did Einstein receive the degree of Doctor of Philosophy?
6. What did Einstein call his teachers?
7. Which subjects did Einstein teach at polytechnic school in Zurich ?
8. For which work is Einstein best known ?
9. Find out words from the passage which mean the same as :
(i) sad (ii) made agree
10. Find out the opposite of the following words from the passage :
(i) worst (ii) loved
Answers:
1. Albert Einstein was one of the greatest scientists.
2. During his boyhood he was shy, sensitive and unhappy.
3. The teachers at Munich school thought him stupid. But when they realized that he knew more about mathematics than any one of them, they disliked him even more.
4. He hated the militarism of the German empire so much that he persuaded his father to promise him that he would never have to do compulsory military service.
5. He received the degree of Doctor of Philosophy at the university of Zurich in Switzerland.
6. Einstein called his teachers Non-commissioned officer.
7. He taught mathematics and physics at the polytechnic school in Zurich.
8. He is best known for his Theory of Relativity.
9. (i) unhappy
(ii) persuaded
10. (i) best
(ii) hated

Difficult words : shy = शर्मीला। sensitive = जरा-जरा सी बातों को अधिक महसूस करने वाला। harsh = unkind, कठोर । non-commisioned officer = a soldier in the army who has a rank such as Sergeant or Corporal, but not a high rank, (यहाँ) छोटे लोग। stupid = मूर्ख। flog sense into him = जबरदस्ती उसके अन्दर बुद्धि ठूसना चाहते थे। German anti-Semitism = जर्मन लोगों का यहूदियों के खिलाफ पूर्वाग्रह । German Empire = जर्मन साम्राज्य । persuaded his father = made his father agree, = अपने पिता को राजी कर लिया।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 8.

Angered by the rigid attitude of the British, the Congress decided to start a Non-Cooperation Movement under the leadership of Gandhiji. The movement aimed at protesting against British repression in Punjab. It was also for the attainment of ‘Swaraj’: The movement was to be launched in stages. It started with the giving up of honorary titles received by the Indians from the British government.

Gandhiji gave up the title of ‘Kaiseri-Hind’. This was followed by boycott of schools, colleges, legislatures, law courts and elections to the legislatures. Educational institutions like the Jamia Milia at Aligarh (later shifted to Delhi) and Kashi Vidyapeeth at Benaras were started by nationalist leaders. Foreign clothes were burned and strikes and hartals were organized. Indians were asked not to pay taxes, not to work for the British and not to cooperate with the government.

Along with boycott and non-cooperation, a constructive programme was also launched. It included the popularization of the charkha and khadi, promotion of Hindu-Muslim unity, abolition of untouchability and the spread of education. Emphasis on these popular issues made the movement a mass movement.

Questions :
1. Why did the Congress decide to start non-co-operation movement?
2. How was the movement to be launched?
3. How did the movement start ?
4. What was included in the constructive programmes of the movement?
5. What made the movement a mass movement?
6. What did Gandhiji give up?
7. Who was the leader of non-cooperation movement?
8. What were Indians asked?
9. Use the modal ‘could’ in your own sentence.
10. Write noun forms of the following words :
(i) educate (ii) move
Answers:
1. The Congress started the non-cooperation movement to protest against British repression in Púnjab.
2. The movement was to be lauched in stages.
3. The movement started with giving up honorary titles given to Indians.
4. In included Popularization of charkha and khadi, promotion of Hindu-Muslim unity, abolition of untouchability and spread of education.
5. Emphasis on the popular issues made the movement a mass movement.
6. Gandjiji gave up the title of ‘Kaiseri Hind’.
7. Gandhiji was the leader of non-cooperation movement.
8. Indians were asked not to pay taxes, not to work for the British and not to coopperate with the government.
9. I could speak Enghish when I was five years old.
10. (i) education
(ii) movement

Difficult words : angered = being angry, क्रुद्ध ( नाराज)। attitude = प्रवृति। leadership = नेतअ्अत्व। British repression = अंग्रेजों का अत्याचार । protest = रोश। attainment = प्राप्ति। Swaraj = self government, स्वराज्य । was to be launched = लागू करना था । in stages = step by step, विभिन्न चरणों में । gave up = त्याग दिया। popularization = लोकप्रिय बनाना। constructive = रचनात्मक। mass movement = आम जनता का आन्दोलन।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 9.

Vegetable oil has been known from antiquity. No household can get on without it, for it is used in cooking. Perfumes may be made from the oils of certain flowers. Soaps are made from vegetable and animal oils.

To the ordinary man, one kind of oil may be as important as another. But when the politician or the engineer refers to oil, he almost always means mineral oil, the oil that drives tanks, aeroplanes and warships, motorcars etc. This is the oil that has changed the life of the common man. When it is refined into petrol, it is used to run engines.

To it we owe the existence of the motorcar, which has replaced the private carriage drawn by horse. To it we owe the possibility of flying. It has changed the method of warfare on land and sea. This kind of oil comes out of the earth. It is used as fuel, and in some ways it is superior to coal in this respect. Many big ships now burn oil instead of coal. Because it burns brightly, it is used for illumination. Because it is very slippery, it is used for lubrication.

Questions :
1. What are the main uses of vegetable oil?
2. Which oil does the politician or the engineer refer to?
3. What are driven by the mineral oils ?
4. What has changed the life of the common man ?
5. Which types of oils are used to make soaps?
6. How petrol is used?
7. What has changed the method of warfare on land and sea?
8. What kind of oil comes out of the earth?
9. Find words from the passage which mean the following :
(i) from ancient time (ii) personal
10. Use the modal ‘may’ in your own sentence.
Answers:
1. The vegetable oil is used in cooking, in making perfumes and in making soaps.
2. The politician or engineer refers to mineral oil.
3. Tanks, aeroplanes, warships, motor cars, etc. are driven by mineral oil.
4. Mineral oil has changed the life of the common man.
5. Vegetable and animal oils are used to make soaps.
6. Petrol is used in running cars, machines, generators and in flying aeroplanes.
7. Mineral oil has changed the method of warfare on land and sea.
8. Mineral oil comes out of the earth.
9. (i) antiquity
(ii) private
10. May I come in, Sir ?

Difficult words : antiquity = from ancient time, प्राचीन काल से। get on = proceed, आगे बढ़ सकता है, चल सकता है। vegetable oil = वनस्पति से प्राप्त तेल। animal oil = जानवरों से प्राप्त तेल। mineral oil = जमीन से निकलने वाला तेल जिसे पेट्रोलियम कहते हैं। superior to coal = कोयले से अधिक बेहतर है।

Passage 10.

It was a cold night in September. The rain was drumming on the car roof as George and Marie drove through the empty country road towards the house of their friends, the Harrisons, where they were going to attend a party to celebrate the engagement of the Harrisons’ daughter, Lisa. As they drove, they listened to the local radio station which was playing classical music. They were about five miles from their destination when the music on the radio was interrupted by a new announcement :

“The Cheshire police have issued a serious warning after a man escaped from Colford Mental Hospital earlier this evening. The man, Jobn Downey, is a murderer who killed six people before he was captured two years ago. He is described as large, very strong and extremely dangerous. People in the Cheshire area are warned to keep their doors and windows locked and to call the police immediately if they see anyone acting strangely.” Marie shivered, “A crazy killer and he is out there somewhere. That’s scary.”

Questions :
1. How was the weather that night ?
2. Where were George and Marie going ?
3. As George and Marie drove, what were they listening ?
4. What was the news announcement on the radio about?
5. Where were they when the music of the radio was interrupted?
6. What was the name of the criminal?
7. How many murders had the criminal done?
8. Which area was under risk ?
9. Find words from the passage which mean the following :
(i) vacant (ii) traditional
10. Write plurals of the following :
(i) country (ii) roof
Answers:
1. It was cold.
2. They were going to the house of their friends the Harrisons.
3. They were listening to the local radio station which was playing classical music.
4. The announcement on the radio was that crazy killer had escaped from Colford Mental Hospital and people were advised to keep their doors and windows locked.
5. When the music of the radio was interrupted they were about five miles from their destination.
6. His name was Jobn Dawney.
7. The criminal had done six murders.
8. The Cheshire area was under risk.
9. (i) empty (ii) classical
10. (i) countries (ii) roofs

JAC Class 9 English Reading Comprehension Unseen Passages

Difficult words : was drumming on the car roof = कार की छत पर गिरती हुई वर्षा जैसी आवाज कर रही थी यानी ड्रम बजा रही हो। engagement ceremony = सगाई की रस्म। destination = मंजिल। crazy = mad, पागल। had escaped = had run away, भाग निकला। very large = विशालकाय । extremely dangerous = very fearful, अत्यधिक भयंकर।

Passage 11.

Whenever anyone visits Puri, a peaceful coastal city, the peace-loving nature of Puri impresses him deeply. So many tourists have found this place suitable to settle and enjoy the rest part of life there. The centre of life in Puri is the temple of Lord Jagannath, built in the 12th century. It is

one of the four dhams-sacred places of pilgrimage for the Hindus. Here Jagannath means Lord Krishna. The innermost part of the temple has wooden images of the Lord, his sister Subhadra and brother Balram.

The most spectacular function of the temple is the annual Rath Yatra. The three gods are taken out in separate chariots to Gundicha Mandir in a procession. At this time more than 5 lakh pilgrims gather at Puri. Devotees regard it as an honour helping to pull the chariot ropes. More than 6000 men work at the main temple, as priests, guides, wardens etc.

Besides the temple there is another attraction also for the visitor. It is the sea-beach. There is a vast, lovely expanse of golden sands. This beach is ideal for surf-riding, but many a time it.can also be rough.

Questions :
1. Which thing impresses anyone visiting Puri ?
2. Where is Lord Jagannath’s temple located?
3. When was the temple of Lord Jagannath built?
4. What is there in the innermost part of the temple?
5. Who are taken out in a procession and how ?
6. What is the significance of the temple for the Hindus ?
7. How many pilgrims gather at the time of Rath Yatra ?
8. How is sea-beach at Puri enjoyable ?
9. Pick out the words from the passage opposite to : (i) ‘disappear’ (ii) ‘disperse’.
10. Make noun forms of the following words : (i) means (ii) gather
Answers:
1. The peace loving nature of Puri impresses any one who visits there.
2. Lord Jagannath’s temple is located at Puri.
3 . It was built in the 12th century.
4. The innermost part of the temple has wooden images of the Lord, his sister Subhadra and brother Balram.
5. The three gods are taken out in separate chariots in a procession.
6. The significance of the temple for the Hindus is that it is one of the four dhams-sacred places of pilgrimage for the Hindus.
7. More than 5 lakh pilgrims gather at the time of Rath Yatra.
8. The sea-beach at Puri is full of golden sand. So it is enjoyable.
9. (i) appear (ii) gather.
10. (i) meaning (ii) gathering

Difficult words : wooden = made of wood, लकड़ी से बनी हुई। images = मूर्तियाँ। are taken out in processive = जुलूस के रूप में निकाला जाता है। sacred = pious, पवित्र। be rough (idiom) = अप्रिय, अशुभ।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 12.

Punctuality is a necessary habit in all public affairs of a civilized society. Without it nothing could ever be brought to a conclusion, everything would be in a state of chaos. Only in a sparsely populated rural community it is possible to disregard it. In ordinary living, there can be some tolerance of unpunctuality. The intellectual, who is working on some difficult problem, has everything coordinated and organized for the matter in hand.

He is, therefore, forgiven if late for the dinner party. The guest who arrives half an hour too soon is the greatest nuisance. Some friends of my family had this irritating habit. The only thing to do was to ask them to come half an hour later than the other guests. Then they arrived just when we wanted them. If you are catching a train, it is always better to be comfortably early than even a fraction of minute too late. Although being early may mean wasting a little time, this will be less than if you miss the train and have to wait an hour or so for the next one.

Questions :
1. Why is punctuality necessary in a civilized society?
2. Who can disregard punctuality?
3. What sort of guests are forgiven for unpunctuality?
4. What is puncuality?
5. What is called an irritating habit?
6. What does an early man waste?
7. Who is the greatest nuisance ?
8. Why is it better to wait on the platform before the train arrives ?
9. Find words in the passage which convey the similar meaning to the following :
(i) thinly scattered (ii) cultured
10. Write adjective forms of the following words :
(i) punctuality (ii) comfortably
Answers:
1. In a civilized society many people are involved in one matter. If one is late all the participants are disturbed and things to out of order.
2. People living in a sparsely populated rural areas can disregard punctuality.
3. The intellectual, who is working on some difficult problem, has everything coordinated and organized for the matter in hand. He may be forgiven for unpunctuality.
4. Punctuality is a necessary habit in all affairs of a civilized society.
5. Arriving half an hour too soon is an irritating habit.
6. An early man wastes a little time.
7. The greatest nusaince is the guest who arrives half an hour too soon.
8. It is better to wait for the train on the platform because if we arrive just on time we may miss train.
9. (i) sparsely (ii) civilized
10. (i) punctual (ii) comfortable

Difficult words : punctuality = समय की पाबन्दी। civilized = cultured, सभ्य। chaos = out of order, बिखरी हुई। sparsely populated = बिखरी हुई आबादी, जहाँ आबादी कहीं-कहीं हो । disregard = अवहेलना करना। tolerance = सहनशीलता । coordinate = मिल-जुल कर काम करना। in hand = under control, नियंत्रण में। (is) forgiven = excused, क्षमा कर दिया जाता है। nuisance = परेशानी का साधन। irritating = troublesome, परेशानी युक्त। habit of punctuality = समय की पाबन्दी।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 13.

One day a tailor makes a beautiful coat for himself. He wears the coat proudly all over town. When he realizes that the coat is getting old and worn, he makes it into a fine jacket. He wears his jacket proudly all over town. But one day the tailor realizes that his jacket too is getting old and worn. He decides to make it into a vest. So he makes himself a beautiful vest. He wears the vest proudly all over town. Every time he wears it, it reminds him of his coat and his jacket.

However as time passes he realizes the vest, too, is getting old and worn. The creative tailor makes a hat. Again he wears the hat proudly all over town. In time the hat too gets old and worn. Now the tailor is really sad, but being the resourceful person, once more he returns to his shop. He makes a button, but it is not just a button. It is a whole lot more. Whenever he looks at the button, he sees the hat, the vest, the jacket and the coat and he thinks of all the wonderful memories of that special gift he gave himself so long ago.

Questions :
1. What does the tailor make for himself?
2. Why does the tailor decide to make jacket?
3. How does the tailor make a jacket?
4. Why does the tailor decide to make a vest from his jacket?
5. What reminds the tailor of his coat and jacket?
6. With which material does the tailor make his hat?
7. How can you say that the tailor was ‘creative and resourceful’?
8. Why is the ‘button’ not ‘just a button’ for the tailor ?
9. Find words from the passage which mean the following :
(i) artistic (ii) unusual
10. Make singular form of the following words :
(i) passes (ii) memories
Answers:
1. The tailor makes a coat for himself.
2. The tailor decides to make jacket because the coat is getting old and worn.
3. He makes a jacket from his old coat.
4. The tailor makes a vest from his jacket because he realizes that the jacket is getting old and worn.
5. His beautiful vest reminds him of his coat and his jacket.
6. With the material of the vest, the tailor makes his hat.
7. The tailor was creative and resourceful because he maintained his love for the coat by changing it into a jacket, a vest, a hat and ultimately into a button.
8. The button contains the memory of a coat, a jacket, a vest and a hat. He sees these things in the button.
9. (i) creative (ii) special
10. (i) pass (ii) memory.

Difficult words : proudly = गर्व के साथ। worn = घिसा-पिटा । jacket = a small coat, छोटा-सा कोट। realizes = समझता है, महसूस करता है। vest = a sleevless under-coat wear, बिना आस्तीन के कोट के नीचे पहने जाने वाली जाकेट। resourceful = fertile, clever, होशियार। so long ago = भूतकाल में।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 14.

A stamp is, to many people, just a slip of paper that takes a letter from one town or country to another. They are unable to understand why we stamp collectors find so much pleasure in collecting them and how we find the time in which to indulge in our hobby. To them it seems a waste of time, a waste of effort and a waste of money. But they do not realise that there are many who do buy stamps, many who find the effort worth-while and many who, if they did not spend their time collecting stamps, would spend it less profitably.

We all seek something to do in our leisure hours, and what better occupation is there to keep us out of mischief than that of collecting stamps? Stamp-collecting has no limits and a collection never has an end; countries are always printing and issuing new stamps to celebrate coronations, great events, anniversaries and deaths.

Questions :
1. What is a stamp for many people ?
2. What is the opinion of some people about the habit of collecting the stamps ?
3. How is it that stamp-collecting has no limits ?
4. In what way is it true that there is a history in every stamp?
5. What is called a hobby?
6. Why are new stamps printed?
7. What is primary use of a stamp?
8. Why do people adopt some hobby?
9. Find words from the passage which mean the following :
(i) free time (ii) profession
10. Use ‘stamp’ as a verb and as a noun in your own sentences.
Answers:
1. For many people, a stamp is just a slip of a paper that takes a letter from one town or country to another.
2. Some people think that this habit of stamp collecting is a waste of time, a waste of effort and a waste of money.
3. Stamp collecting has no limits because countries issue new stamps to celebrate coronations, great events, anniversaries and deaths.
4. Every stamp remindes us of the important event/person on which it was issued. It brings back to our mind the history attached to it.
5. Stamp collecting is called a hobby.
6. New stamps are printed to celebrate coronations, great events, anniversaries and deaths.
7. A stamp takes a letter from one town or country to another.
8. People adopt hobby because it keeps them out of mischief.
9. (i) leisure
(ii) occupation
10. Stamp (Noun) : His hobby is collecting stamps.
Stamp (Verb) : She stamped her foot in anger

Diffieult words : stamp = डाक का टिकट । stamp collectors = टिकटों का संग्रह करने वाले व्यक्ति। indulge = to be busy, व्यस्त हो जाना। hobby = चाहत या खुशी देने वाला कार्य। effort = प्रयांस। realize = understand, समझना। coronations = ताज पोशी। anniversaries = वर्षगाठें।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 15.

Now that the mammoth is extinct, the elephant is the largest of all animals living, and the strongest. It is a strange-looking animal, with its thick legs, huge sides and back, large hanging ears, small tail, little eyes, long white tusks, and, above all, its long nose, called the trunk. The trunk is the elephant’s peculiar feature and it puts it to various uses. It draws up water by its trunk and can squirt it all over its body like a shower bath; and with it, it picks leaves from the trees and puts them into its mouth.

Elephants are found in India and Africa. The African elephant differs in some points from the Indian, being larger, with longer tusks and bigger ears. In fact the two are considered to be different species. In both countries, they live in herds in the jungles and are naturally shy animals that keep away from men.

The elephant is a very intelligent animal, and its intelligence combined with its great strength, makes it, when tamed, a very useful servant to man; as it has been trained to serve in various ways.

Elephants can carry heavy loads about eight thousand kilograms; and they are used to draw heavy wagons and big guns that would require many horses. They are very skilful, too, in piling timber.

Questions :
1. Why is the elephant ‘a strange looking animal’?
2. What is the elephant’s trunk?
3. What are the functions an elephant can do with its trunk?
4. In which thing are elephants skilful?
5. Name the countries where elephants are found.
6. For what are elephants used?
7. How much load can an elephant carry?
8. Elephant is the largest animal but some body parts are small. What are they?
9. Bring out the meaning of the following words by making separate sentences from them : (i) intelligent (ii) extinct
10. Find words from the passage which are opposite to the following words :
(i) down (ii) master
Answers:
1. Elephant is a strange looking animal due to its legs, huge sides and backs, fan-like ears, white sharp tusks, small eyes and a long trunk.
2. The elephant’s trunk in fact is its nose.
3. With it, it can suck up water and pour out water like a shower, it can pick up leaves and put them into its mouth.
4. Elephants are very skilful in piling timber.
5. Elephants are found in India and Africa.
6. Elephants are used to draw heavy wagons and big guns.
7. An elephant can carry heavy loads about eight thousand kilograms.
8. They are eyes and tail.
9. (i) Ram is an intelligent boy. (ii) Servants are now almost extinct in modern society.
10. (i) up (ii) servant

Difficult words : mammoth= a huge animal of the elephant species, हाथी जैसा विशालकाय जानवर। is extinct= समाप्त हो गया है। largest= biggest, सबसे बड़ा। peculiar= विचित्र। tusk = हाथी के दाँत। squirt = बल के साथ छिड़क सकता है। clumsy = rough and dull, भद्दे तथा आलसी। skilful = होशियार। in piling= ढेर लगाना।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 16.

Yes, it is true there were great cricketers before the Jam Sahib (the great Indian cricketer, Kumarshree Ranjit Singhji, better known to the world of cricket as Ranji). And yet it can be said without any doubt that as a batsman this Indian will live as the supreme exponent of the Englishman’s game. This claim is not based simply on his achievements although, judged by them the claim could be sustained.

His season’s average of 87 into a total of over 3,000 runs, is easily the high-water mark of English cricket. Three times he has scored over 3,000 runs and no other batsman has equalled that record. Besides, he also has the astonishing achievement of scoring two double centuries in a single match on a single day-not against a weak bowling attack but against Yorkshire, always the most determined and resourceful of bowling teams. But wee do not judge a cricketer so much by the runs he gets as by the way he gets them. There are players who get many runs but with much dullness.

Questions :
1. Who is the Jam Sahib ?
2. Which game is called as the Englishman’s game ?
3. How many times did Ranji score over 3,000 runs?
4. What does he have as the astonishing achievement?
5. What is the right way of judging a batsman’s work?
6. Who is a great example of a true sportman?
7. What is said about many players?
8. What is the average of Ranji in making runs?
9. Find words from the passage which mean similar to the following :
(i) suspicion (ii) very surprising
10. Find the antonyms of the following words : (i) worse (ii) less
Answers:
1. The Jam Sahib is the great Indian cricketer. As a batsman he is the supreme exponent of the English man’s game. He is known as Ranji.
2. Cricket is called the Englishman’s game.
3. Ranji scored 3000 runs three times.
4. He has the astonishing achievement of scoring two double centuries in a single match on a single day.
5. The right way of judging a batsman’s work is not by the runs he scores but the way he scores them.
6. The Jam Sahib is a great example of a true sportman.
7. There are many players who get many runs but with much dullness.
8. It is 87 runs.
9. (i) doubt (ii) astonishing
10. (i) better (ii) much

Difficult words : has equalled = उसके बराबर आ पाया है। three times = तीन बार। supreme = the highest, सर्वोच्च। record = रिकार्ड। astonishing = surprising, आश्चर्यचकित करने वाला। determined = very strong, बहुत मजबूत। popularity = लोकप्रियता। adventure = साहसी कार्य। by the way he gets them = उस कौशल से जिस के प्रयोग से उसने रन बनाये हैं। dullness = अरोचकता से। mere =only, केवल।

Passage 17.

In every country people think that they are the best and the cleverest and the others are not so good as they are. The Englishman thinks that he and his country are the best; the Frenchman is very proud of France and everything French. The German and Italians think no less of their countries and many Indians imagine that India is in many ways the greatest country of the world.

Everybody wants to think well of himself and his country. But really, there is no person in this world who has not got some good and some bad qualities. In the same way, there is no country which is totally good and none who is free of all deficiencies.

We must take the good wherever we find it and try to remove the bad wherever it may be. In the modern times too, we as a nation are getting much appreciation for our sustained economic growth and robust democratic institutions. However there is a lot that can be improved in our country. We have to remove those areas of darkness-poverty, illiteracy which still hover over a large section of our population.

Questions :
1. What do people think in every country ?
2. What do Germans and Italians think?
3. What do Indians imagine about their country?
4. What does everybody want to think ?
5. Is it possible to imagine a person who has not got any good qualities at all ? Explain.
6. What are we getting in the modern times ?
7. What can we do to make our country still better ?
8. What does the Frenchman think about their country?
9. Find out the suitable words from the passage which mean similar to the following:
(i) short-comings (ii) self-governing
10. Write the positive degrees of the following words :
(i) best (ii) cleverest
Answers:
1. In every country people think that they are the best and the cleverest and others are not so good.
2. The Germans and Italians think no less of their country.
3. Indians imagine that India is in many ways the greatest country of the world.
4. Everybody wants to think well of himself and his country.
5. No, it is not possible to imagin that a person has not got any good qualities. Definitely he has some good and some bad qualities.
6. We are getting much appreciation for our sustained economic growth and robust democratic institutions.
7. To make our country still better, we have still to do a lot to remove poverty, illiteracy.
8. The Frenchman is very proud of France and everything French.
9. (i) deficiencies (ii) democratic
10. (i) good (ii) clever

Difficult words : deficiencies = short comings, कमियाँ। appreciation = praise, प्रशंसा। sustained = मौजूदा, जो आज भी कायम है। robust = strong and healthy, स्वस्थ्य। illiteracy = निरक्षरता।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 18.

Today there is a lot of talk about the environment. All nations are coming to an agreement to save earth. Like we pollute the earth, we pollute the water; we also pollute the subtle environment through our negative feelings and emotions. We have become a victim of our environment. We are not in control of our mind. We hear a lot about other things in life but we spend very little time to hear about ourselves. How to handle our mind? How to be in the present moment? How to be happy and grateful? This we have not learnt. This is the most unfortunate thing. Then what is the solution? This is where we miss a very fundamental principle that governs our environment, our mind and our life in general.

Our body has the capacity to sustain much longer the vibration of bliss and peace than it does negative emotions because positivity is in the centre of our existence. Through the help of the breath we can easily get over our negative emotions in a short period of time. Through meditation and certain breathing techniques, we can clear this negative cloud.

Questions :
1. What are all nations thinking about?
2. How do we pollute our environment?
3. What have we become?
4. For what do we spend little time?
5. What is the most unfortunate thing?
6. What is the centre core of our existence?
7. What can our body sustain much?
8. How can we get over our negative emotions?
9. Find out words from the passage which mean the same as the following: (i) prey (ii) indebted
10. Make verb forms of the following words: (i) vibration (ii) agreement
Answers:
1. All nations are thinking about an agreement to save earth.
2. We, in fact, pollute our environment through our negative feelings and emotions.
3. We have become a victim of our environment.
4. We spend very little time to hear about ourselves.
5. The most unfortunate thing is that we have not learnt to be happy and grateful.
6. The central core of our existence is the positivity.
7. Our body can sustain much longer the vibration of bliss and peace.
8. We can get over our negative emotions by deep breathing.
9. (i) victim (ii) grateful
10. (i) vibrate (ii) agree

Difficult words : environment = earthly environment which consists, पृथ्वी के चारों ओर पानी, हवा और वनस्पति से बना वातावरण। (ii) हमारे मस्तिष्क की positivity तथा negativity और भावनाओं से बना हमारे जीवन का वातावरण। victim = prey, शिकार। handle our mind = control our thinking, अपने विचारों पर नियन्त्रण रखते हैं । grateful = दूसरों के प्रति कृतज्ञ होना। fundamental = basic, आधारभूत। principle = सिद्धान्त। sustain= शरीर के अन्दर बनाये रखना। vibrations= thrill, लहरें। bliss= खुशी । peace = शान्ति।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 19

The oldest stone buildings in the world are the pyramids of Egypt. They have stood for nearly 5000 years, and it seems likely that they will continue to stand for thousands of years yet. They are over eighty scattered along the bank of the Nile, some of which are different in shape from the true pyramids. The most famous of these are the “Step pyramid” and the “Bent pyramid”.

Some of the pyramids still look fresh as they must have been when they were built thousands of years ago. Most of the damage suffered by the others has been at the hands of men who were looking for treasure or more often, for stone to use in modern buildings. The dry climate of Egypt has helped to preserve the pyramids and their very shape has made them less likely to fall into ruins. These are good reasons why they can still be seen today, but perhaps the most important is that they were planned to last forever.

There must have been months of careful planning before they could begin to build. The first thing they had to do was to choose a suitable place as a pyramid could not be built just anywhere. Certain rules had to be followed strictly and certain problems overcome.

Questions :
1. Why are the pyramids described as the oldest buildings in the world?
2. Who caused the maximum damage to pyramids and why?
3. What helped the pyramids to stand for thousands of years?
4. How many pyramids are there?
5. What saves the pyramids to get ruin?
6. Name the most famous of these pyramids.
7. How do some of the pyramids look?
8. What is most important reason about pyramids that they can still be seen today?
9. Find words from the passage which mean similar to the following :
(i) spread (ii) to protect
10. Form the superlative degrees of the following words : (i) more (ii) good
Answers:
1. Pyramids are described as the oldest buildings in the world because they have stood for nearly 5000 years.
2. The men who were looking for treasure or more often for stone to use in modern buildings caused the maximum damage to pyramids.
3. The dry climate of Egypt helped the pyramids to stand for thousands of years.
4. There are over eighty pyramids.
5. The shape of the pyramids saves them to get ruin.
6. They are ‘Step pyramid’ and ‘Bent pyramid”.
7. Some of the pyramids still look fresh.
8. It is that they were planned to last forever.
9. (i) scatter (ii) to preserve.
10. (i) most (ii) best.

Difficult words : scatter = spread, फैलना। damage= क्षति। helped= मदद की। to preserve= to protect, संरक्षण करना। ruins = ढ़र । were planned to last forever = (उनको) बहुत दिनों तक बनाए रखने की योजना बनाई गई थी।

Passage 20.

Ras Bihari Bose was one of the greatest freedom fighters from Bengal. He was a clerk the Forest Research Department, Dehradun. He joined the forefront of the Indian Freed Movement in 1911. He was prepared to take any risk for the freedom of the motherland. him India’s independence was essential because it was necessary for the regeneration of t whole world. He was responsible for the introduction of the revolutionary movement fr Bengal to Northern India. He was a strong supporter of open revolt against the British. He w charged in India with a case of conspiracy.

A reward was declared for his arrest. He, therefo: left India and reached Singapore, from where he headed to Tokyo to mobilise support for t Indian freedom struggle. He delivered a fiery speech in Tokyo against Britain. The Japane government passed an Extradition order which later on became ineffective as he could not traced. Later on, he came out of concealment. He got married to Toshiko, a Japanese citize In Japan he founded the Indian Independence League.

Questions :
1. Who was Ras Bihari Bose?
2. Where was Ras Bihari Bose posted ?
3. What was he prepared for ?
4. Why did he leave India?
5. What important work did he do for the revolutionary movement of India ?
6. Why did the Japanese goverment pass an Extradition order ?
7. To whom did he get married?
8. When did he join Indian Freedom Movement?
9. Locate the words in the passage that mean the following : (i) disguise (ii) established.
10. Form the comparative degrees of the following words : (i) greatest (ii) strong
Answers:
1. He was one of the greatest freedom fighters from Bengal.
2. Ras Bihari Bose was posted as a clerk in the Forest Research Department, Dehradun.
3. He was prepared for taking any risk for the freedom of the motherland.
4. He left India because he was charged in India with a case of conspiracy and a reward was declared for his arrest.
5. He introduced the revolutionary movement from Bengal to Northern India.
6. The Japanese government passed an Extradition order because he had delivered a fiery speech in Tokyo against Britain.
7. He got married to Toshiko, a Japanese citizen.
8. He joined Indian Freedom Movement in 1911.
9. (i) concealment (ii) founded
10. (i) greater (ii) stronger

Difficult words : conspiracy = षड़यंत्र |mobilise = संचालित करना । extradition = समर्पण, प्रत्यार्पण । concealment = छुपने का स्थान । forefront = सबसे आगे | regeneration = पुनर्जन्म | revolutionary = क्रान्तिकारी । revolt = विद्रोह । charged = उत्तरदायी ठहराया । struggle = संघर्ष । ineffective = अप्रभावी । traced = खोज पाया । founded = स्थापित की । fiery = जोशीला ।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 21.

Sardar Vallabhbhai Patel started his movement in Bardoli in 1928. This movement earned Patel the title of Sardar or Leader. Gandhiji had planned to make Bardoli the centre of his noncooperation movement in its first phase, but after Chauri- Chaura incident he dropped this idea. Bardoli soon became the target of the British Government’s displeasure. So, revenue was raised by 22 %. Cultivators were compelled to protest but the Government remained unmoved.

The delegations, therefore, met Vallabhbhai who studied the situation carefully and then spoke to Gandhiji. He told him that it was necessary to fight against the authorities for the cause of the farmers. Gandhiji gave his nod and Vallabhbhai in his own way, persuading the people to sacrifice everything, organized a farmers’ movement. It was a non-cooperation movement, fully non-violent and disciplined.

The Government cracked down on the agitators but they fearlessly continued their struggle under the leadership of Vallabhbhai. At last, the government had to draw up a compromise and meet all the demands of the farmers of the Bardoli Taluka

Questions :

1. When did Patel earn the title of Sardar?
2. What had Gandhiji planned for Bardoli ?
3. When did Gandhiji drop the idea of the first phase of his movement?
4. How did the government show displeasure?
5. Why did the delegations meet Vallabhbhai ?
6. What did Patel say to Gandhiji ?
7. How did Patel persuade the people to do ?
8. Of what kind was the movement started by Patel ?
9. Locate the words in the passage that mean the following :
(i) forced (ii) protesters
10. Make the singular forms of the following words :
(i) authorities (ii) cruelties
Answers:
1. Sardar Vallabhbhai Patel started his movement in Bardoli in 1928. This movement earned Patel the title of Sardar or leader.
2. Gandhiji had planned to make Bardoli the centre of his non-cooperation movement in its first phase.
3. After Chauri-Chaura incident, Gandhiji dropped the idea of the first phase of his movement.
4. The Government showed displeasure by raising revenue by 22% at Bardoli Taluka.
5. The delegations met Vallabhbhai to help them in the movement against the Government.
6. He told Gandhiji that it was necessary to fight against the authorities for the cause of the farmers.
7. Patel persuaded the people to sacrifice everything in their struggle of the cause.
8. It was a non-cooperation movement, fully non-violent and disciplined.
9. (i) compelled (ii) agitators
10. (i) authority (ii) cruelty

Difficult words: movement = आन्दोलन । displeasure = क्रोध । persude = बाध्य करना। crack down = हमला करना । title = उपाधि । phase = चरण revenue = राजस्व cultivator = किसान compelled = बाध्य किया । unmoved = अप्रभावित | delegation = प्रतिनिधि मण्डल । authorities = अधिकारी वर्ग । cause = कल्याण। nod = सहमति प्रकट करना । agitators = आंदोलनकारी ।

Passage 22.

Galileo, even after 350 years of his death, is still considered as one of the greatest scientists of the world. He was the first man who disproved many old notions by his experiments, although there were no sophisticated instruments available at that time. This Italian scientist right from his childhood was deeply interested in studying nature and science. That is why he could see every natural event with a scientific angle.

When he was 17 years old, one evening he went to church to pray. It was getting dark and the caretaker was lighting the candles in the candelabrum which hung from the roof by a chain. When he left it, it started swinging to and fro. Young Galileo observed it keenly and noticed that the time taken in each swing was the same.

There were no watches during those days to measure the timing, but being a medical student he knew that the beat of the human pulse is fairly regular. To prove his observation, he counted the number of pulse beats for each swing. He observed that each swing, whether big or small, took the same time. On this basis he made an instrument which is known as pulse-meter.

Questions :
1. Who is Galileo?
2. How did he disprove many old notions?
3. In which thing was he interested from his childhood?
4. Where did he go one evening and why?
5. What did he notice there?
6. What did he do to prove his observation?
7. Who made the first pulse-meter?
8. Why was the caretaker lightening the candles?
9. Write one word for ‘an object with several branches for holding candles and lights’.
10. Make noun forms of the words : (i) died (ii) observe
Answers:
1. Galileo is considered as one of the greatest scientists of the world.
2. He dispproved many old notions by his experiments.
3. He was deeply interested in studying nature and science from his childhood.
4. One evening he went to church to pray.
5. He noticed that the time taken in each swing was the same.
6. To prove his observation, he counted the number of pulse beats for each swing.
7. Galileo.
8. The caretaker was lightening the candles because it was getting dark.
9. candelabrum
10. (i) death (ii) observation

Difficult words : disproved = गलत सिद्ध किया, गलत बताया। notions = विचार। sophisticated = सुविज्ञ, विवेकी। angle = दृष्टिकोण। caretaker = रखवाला। candelabrum – an object with several branches for holding candles or lights = एक पात्र जिसमें कई मोमबत्तियाँ या कई बिजली के बल्व लगे रहते हैं। started swinging = झूलने लगे। to and fro = इधर -उधर। beat of the human pulse = मनुष्य की नाड़ी की धड़कन।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 23.

‘Define a brave person’. The question was put to children receiving awards for bravery. They all spoke different languages and slowly came to the definitions in many tongues. These were innocent children from all over India who had risked their lives to save others from harm. They had all come to New Delhi to receive awards for bravery on Republic Day and were being hosted a party by the Gandhi Peace Foundation.

Mr Subbarao, a social worker, had asked them to define bravery. ‘One who is not afraid of anything or anybody’, said the children in chorus. But after many songs and games, the definition that was finally arrived at was what Mahatma Gandhi has lived for.

‘A brave person’, announced the brave children bravely, ‘is one who is not afraid of anybody or anything and of whom others are not afraid’. Mr. Subbarao explained : ‘It is very easy to scare others with external weapons but to never be afraid of anybody and terrorize others takes great courage.’Gandhi was afraid of nobody and terrorized nobody. He united a country as vast as ours with no weapon but only with a sense of purpose.

Questions :
1. What was the question which was put to children receiving awards for bravery?
2. Who came to receive awards for bravery?
3. Why was Gandhiji called a brave person?
4. Who was Mr Subbarao?
5. Where did they come to receive the awards?
6. What takes great courage?
7. What was the common definition of bravery told by all children in chorus?
8. How could Gandhiji unite India?
9. Write the synonyms of the following words : (i) outer (ii) injury
10. Write one word for ‘simple hearted people with no feelings of cunningness’.
Answers:
1. The question was ‘Define a brave person’.
2. Children from all over India who had risked their lives to save others from harm, came.
3. Gandhiji was called a brave person because he was afraid of nobody and terrorised nobody.
4. Mr Subbarao was a social worker.
5. They came to New Delhi.
6. Never be afraid of anybody and terrorize others takes great courage.
7. The common definition of bravery told by all children in chorus was ‘one who is not afraid of anything or anybody’.
8. Gandhiji could unite India with a sense of purpose.
9. (i) external (ii) harm
10. innocent.

Difficult words : define = परिभाषा करिए। risked = जोखिम में डाली। innocent = भोले-भाले। crisis = आपातकाल। hosted = मेजबानी की। social worker = सामाजिक कार्यकर्ता। chorus = समवेत स्वर। scare = डराना। external =बाह्य। weapons = हथियार। terrorized = आतंकित किया।

Passage 24.

Often students who are very fond of reading books are labelled by their comrades as bookworms. Those criticisms generally come from the mouths of students who consider themselves as being ‘gamesters’. Boys who shine in athletics or in the playing of some game particularly cricket, consider that the games field is a better or nobler arena for their activities and expenditure of their energies than the classroom or the reading desk. The idea is born out

of an inferiority complex inherent in the games-minded students who actually envy their fellows who shine academically. Academic honours have a glamour which is unique.

It is not to be denied that the playing of games is a worthy activity; it is worthy in the sense that the team spirit can be engendered in the individual only if he has learnt to participate in the playing of games. It is also true that the player does much for society and for his country on the playing field. It is true that the feeling of cooperation can be cultivated in a person only through group activity.

Questions :
1. Who call the students interested in reading as bookworm?
2. Who consider that games field is better?
3. When does the idea of inferiority complex arise in the minds of the games-minded students?
4. Which have a unique glamour?
5. What can’t be denied about playing of games?
6. How can the quality of team spirit be engendered?
7. When can the feeling of cooperation be cultivated?
8. Who begin to ignore their studies?
9. Write the antonyms of the following words :
(i) better (ii) inferiority
10. Use the word ‘comrade’ in your own sentence.
Answers:
1. Such students are often called by their comrades as bookworms.
2. Boys who shine in athletics or in the playing of some game consider so.
3. It arises when their fellows shine academically.
4. Academic honours have a glamour.
5. It can’t be denied about playing of games that it is a worthy activity.
6. The quality of team spirit can be engendered by participating in the playing of games.
7. The feeling of cooperation can be cultivated only through group activity.
8. Boys who become obsessed with the playing begin to ignore their studies.
9. (i) worse (ii) superiority
10. Comrade = friend
Use : I cannot forget my comrade Harish who saved my life.

Difficult words : are labelled = नाम रखा जाता है। comrades = साथियों। bookworm = किताबी कीड़े। criticisms = आलोचनाएँ, कटाक्ष। gamesters = खेलने के इच्छुक। athletics = खेलकूद। arena = अखाड़ा, क्षेत्र। inferiority complex = हीन भावना। inherent = छिपा हुआ। envy = द्वेष करते हैं। academic honours = शैक्षिक सम्मान। glamour = मोहकता। unique = अपने में एक ही। engendered = पैदा की। cultivated = विकसित।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 25.

It was a pet dream of mine-becoming the chief guest at some inauguration ceremony. Whenever I watched ministers laying foundation stones or lesser mortals scissoring ribbons to step into some newly-opened showroom, I burned with jealousy.

I longed to cut a ribbon or lay the foundation stone of any project even though the project was not likely to be completed in this century, which is usually the case today. But I was not invited to the inauguration of even my village akhara. When I had almost given up hopes, my dream suddenly came true, though not the way I had imagined.

A couple of months back my friendly neighbourhood halwai informed me that he was going to open a South Indian restaurant near his sweetshop.

One day while taking my evening walk, I heard someone come up behind me panting. It was the fatso halwai hollering “babuji”, “babuji”. I went to his shop in new dress. Evidently I was the distinguished guest of the evening.

Questions :
1. What was the dream of the writer?
2. When did the writer burn with jealousy?
3. Where was the writer not invited?
4. What did the neighbourhood halwai inform the writer?
5. What was the hope that the writer had given up?
6. For what did the writer long?
7. Where was the halwai going to open the shop?
8. Did the dream of the writer come true?
9. Find the words from the passage which mean the same as: (i) clearly (ii) a period of thirty days
10. Form plural forms of the following words : (i) century (ii) shop
Answers:
1. The dream of the writer was to become the chief guest at some inauguration ceremony.
2. He burned with jealousy whenever he watched ministers laying foundation stones or lesser mortals scissoring ribbons.
3. He was not invited to the inauguration of even his village akhara.
4. He informed him that he was going to open a South Indian restaurant.
5. It was the hope of becoming chief guest at some inauguration ceremoney.
6. The writer longed for cutting a ribbon or laying the foundation stone.
7. The halwai was going to open the shop near his sweetshop.
8. Yes, he was invited as chief guest to inaugurate a South Indian restaurant.
9. (i) evidently (ii) month
10. (i) centuries (ii) shops

Difficult words : inauguration = उद्घाटन। laying foundation stones = शिलान्यास करना। lesser mortals = मन्त्री पद के नीचे के लीग। scissoring = केंची से काटना। jealousy = ईष्या। longed = इच्छा करता था।। project = परियोजना। given up= त्याग दी। neighbourhood = पड़ोस। evidently = स्पष्ट रूप से। distinguished = विशिष्ट।

Passage 26.

In India working women lead a life of dual responsibilities if they are married and have a family. In the West many women are committed to their jobs. Here in India women still have traditional roles to fulfil and prefer a career to avoid domestic hard and boring work.

There are four categories of working women in India. Some work while they are waiting for matrimony. A majority work because they are qualified, want a second income and a different kind of life for part of the day. A small section consists of career-women. A sizeable section of women are bread-winners.

It is quite apparent that with a majority of working women the family is more important than the job. They prefer to stay in joint families where their children can be taken care of while they are at work. When they come back in the evenings from the relatively modern surroundings of their work-spots; their personalities have to undergo a change to accommodate the demands on their time and attention by different family members whose predominant feelings are of having been neglected. These women often do their shoppings on the way from office.

Questions :
1. Who lead a life of dual responsibilities?
2. What do the women do in the West?
3. What do the Indian women prefer?
4. How many categories are there in India of working women?
5. Why do majority of women work in India?
6. Why do working women in India prefer joint family?
7. When do the working women do their shoppings?
8. Why do some women work in India?
9. Make noun forms of the following words : (i) traditional (ii) prefer
10. Make superlative degrees of the following words : (i) different (ii) small
Answers:
1. In India working women lead a life of dual responsibilities.
2. They are committed to their jobs.
3. Indian women prefer a career to avoid domestic hard and boring work.
4. Four categories.
5. Majority of women work in India because they are qualified and want a second income.
6. Indian women preper joint family because when they are at work their children can be taken care of.
7. They do their shoppings on the way from office.
8. Some women’work in India because they are waiting of matrimony.
9. (i) tradition (ii) preference
10. (i) most different (ii) smallest

Difficult words : lead = व्यतीत करती हैं। dual = दोहरी। are committed = लगी रहती है। traditional = पारंपरिक। prefer = चुनना। matrimony = वैवाहिक जीवन। sizeable = बड़ी संख्या में। breadwinner = परिवार का वह व्यक्ति जिसकी कमाई से परिवार का पालन पोषण होता है। apparent = स्पष्ट, प्रत्यक्ष। prodominant = महत्वपूर्ण।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 27.

Narendra Damodardas Modi was born on 17 September 1950 at Vadnagar in Mehsana District of Gujarat. He is the first Prime Minister of India who was born just after the independence of India. Narendra Modi was sworn in as Prime Minister on 26 May 2014 at the Rastrapati Bhavan. His swearing-in ceremony was a first of its kind. He invited all SAARC leaders to attend the ceremony. He was the third of the four children.

His father, Damodardas Mulchand Modi used to run a tea stall at Vadnagar railway station. Narendra Modi used to help his father in selling tea. The name of his mother is Heeraben. At the age of eight he joined RSS (Rastriya Swayam Sevak Sangh). He left home at the age of 17 . He became RSS Pracharak. He returned home after two years.

He post-graduated in Political Science from Gujarat University in 1983. On 7th October 2001 Modi was appointed the Chief Minister of Gujarat. Modi served as the Chief Minister of Gujarat for the four terms (2001-2002, 2002-2007, 2007-2012, 2012-2014). He was again sworn in as the Prime Minister of India on 30 May 2019.

Questions
1. When and where was Narendra Modi born ?
2. When and where was Narendra Modi sworn in as Prime Minister first time?
3. Why was his swearing-in ceremony a first of its kind ?
4. How did he help his father ?
5. What is his qualification?
6. When did he join RSS ?
7. How many times did Modi serve as the Chief Minister of Gujrat?
8. How old was Modi when he left home?
9. Choose from the passage the words that mean : (i) liberty (ii) type
10. Make Noun forms of the following words : (i) attend (ii) invite
Answers:
1. Narendra Modi was born on 17 September, 1950 at Vadanagar in Mehsana district of Gujarat.
2. He was sworm in as Prime Minister on 26 May, 2014 at the Rastrapati Bhawan.
3. His swearing-in ceremony was a first of its kind because he invited all SAARC leaders to attend the ceremony.
4. He helped his father in selling tea.
5. He is post graduate in Political Science.
6. When he was eight years old, he joined RSS.
7. He served four times as the Chief Minister of Gujarat.
8. He was 17 years old.
9. (i) independance (ii) kind
10. (i) attendance (ii) invitation

Difficult words : was sworn in = शपथ दिलाई गई । swearing-in ceremony = शपथ ग्रहण समारोह। terms = अवधि ।

Passage 28.

Here is an important rule for pedestrians. They ought to keep to the footpath and leave the middle of the road for vehicles. Where there is no footpath, pedestrians must keep close to the edge of the road. If they do not obey this rule, they will cause danger to themselves as well as to others. A driver may turn his vehicle suddenly to avoid a pedestrian and, in doing so, may knock down someone else. He may even lose control of his vehicle and drive over the footpath and knock down several people.

All vehicles should keep to the left and leave the right half of the road free for those coming from the opposite direction. This is the traffic rule in all parts of India. In some countries in the west, however, vehicles have to keep to the right and not to the left. It does not matter whether it is right or left but, everyone should obey the rule. Cyclists should always keep to the edge of the road and not get in the way of other vehicles or pedestrians.

Questions
1. What ought pedestrians to do?
2. What should pedestrians do where there is no footpath?
3. When may a driver lose control of his vehicle ?
4. What is the traffic rule for vehicles in India?
5. Where should a cyclist ride on the road?
6. What is traffic rule in some western counries?
7. What should everyone do?
8. What will happen if we do not obey the rules of the road?
9. Choose from the passage the words that mean :
(i) a person walking in the street (ii) strike
10. Write one word for : an unpleasant event that happens unexpectedly and causes death or injury.
Answers:
1. Pedestrians ought to keep to the footpath or close to the edge of the road.
2. Where there is no footpath, pedestrians must keep close to the edge of the road.
3. A driver may lose control of his vehicle if pedestrians do not obey the rules of the road.
4. In India, all vehicles should keep to the left and leave the right half of the road free for those coming from the opposite direction.
5. A cyclist should ride on the left edge of the road.
6. In some western countries vehicles have to keep to the right and not to the left.
7. Everyone should obey the rule of the roads.
8. We will cause dangers to ourselves as well as to others.
9. (i) pedestrian
10. accident

Difficult words : pedestrians = पैदल चलने वाले । edge = किनारा ।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 29.

The culture of Rajasthan is very different and unique. The unique mixture of diverse topography, history and curious life-style is what gives Rajasthani culture its rich heritage. The rich culture in Rajasthan is visible everywhere there. The colourful dresses, the heavy jewellery, the palace like mansions and havelis, the joyous festivals and fairs, all are symbols of the rich and unique culture of Rajasthan.

The dull and harsh living condition of people in Rajasthan is made a bit colourful and lively by so many fairs and festivals that are celebrated there. The only way people here enjoy the simple pleasures of life, is by celebrating each and every occasion and event on a grand scale. Any festival, big or sniall, is celebrated with much enthusiasm and joy. Rajasthan comes alive during fairs and imf ortant festivals.

The most commoly language spoken in Rajasthan is Hindi. The people of Rajasthan speak in Rajasthani and mahesrwari. Hindi is the official language of the state. The people over here are very religious and fo ow all rituals and traditions piously.

Questions
1. What are the symbols of the unique culture of Rajasthan?
2. Describe the living conditions of Rajasthani people.
3. What makes the life of Rajasthani people colourful ?
4. Why do the people of Rajasthan follow all rituals and traditions piously?
5. What is the official language of Rajasthan?
6. Which languages are spoken in Rajasthan ?
7. How do people enjoy the simple pleasures of life?
8. What is visible everywhere?
9. Choose from the passage the words that mean :
(i) that can be seen easily. (ii) great eagerness for something.
10. Make plural forms of the words : (i) rich (ii) jewellery.
Answers:
1. Colourful attires, heavy jewellery, the palatial mansions and havelis, joyous festivals and fairs etc., are the symbols of the unique culture of Rajasthan.
2. The living conditions of Rajasthani people are dull and harsh.
3. Large number of joyous fairs and festivals make the life of Rajasthani people colourful.
4. Since the people of Rajasthan are very religious, they follow all rituals and traditions piously
5. Hindi is the official language of Rajasthan.
6. Hindi, Rajasthani and Marwadi languages are spoken here.
7. They enjoy the simple pleasures of life by celebrating each and every occasion and event on a grand scale.
8. The rich culture in Rajasthan is visible everywhere.
9. (i) visible (ii) enthusiasm
10. (i) riches (ii) jewelleries

Difficult words : culture = संस्कृति । unique = अनोखी या अतुलनीय । topography = स्थानिक भूगोल (स्थान वर्णन ) I attires = परिधान I palatial = महलनुमा । mansion = भवन या महल । harsh = कठोर। enthusiasm = उत्साह | rituals = धार्मिक कृत्य । grandeur = भव्यता ।

Passage 30.

Read the passage given below and answer the questions that follow :

We want purity – pure food, pure water, pure air. We want pure surroundings. We yearn for pure heart and pure lóve. We prefer pure environment and pure society. We are fond of purity because purity promotes health. Impurities are injurious to health. Purity gives peace of mind, impurities destroys the mind. Both for physical health and mental health, we need purity. We require environmental purity for overall health.

Purity of body is physical health. Purity of speech is pure truth. Purity of heart is unselfish love. Purity of thought is righteous reason. Purity of mind is wholesome peace. Purity of action is sincere and unselfish service. Purity of society is harmonious unity.

Purity of mind makes our vision, words and deeds pure. It has also the power to purify people. Evil has no place in the presence of purity. Nor can it (evil) face purity, as darkness cannot face the sun. It only gets changed into purity. Villains who come to harm stand in adoration in the presence of purity. Murderers become followers of peace in the presence of purity.

Questions
1. What do we want?
2. What do we yearn for ?
3. Why are we fond of purity?
4. Why do we require environmental purity?
5. What are purity of mind and purity of action?
6. What are the various types of purity ?
7. How does purity change murderers?
8. What effect does purity of mind have on people ?
9. Write one word for : to want something very much especially when it is very difficult to get
10. Choose the words from the passage that mean :
(i) trustful (ii) gives
Answers:
1. We want purity-pure food, pure water, pure air.
2. We yearn for pure heart and pure love.
3. We are fond of purity because it promotes health.
4. We require environmental purity for overall health.
5. Purity of mind is wholesome peace and purity of action is sincere and unselfish service.
6. There are various types of purity; as purity of body, purity of speech, purity of heart, purity of thought, purity of mind, purity of action, etc.
7. Purity changes murderers into followers of peace.
8. Purity of mind makes our vision, words, and deeds pure. It has also the power to purify people.
9. yearn
10. (i) sincere
(ii) provides

Difficult words ; yearn = to want something very much, especially something that you cannot have, लालायित होना । fond of = शौकीन । impurities = अशुद्धियाँ । injurious = हानिकारक । overall = कुल मिलाकर। righteous = नैतिक रूप से उचित । wholesome = शारीरिक स्वास्थ्य के लिए हितकर, स्वास्थ्यवर्धक । unsullied = शुद्ध । harmonious = सद्भावनापूर्ण । evil= बुराई (यहाँ बुरा व्यक्ति) । adoration = पूजा/आराधाना ।

Passage 31.

Read the passage given below and answer the questions that follow :

Rajasthan is India’s largest state, located on its north-western border with Pakistan. It is surrounded by the states of Gujarat, Uttar Pradesh, Madhya Pradesh, Haryana and the Punjab. Rajasthan is divided in two parts by the Aravalli hills, dividing it into two different landscapes. On the west is Rajasthan’s unique feature, the Thar Desert an area of sand, scrub and thorn. The other is the region to the east of the Aravallis, which is more rain fed and friendly and kind to visitors.

The culture of Rajasthan is defined by the Rajputana kingdoms that ruled it for centuries; the word Rajput meaning sons of royalty. The Thar Desert region saw the Desert Kingdoms of Marwar; modern Jodhpur, Jaisalmer, and Bikaner. The east saw the kingdoms of Mewarmodern Chittor and Udaipur; modern Amber and Jaipur and Hadoti-modern Bundi, Kota and Jhalawar among many others. As a result, Rajasthan has a larger number of forts, palaces, and royal riches than any other place in India. This is the reason why tourism here is a primary pillar of the economy; apart from agriculture and cattle rearing.

Questions
1. What did the Thar Deser region see?
2. Name the cities that fell into the region of the kingdom of Mewar.
3. What is it that divides Rajasthan into two parts?
4. What are the features of the east of the Aravallis?
5. What does the word ‘Rajput’ mean ?
6. Name the states which surround Rajasthan.
7. Write the unique feature of Rajasthan’s west.
8. Which is a primary pillar of economy in Rajasthan ?
9. Make singular form of the following words : (i) families (ii) fortresses
10. Write one word for : An area of land covered by sand
Answers:
1. The Thar Desert region saw the Desert kingdom of Marwar.
2. The cities are Chittor, Udaipur, Amber and Jaipur.
3. They are the Aravalli hills.
4. It is more rain fed and friendly and kind to visitors.
5. The word ‘Rajput’ means son of royalty.
6. The states which surround Rajasthan are Gujarat, Uttar Pradesh, Madhya Pradesh, Haryana and the Punjab.
7. The unique feature of Rajasthan’s west is its ‘Thar Desert’-an area of sand, scrub and thorn.
8. Tourism is a primary pillar of economy in Rajasthan.
9. (i) family (ii) fortress
10. desert.

Difficult words : scrub = झाड़-झंखाड़ वाला इलाका । pillar = स्तम्भ । rearing = पालन ।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 32.

The greatest defect in our present system of education is that it is too theoretical. An educated man has only bookish knowledge. He knows nothing about practical things. The present system of education does not teach students the dignity of labour. A student is not taught or trained to do things with his hands. Manual or physical labour finds no place in education. They look down upon manual labour. They consider it below their dignity to work with their hands in fields or factories.

Vocational education is the need of the hour. We need more and more technicians, engineers and doctors. But the number of vocational institutions – Engineering and Medical colleges, Polytechnics and IIT’s – is limited. A large number of young men and women, who can do well as technicians, are deprived of technical or vocational knowledge.

The present system of education gives too much importance to English. At many places, it is the medium of instruction. English may be an international language. It may have rich treasures of science and literature. But it can never be our national language. Education must be given in the mother tongue.

Questions
1. Why are a large number of young men and women deprived of technical knowledge?
2. What does an educated man not know?
3. What is the greatest defect in our present system of education?
4. What type of education is the need of the hour ?
5. What does an educated man have ?
6. What does the present system of education not teach the students ?
7. In which language must education be given ?
8. What do the students consider below their dignity?
9. Find from the plassage the words that mean the same : (i) realistic (ii) shortcomings
10. Add ‘ing’ to the following verbs : (i) achieve (ii) give
Answers:
1. Because the number of vocation institutions is limited.
2. An educated man knows nothing about practical things.
3. Our present education system is too theoretical.
4. Vocational education is the need of the hour.
5. An educated man has only bookish knowledge.
6. It does not teach the students the dignity of labour.
7. Education must be given in the mother tongue.
8. The students consider it below their dignity to work with their hands in fields or factories.
9. (i) practical (ii) defects
10. (i) achieving (ii) giving

Difficult words : theoretical= सैद्धान्तिक 1 dignity = गरिमा ocational = व्यावसायिक। deprived = वंचित । instruction = शिक्षा, अनुदेश ।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 33.

Gandhiji was a first-class nurse to the sick. Where he picked up nursing was a mystery. He certainly did not pass through a nursing school. As in many other things, when nursing became necessary to him in life, he learned it by the hard way of experience. In the Ashram at Sabarmati, all sick persons came directly under his eye and care. Doctors were, of course, consulted; but the care of the sick, Gandhiji arranged in person.

It was a joke, especially among the people in the Ashram that if you wanted to see Gandhiji every day and talk to him and hear him crack jokes, you had only to be ill and get into bed! For Gandhiji visited the sick every day, spent a few minutes at every bed-side, himself saw to things carefully and never failed to crack a joke or two with the patient. There was no day, too busy for Gandhiji to attend sick persons

Questions
1. What was the mystery?
2. How did Gandhiji learn nursing ?
3. What was the joke about Gandhiji ?
4. Who cared for the sick ?
5. When did Gandhiji visit the sick ?
6. Name the place where Gandhiji care for sick.
7. Who is called the first class nurse?
8. How did Gandhiji entertain the patients?
9. Choose the words from the passage that mean the same:
(i) compulsory (ii) a sick person
10. Write one word for : Something that is difficult to understand or to explain
Answers:
1. Picking up nursing by Gandhiji was a mystery.
2. Gandhiji learned nursing by the hard way of experience.
3. It was that if somebody wanted to see Gandhiji, he should just be ill and get into bed.
4. Gandhiji himself cared for the sick.
5. Gandhiji visited the sick everyday, spent a few minutes at every bed side.
6. It was Sabarmati Ashram.
7. Gandhiji is called the first class nurse.
8. Gandhiji entertained the patients by telling one or two jokes.
9. (i) necessary (ii) patient
10. mystery.

Difficult words : picked up = स्वतः सीखा । mystery = रहस्य । crack jokes = हैसी-मजाक करना।

Passage 34.

Srinivasa Ramanujan was one of the greatest mathematical genius of the world. Born in a poor Brahmin family, he gave no sign of his hidden talent. He was born at Erode in Coimbatore in 1887. His father was an accountant to a cloth merchant who had to maintain a large family on a small income. Srinivasa was granted half exemption of fees when he stood first in the Primary School Examination in the whole of Tanjore District.

From his childhood Ramanujan was of a quiet and dreamy.temperament. He had answer to all sums that puzzled his class-mates and seniors. Figures did not worry him, no calculation was too difficult for him. Things which were all dark and muddled to his class-mates were as clear as daylight to him. He always helped them with generosity which all through his career was the most lovable feature of his character.

But the passion for Mathematics gained on him, he neglected all other subjects so much that he failed to gain promotion to higher class, thereby losing his scholarship. This was a great calamity of which he had never dreamt.

Questions
1. Who was Ramanujan?
2. Where was Ramanujan born ?
3. What was his father?
4. How was the economical condition of Ramanujan’s family?
5. Why was Srinivasa granted half exemption of fees?
6. Why did he fail to get promotion to higher class?
7. What was the unexpected calamity that befell Ramanujan?
8. How was the nature of Srinivasa in his childhood?
9. Choose from the passage the words that mean : (i) kindness (ii) ignore
10. Make noun forms of the following words : (i) dreamt (ii) calculate
Answers:
1. He was one of the greatest mathematical genius of the world.
2. Ramanujan was born at Erode in Coimbatore.
3. His father was an accountant to a cloth merchant.
4. Ramanujan belonged to a poor family.
5. He was granted half exemption of fees because he stood first the Primary School Examination in the whole of Tanjore District.
6. Ramanujan paid more attention to Mathematics and ignored other subjects, so he failed to get promotion to higher class.
7. Failing to get promotion and thereby losing his scholarship was the unexpected calamity that befell Ramanujan.
8. He was of a quite and dreamy temperament.
9. (i) generosity (ii) neglect
10. (i) dream (ii) calculation

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 35.

This letter is written by the great American President Abraham Lincoln to the teacher of his son. Very inspiring and sometime in life you might need to give it to your children to read… My son starts school today. It is all going to be strange and new to him for a while and I wish you would treat him gently. It is an adventure that might take him across continents.

All adventures that probably include wars, tragedy and sorrow: To live this life will require faith, love and courage. So dear Teacher, will you please take him by his hand and teach him things he will have to know, teaching him – but gently, if you can. Teach him that for every enemy, there is a friend. He will have to know that all men are not just, that all men are not true. But teach him also that for every scoundrel there is a hero that for every crooked politician, there is a dedicated leader.

Questions :
1. Who is the writer of this letter ?
2. What are required to live this life ?
3. What is there for every enemy ?
4. Who is with every crooked politician ?
5. To whom is this letter written?
6. What is the occasion of writing this letter ?
7. How will the teacher treat his son ?
8. What will the boy have to know?
9. Find one word from the passage that means ‘one of the large land masses of the earth’.
10. Write the words from the passage which mean
(i) a man who treats other people badly (ii) trust
Answers:
1. Abraham Lincoln is the writer of this letter.
2. Faith, love and courage are required to live this life.
3. For every enemy there is a friend.
4. With every crooked politician there is a dedicated leader.
5. This letter is written to the teacher of Abraham Lincon’s son.
6. This letter is written to the teacher because the son of Lincon is starting school and it is to instruct the teacher.
7. The teacher will treat gently.
8. The boy will have to know that all men are not just, that all men are not true.
9. continent.
10. (i) scoundrel (ii) faith

Difficult words : for a while = for a short period, कुछ समय के लिए। gently = सरलता से। adventure = असाधारण अनुभव। continent = one of the large land masses of the earth, महाद्वीप। scoundrel = a man who treats other people badly, दुष्ट। crooked = not straight dishonest, कुटिल। dedicated = working hard at something, committed, समर्पित।

JAC Class 9 English Reading Comprehension Unseen Passages

Passage 36.

Once upon a time, in the kingdom of Seri, the Bodhisattva, who bought and sold pots and pans, was called Serivan. In the company of another seller of pots and pans, a greedy fellow, he crossed the river Televastra and entered the city of Andhapura. Dividing the streets between the two of them, they set about selling their pots and pans, each in the streets of his own district.

Now, in the city there lived a poor family which had once been rich. There were only two people in the family now, a young girl and her grandmother, who worked for their living. Lying among old pots and pans in their house was a golden bowl, which, having been long out of use, looked so dirty that the two women did not know that it was made of gold. The greedy seller went past their door crying, ‘Exchange your old pots for new!’ When the young girl heard his cry, she said to her grandmother, “Do let’s buy a new plate, grandmother! There’s man who’s selling pots.”

Questions :
1. Who was called Serivan ?
2. Which river did Serivan cross?
3. Why did the two women not know that the bowl was made of gold ?
4. After crossing the river what did sellers do?
5. What was lying in the house of the girl and the grandmother ?
6. What did the girl and her grandmother do to their living ?
7. Who were keen to get rid of the old bowl ?
8. What was the seller doing?
9. Find a word from the passage which is opposite to : (i) old (ii) came out
10. Make the noun forms of the following words : (i) golden (ii) greedy.
Answers:
1. The Bodhisattva was called Serivan.
2. He crossed the river Televastra.
3. Having been long out of use the bowl looked very dirty. So they did not know that it was made of gold.
4. After crossing the river they entered the city of Andhapura and started selling their pots and pans.
5. A golden bowl was lying among old pots and pans in their house.
6. They worked for their living?
7. The girl and her grandmother were keen to get rid of the old bowl.
8. The seller was exchanging old pots for new ones.
9. (i) new (ii) entered
10. (i) gold (ii) greed

Difficult words : set about = started, प्रारम्भ किया। district = a particular area of a town, किसी कस्बे का एक विशेष क्षेत्र। had once been = had once remained, कभी रही थी। golden = made of gold, सोने से बना हुआ। dirty = full of dust, unclean, धूल से भरा हुआ, गंदा। went past = passed, गुजरा। exchange = to give in change, बदलना।

Passage 37.

The head teacher said to me: “The adjoining recitation room needs sweeping. Take the broom and sweep it”. I knew that I could sweep, for Mrs Ruffner had thoroughly taught me how to do that when I lived with her. I swept the recitation room three times, then I got a dusting cloth, and I dusted it four times. All the woodwork around the walls; every bench, table, and desk, I went over four times with my dusting cloth. Besides, every piece of furniture had been moved and every closet and corner in the room had been thoroughly cleaned.

When I was through I reported to the head teacher. She was a “Yankee” woman who knew just where to look for dirt. She went into the room and inspected the floor and closets; then she took her handkerchief and rubbed it on the woodwork about the walls and over the table and benches. When she was unable to find one bit of dirt on the floor or a particle of dust on any of the furniture, she quietly remarked, “I guess you will do to enter this institution.”

Questions :
1. How many times did the writer sweep recitation room?
2. Who taught the writer how to sweep?
3. How was the head teacher of the institution ?
4. What was the remark given by the head-teacher to the writer ?
5. Who asked to sweep the room?
6. When did the head teacher agree to give admission to the writer in the institute?
7. Which things did the writer dust with his dusting cloth ?
8. What did the head teacher do with her handkerchief?
9. Change the following sentence into Indirect Speech.
She remarked, “I guess you will do to enter this institution”.
10. Find word from the passage that means the same as “a person living in the northern states of USA.”
Answers:
1. The Bodhisattva was called Serivan.
2. He crossed the river Televastra.
3. Having been long out of use the bowl looked very dirty. So they did not know that it was made of gold.
4. After crossing the river they entered the city of Andhapura and started selling their pots and pans.
5. A golden bowl was lying among old pots and pans in their house.
6. They worked for their living?
7. The girl and her grandmother were keen to get rid of the old bowl.
8. The seller was exchanging old pots for new ones.
9. (i) new (ii) entered
10. (i) gold (ii) greed

JAC Class 9 English Reading Comprehension Unseen Passages

Difficult words : adjoining = nearest to, निकट से। recitation = an act of saying aloud a piece of poetry, कविता पाठ। closet = a large cupboard that is built into a room, कमरे में लगी बड़ी अलमारी। impression = the effect, प्रभाव। when I was through = when I completed the work, जब मैंने काम पूरा कर लिया। souls = persons, व्यक्तियों। Yankee = inhabitant of United States of America, संयुक्त राज्य अमेरिका की निवासी (यहाँ) अत्यंत निपुण महिला।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Jharkhand Board JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto Textbook Exercise Questions and Answers.

JAC Board Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

JAC Class 9 English The Adventures of Toto Textbook Questions and Answers

Think About It

Question 1.
How does Toto come to grandfather’s private zoo ?
टोटो दादाजी के व्यक्तिगत चिड़ियाघर में किस तरह आता है?
Answer:
Grandfather was fond of pet animals. He had a private zoo of his own. The monkey Toto looked so out of place with a tonga driver that grandfather decided to buy him and to make him a part of his private zoo.

दादाजी पालतू जानवरों के शौकीन थे । उनका खुर्द का एक चिड़ियाघर था । बन्दर टोटो ताँगा चालक के पास इतना दुःखी और उदास दिखाई दिया कि दादाजी ने उसे खरीदने और अपने खुद के चिड़ियाघर का सदस्य बनाने का निर्णय लिया ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Question 2.
“Toto was a pretty monkey.” In what sense is Toto pretty ?
” टोटो एक सुन्दर बन्दर था ।” टोटो किस अर्थ में सुन्दर है ?
Answer:
Toto had bright, sparkling mischievous eyes with deep-set eye-brows and white pearly teeth. His dried up hands looked as if pickled in sun, but he had quick and wicked fingers. He had a tail which not only added to his beauty but also worked as his third hand. He could use his tail to hang from a branch of any tree. His mischievous nature added charm to his looks.

टोटो की आँखों में शरारतभरी चमक थी, उसकी भौंहें घनी थीं और उसके दाँत मोती. जैसे सफेद थे । उसके अचार के समान सूखे हाथों की अँगुलियाँ फुर्तीली व शरारती थीं । उसकी पूँछ न केवल उसकी सुन्दरता में वृद्धि करती थी बल्कि उसके तीसरे हाथ का भी काम करती थी । वह अपनी पूँछ के सहारे किसी भी पेड़ की शाखा पर लटक सकता था। उसका शरारती स्वभाव उसकी सुन्दरता बढ़ा देता था ।

Question 3.
Why does grandfather take Toto to Saharanpur and how? Why does the ticket collector insist on calling Toto a dog ?
दादाजी टोटो को क्यों और कैसे सहारनपुर ले जाते हैं ? टिकिट कलेक्टर (संग्राहक) टोटो को कुत्ता कहने की जिद क्यों करता है?
Answer:
Grandfather has to go to Saharanpur to collect his pension. As Toto cannot live with other animals in the servants’ quarter, grandfather decides to take Toto along with him. Toto is put in a big canvas kit-bag with some straw at the bottom. When grandfather shows his ticket to the ticket-collector, Toto gives the ticket-collector a wide grin. The ticket-collector is taken aback. He gets irritated and classifies Toto as a dog.

दादाजी को अपनी पेन्शन लेने के लिए सहारनपुर जाना पड़ता है । क्योंकि टोटो नौकरों के क्वार्टर में अन्य जानवरों के साथ नहीं रह सकता, दादाजी उसे अपने साथ ले जाने का निश्चय करते हैं । टोटो को एक बड़े कैनवास के थैले में जिसके तले में भूसा (पुआल ) था, में रखा जाता है । जब दादाजी टी. सी. को अपना टिकिट दिखाते हैं, तभी टोटो अचानक टिकिट कलेक्टर की ओर दाँत निकाल देता है । टिकिट कलेक्टर चौंक जाता है । उसको गुस्सा आ जाता है और वह टोटो को एक कुत्ते की श्रेणी में रख है

Question 4.
How does Toto take a bath? Where from has he learnt to do this? How does Toto almost boil himself alive ?
टोटो किस प्रकार स्नान करता है ? उसने यह सब कहाँ से सीखा है ? टोटो किस प्रकार अपने आपको लगभग जिन्दा ही उबाल लेता है ?
Answer:
During winter evenings grandmother gives Toto warm water for his bath. At first Toto checks the temperature of water with his hand. Then he puts one of his foot into it first and afterwards the other until he is in water up to his neck. He has learnt all this from the narrator of this story.

“One day, a large kettle was on fire to boil water for tea. Toto got into the kettle, sticking his head out. As water started boiling, he became uncomfortable. But he did not come out as it was cold outside. Luckily, grandmother came there and rescued him from being boiled alive”. Thus, Toto almost boils himself alive.

जाड़ों की शाम को दादी माँ टोटो को स्नान हेतु गर्म पानी देती हैं। पहले टोटो पानी के तापमान को हाथ से जाँचता है । तब वह अपने एक पैर को पानी में रखता है, फिर दूसरे पैर को और गर्दन तक पानी में डूब जाता है । उसने यह लेखक से सीखा है । “एक दिन बड़ी केतली में चाय के लिए पानी गर्म हो रहा था । टोटो केतली में बैठ गया और उसने अपना सिर बाहर निकाले रखा । जब पानी उबलने लगा तो उसे परेशानी होने लगी। लेकिन वह बाहर नहीं आया क्योंकि बाहर ठण्ड थी । सौभाग्यवश, दादी माँ वहाँ आ गयीं और उन्होंने उसे जिन्दा उबलने से बचा लिया ।” इस प्रकार, टोटो स्वयं को लगभग जिन्दा ही उबाल लेता है ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Question 5.
Why does the author say, “Toto was not the sort of pet we could keep for long “?
लेखक क्यों कहता है, “टोटो, इस किस्म का पालतू जानवर नहीं था जिसे हम अधिक समय तक रख पाते ?
Answer:
Toto was very mischievous and his mischiefs proved too expensive for the family. He not only tore the expensive wallpaper and clothes, but also broke plates, etc. Even grandfather realised that they could not afford such frequent loss. In fact, he was a wild monkey which was not suitable to be kept as a pet. So, the writer gives the above statement.

बहुत शैतान था और उसकी शैतानियाँ परिवार के लिए बहुत महँगी पड़ती थीं। वह महँगे वॉलपेपर व पोशाकें ही नहीं फाड़ता था बल्कि प्लेटें, आदि भी तोड़ देता था । यहाँ तक कि दादाजी ने भी महसूस किया कि वे इस प्रकार की बार-बार होने वाली हानि को वहन नहीं कर सकते थे । वास्तव में वह एक जंगली बन्दर था जिसे पाला नहीं जा सकता था । अतः लेखक उपर्युक्त कथन का प्रयोग करता है।

Talk About It

Question 1.
Do you have a pet ? Is your pet mischievous ? Tell the class about it.
क्या आपके पास कोई पालतू जानवर है ? क्या आपका पालतू जानवर शरारती है ? कक्षा को उसके बारे में बताओ|
Answer:
Yes, I have a pet dog. His name is ‘Tommy’ and he is very mischievous. Some of his mischiefs are as follows:

  • Tommy loves to play with my socks. Whenever I forget them in my room, he takes them and starts playing with them. He throws them under the bed or out of my room’s door with his paw and then brings back holding them with his teeth.
  • One day he took away my slippers and hid them under the bed in the other room.
  • Sometimes he is in a playful mood. When I’m busy with my homework, he puts his front paws on the table and takes away my pen and by pulling my shirt forces me to play with him.
  • One night when I was sleeping, he scared me by jumping quietly on my bed and licking my feet.

हाँ, मेरे पास एक पालतू कुत्ता है । उसका नाम ‘टॉमी’ है और वह बहुत शरारती है । उसकी कुछ शरारतें निम्नलिखित हैं :

  • टॉमी को मेरे मोजों से खेलना पसन्द करता है । जब कभी मैं उन्हें अपने कमरे में भूल जाता हूँ, वह उन्हें ले लेता है और उनसे खेलना प्रारम्भ कर देता है । वह उन्हें अपने पंजों से पलंग के नीचे या मेरे कमरे के दरवाजे से बाहर फेंक देता है और फिर उन्हें अपने दाँतों से पकड़कर वापस लाता है ।
  • एक दिन वह मेरी चप्पलों को ले गया और उसने उन्हें दूसरे कमरे में पलंग के नीचे छिपा ि
  • कभी – कभी उसका खेलने का मन होता है। जब मैं अपने गृह कार्य में व्यस्त होता हूँ, तो वह अपने अगले पंजों को मेज पर रख देता है, मेरी कलम को ले जाता है तथा मेरी कमीज को खींचते हुए मुझे अपने साथ खेलने को विवश करता है ।
  • एक रात जब मैं सो रहा था, उसने मेरे पलंग पर चुपचाप कूदकर और मेरे पैर चाटकर मुझे डरा दिया ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

JAC Class 9th English The Adventures of Toto Important Questions and Answers

Answer the following questions in about 30 words each:

निम्नलिखित प्रत्येक प्रश्न का उत्तर लगभग 30 शब्दों में दीजिये :

Question 1.
How does the writer describe Toto’s smile?
लेखक टोटो की मुस्कुराहट का वर्णन कैसे करता है ?
Answer:
According to the writer, Toto displayed his pearly white teeth while smiling. His smile was so mischievous that it frightened the life out of elderly Anglo-Indian ladies.

लेखक के अनुसार टोटो मुस्कराते समय अपने मोती जैसे सफेद दाँत दिखाता था । उसकी मुस्कराहट इतनी शरारतपूर्ण होती थी कि उसे देखकर वृद्ध ऐंग्लो-इण्डियन स्त्रियों की डर के मारे जान निकल जाती थी ।

Question 2.
How did Toto attract a curious crowd at the Dehradun railway platform?
टोटो ने देहरादून रेलवे प्लेटफॉर्म पर भीड़ में उत्सुकता कैसे जगा दी ?
Answer:
Toto was put in a canvas kit bag. When he tried to come out, the bag would roll about on the floor or sometimes jump into the air. This scene attracted a curious crowd.

टोटो को एक कैनवास के थैले में रखा गया था । जब वह बाहर आने की कोशिश करता था तो थैला फर्श पर लुढ़कता था या कभी-कभी हवा में उछलता था । इस दृश्य ने उत्सुक भीड़ को आकर्षित कर किया।

Question 3.
When would Toto refuse to go on with his bath ?
टोटो स्नान करने से कब मना कर देता था ?
Answer:
Toto was fond of bathing with warm water. It was really an amusing performance to watch while he was bathing. If anyone laughed at him during his bathing, his feelings would be hurt and he refused take a bath.

टोटो गर्म पानी में स्नान करने का बड़ा शौकीन था । उसको स्नान करते हुए देखना वास्तव में बहुत मनोरंजक होता था । यदि नहाते समय कोई उस पर हँस देता था तो उसकी भावनाएँ आहत होती थीं और वह स्नान करने से मना कर देता था।

Question 4.
How did Toto live with Nana, the family donkey ?
टोटो परिवार की गधी नाना के साथ किस प्रकार रहा ?
Answer:
Toto didn’t live peacefully with Nana, the family donkey. When the grandfather visited Toto at night, he found him stuck to Nana’s long ears having dug his sharp teeth into them.

टोटो परिवार की गधी नाना के साथ शान्तिपूर्वक नहीं रहा । जब रात को दादाजी टोटो को देखने गये, तो उन्होंने पाया कि टोटो नाना के लम्बे कानों से चिपका पड़ा था तथा उसने अपने पैने दाँत नाना के कानों में गड़ा रखे थे ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Question 5.
How did Toto get along with other animals ?
टोटो की शेष जानवरों के साथ कैसी निभती थी ?
Answer:
Toto could not get along well with other animals. He was not friendly to the pets in the family. He did not let them sleep. He always troubled them, while they all lived peacefully.

टोटो अन्य जानवरों के साथ नहीं रह सकता था । वह अन्य पालतू पशुओं के प्रति मित्रवत् नहीं था। वह उन्हें . सोने नहीं देता था। वह उन्हें सदा परेशान करता था जबकि वे सभी शान्तिपूर्वक रहते थे।

Question 6.
Why did Toto throw a plate at grandmother ?
टोटो ने दादी माँ पर प्लेट क्यों फेंकी ?
Answer:
Toto was eating ‘Pullao’, sitting at the dining table. When the grandmother entered the room, she screamed upon seeing this. Toto was annoyed at this and so he threw a plate at her.

ट्रोटो खाने की मेज पर बैठा पुलाव खा रहा था । जब दादी माँ कमरे में आयीं तो वे यह देखकर चिल्ला पड़ीं। टोटो इस पर गुस्सा हो गया और इसलिए उसने दादीजी पर एक प्लेट फेंक दी।

Question 7.
Why did Toto run away with the dish of ‘pullao’?
टोटो पुलाव की प्लेट लेकर क्यों भाग गया ?
Answer:
Toto was hungry and ‘Pullao’ was delicious. When everyone shouted at him and rushed towards him to stop him, he ran away with the dish of pullao in his hands and climbed on the jackfruit tree. There he ate the ‘Pullao’,

टोटो भूखा था और पुलाव स्वादिष्ट था । जब हर कोई उस पर चिल्लाया और उसकी ओर उसे रोकने को लपका तो वह पुलाव की प्लेट हाथ में लेकर भागा और कटहल के पेड़ पर चढ़ गया । वहाँ उसने पुलाव खाया ।

Question 8.
Why was Toto sold back to the tonga-driver?
टोटो को ताँगा वाले को वापस क्यों बेच दिया गया ?
Answer:
Toto was a mischievous monkey. He caused too much loss to the family. He tore clothes, curtains and wall-paper and even broke many of plates and destroyed the dishes. The family could not afford the frequent loss. So, Toto was sold back to the tonga-driver.

शैतान बंदर था । उसने परिवार का काफी नुकसान किया था । उसने कपड़े, पर्दे, दीवार के कागज फाड़ डाले और यहाँ तक कि बहुत से प्लेटें तोड़ दीं थी और व्यंजन बरबाद कर डाले थे। परिवार बार – बार होने वाले इस नुकसान को वहन नहीं सकता था । इसलिए टोटो को वापस ताँगे वाले को बेच दिया गया ।

Question 9.
Choose the right answer and give a reason for it :
सही उत्तर चुनिए तथा अपने उत्तर के पक्ष में कारण भी दीजिए :
Does Toto remind you of: क्या टोटो आपको याद दिलाता है
Moments (Supplementary Reader)
(i) a wild animal ? एक जंगली जानवर की ?
(ii) a dangerous animal ? एक खतरनाक जानवर की ?
(iii) a naughty little boy ? एक शरारती छोटे बच्चे की ?
Answer:
Toto reminds me of none other then a wild animal as he did nothing but to harm everyone. He tare many of clothes curtains and wall-papers. He broke many utensils and plates also bit the family donkey. Even after repeated attempts, he could not be made a pet.

टोटो मुझे किसी और की नहीं अपितु एक जंगली जानवर का स्मरण कराता है क्योंकि उसने हरेक को हानि पहुँचाने के सिवाय कुछ नहीं किया था। उसने बहुत से वस्त्र, पर्दे तथा वाल पेपर्स फाड़ डाले थे। उसने बहुत से बर्तन तथा थालियाँ तोड़ डाली थीं। उसने परिवार की गधी को भी काट खाया था। अनेक प्रयासों के बावजूद उसे पालतू नहीं बनाया जा सका था।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Question 10.
What was Toto’s first mischief in the writer’s house ?
लेखक के घर में टोटो की पहली शरारत क्या थी ?.
Answer:
Toto was tied to a peg in a little closet in the writer’s bedroom. He tore away the ornamental wallpaper there. He wrenched the peg and tore the writer’s school blazer into shreds.

टोटो को लेखक के सोने के कमरे में एक छोटी-सी कोठरी में एक खूँटी से बाँधा गया था । उसने वहाँ लगे सजावटी वॉलपेपर को फाड़ दिया । उसने खूँटी को उखाड़ दिया और उसने लेखक के ब्लेज़र को फाड़कर तार-तार कर दिया ।

Question 11.
Toto and Nana could never became friends, why?
टोटो और नाना कभी मित्र नहीं बन सके । क्यों ?
Answer:
Toto was mischievous by nature. He took pleasure in troubling others. The very first day when he was kept with Nana, he dug his sharp teeth into Nana’s long ears. So Nana was annoyed with Toto, and thus they could never became friends.

टोटो स्वभाव से शरारती था । उसे दूसरों को परेशान करने में आनंद आता था। पहले ही दिन जब उसे नाना के साथ रखा गया, उसने अपने नुकीले दाँत नाना के लंबे कानों पर गड़ा दिये । इसलिए नाना टोटो से नाराज, हो गयी, अतः वे दोनों कभी मित्र नहीं बन सके ।

Answer the following questions in about 60 words each:

निम्नलिखित प्रत्येक प्रश्न का उत्तर लगभग 60 शब्दों में दीजिये :

Question 1.
How do you know that grandfather was a great lover of animals? Where did he keep Toto?
आप कैसे जानते हैं कि दादाजी जानवरों के अत्यधिक प्रेमी थे? उन्होंने टोटो को कहाँ पर रखा था ?
Or
What animals did grandfather keep in his private zoo?
दादाजी अपने निजी चिड़ियाघर में कौन, से जानवर रखते थे ?
Answer:
Grandfather was a great lover of animals. He had a private zoo in which there were various pets. He cared for all his pet animals. In his private zoo, he had a pair of rabbits, a tortoise, a squirrel, a goat, a donkey named ‘Nana’ and a monkey named Toto. He kept the donkey in the stable and the rest of the animals in a big cage in the servants’ quarters. These animals lived very sociably together.

दादाजी जानवरों के अत्यधिक प्रेमी थे । उनका निजी चिड़ियाघर था जिसमें विभिन्न प्रकार के पालतू जानवर थे। वह अपने सभी पालतू जानवरों की देखभाल करते थे । उनके अपने निजी चिड़ियाघर में एक जोड़ा खरगोश, एक कछुआ, एक गिलहरी, एक बकरी, एक नाना नामक गधी और एक बन्दर टोटो था । वह (दादाजी) गधी को अस्तबल में और शेष जानवरों को एक बड़े पिंजरे में नौकरों के आवास भवन में रखते थे।ये सभी जानवर आपस में मिल-जुलकर रहते थे।

Question 2.
How was Toto’s presence kept a secret from the author’s grandmother? What did Toto do at that time?
लेखक की दादी माँ से टोटो की उपस्थिति किस प्रकार गुप्त रखी गयी ? टोटो ने उस समय क्या किया ? ‘
Answer:
The author’s grandmother always fussed when grand father brought home a new animal or a bird. Grandfather decided that Toto’s presence should be kept a secret. Toto was kept in a little closet in the author’s bedroom, tied to a peg. Although Toto was tied securely but he pulled out the peg and tore the ornamental wallpaper. He also tore the author’s blazer into pieces. He also scratched off the plaster from the walls of the closet.

जब भी दादाजी किसी नये जानवर या पक्षी को घर लेकर आते थे, तो लेखक की दादी हमेशा बखेड़ा खड़ा कर देती थीं । दादाजी ने यह निश्चय किया गया कि टोटो की उपस्थित को गुप्त रखा जाए । टोटो को लेखक के शयन कक्ष में एक छोटी-सी कोठरी में एक खूँटी से बाँध कर रखा गया था । टोटो को सुरक्षापूर्वक बाँधा गया था, परन्तु टोटो ने खूंटी को उखाड़ दिया और दीवार के सजावटी कागज़ को फाड़ दिया । उसने लेखक के ब्लेजर को भी फाड़कर टुकड़े-टुकड़े कर दिया । उसने कोठरी की दीवारों का प्लास्टर भी उखाड़ डाला था।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Question 3.
How was Toto an expensive deal for grandfather ?
दादाजी के लिऐ टोटो किस प्रकार एक मँहगा सौदा था ?
Answer:
Grandfather had bought Toto for five rupees only. Since his arrival, he had started damaging the things in the house. The very first day he pulled out a peg. He tore the ornamental wall papers and ruined the closet. He tore the author’s blazer into shrads. He terrified other animals in the cage. He hurt the donkey badly. He not only tore the curtains and the dresses but also broke many plates and other things in the house. Thus, Toto was an expensive deal for grandfather.

दादाजी ने टोटो पाँच रुपये में खरीदा था। उसने आते ही घर में रखी वस्तुओं को नुकसान पहुँचाना शुरू कर दिया । पहले दिन ही उसने खूंटी उखाड़ दी और दीवार का सजावटी कागज फाड़ डाला था । कोठरी की दीवारों का प्लास्टर उखाड़ डाला था और लेखक का कोट फाड़ दिया। उसने पिंजरे के दूसरे जानवरों को डराया । उसने गधी को बुरी तरह सताया । उसने न केवल घर के पर्दे तथा कपड़े फाड़ दिए बल्कि अनेक प्लेटें तथा घर का अन्य सामान भी तोड़-फोड़ दिया था । इस प्रकार, दादाजी के लिए टोटो एक मँहगा सौदा था ।

Question 4.
What happened when Toto was taken to Saharanpur ? Describe briefly.
जब टोटो को सहारनपुर ले जाया गया, तो क्या हुआ ? वर्णन कीजिये ।
Answer:
The author’s grandfather took Toto to Saharanpur. He put him in a strong big canvas bag. He put straw at the bottom of the bag. Toto remained in the bag peacefully as far as Saharanpur. But at the Saharapur railway station, Toto suddenly poked his head out of the bag and gave the ticket-collector a wide grin. Getting irritated by this the ticket- collector classified Toto as a dog and he charged fare for the dog, even after grandfather told him a number of the times that Toto was a monkey, not a dog.

लेखक के दादाजी टोटो को सहारनपुर ले गये । उन्होंने उसे मजबूत कैनवास के कपड़े से बने बड़े बैग में रखा । उन्होंने बैग की तली में घास-फूस डाला । टोटो सहारनपुर तक बैग में शान्तिपूर्वक रहा । परन्तु सहारनपुर रेलवे स्टेशन पर टोटो ने अचानक बैग से बाहर अपना सिर निकाला और टिकिट कलेक्टर को अपने दाँत दिखाये । उसकी इस हरकत से चिढ़कर उसने दादाजी की लाख मिन्नतों के बावजूद टोटो को बन्दर के स्थान पर कुत्ता माना और उनसे कुत्ते के लिए रेलवे – भाड़ा वसूल किया।

Question 5.
Describe the adventures of Toto in brief.
टोटो के कारनामों का संक्षेप में वर्णन कीजिये ।
Answer:
Toto was a mischievous monkey. At first, he was put in a closet tied to a peg. But Toto wrenched the peg from its socket and tore the wallpaper as well as the writer’s school blazer. He also destroyed everything in the closet where he was kept the first day.

In the private zoo, Toto did not let other animals sleep for the whole night. Toto troubled the family donkey, Nana, by digging his sharp teeth into her ears. Toto also created mess at the dining table while eating ‘pullao’ and he threw the plate to wards grand-mother to hit her.

टोटो एक शरारती बंदर था । सर्वप्रथम, उसे एक छोटी सी कोठरी में एक खूँटी से बाँधकर रखा लेकिन टोटो ने खूँटी को इसके फंसाने के स्थान से उखाड़ दिया और दीवार का कागज तथा लेखक का स्कूल का कोट फाड़ दिया । उसने उस कोठरी की प्रत्येक वस्तु तहस-नहस कर दी जिसमें उसे पहले दिन रखा गया था। गया. निजी चिड़ियाघर में भी टोटो ने सारी रात दूसरे जानवरों को सोने नहीं दिया। टोटो ने परिवार की गधी, नाना के कानों में अपने पैने दाँत गड़ा दिये । टोटो ने खाने की मेज पर भी गड़बड़ी कर दी थी जब वह वहाँ रखा पुलाव खाने लगा था । उसने दादी जी को मारने के लिए उनकी ओर प्लेट भी फेंकी थी।

Question 6.
What chaos did Toto create in the dining room ?
भोजन कक्ष के अन्दर टोटो ने क्या अफरा-तफरी मचाई ?
Or
What did Toto do with the large dish of ‘pullao’ ?
टोटो ने पुलाव की बड़ी प्लेट के साथ क्या किया ?
Answer:
When Toto entered into the dining room the lunch was kept on the dining table. From the dining table Toto picked up the large plate of ‘pullao’ and started eating it. When grandmother saw this, she screamed. Toto threw a plate at her. When the writer’s aunt rushed forward towards him, Toto threw a glass of water on her. When grandfather arrived, Toto ran out of the window taking the Pullao plate and climbed on the jackfruit tree to eat the ‘pullao’. Finally, he broke it.

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

जब टोटो भोजन कक्ष में घुसा, दोपहर का भोजन मेज पर था । टोटो ने पुलाव की बड़ी प्लेट उठाई और चावल खाना शुरू कर दिया । जब दादी माँ ने यह देखा तो वह चिल्लाईं। टोटो ने एक प्लेट उनके ऊपर फेंक दी । लेखक की बुआ उसकी ओर बढ़ी, टोटो ने उनके ऊपर पानी का एक गिलास फेंक दिया । जब दादाजी पहुँचे, तो टोटो चावल की प्लेट लेकर खिड़की से बाहर भाग गया और पुलाव खाने के लिए कटहल के पेड़ पर चढ़ गया और अंत में इसे तोड़ दिया।

The Adventures of Toto Summary and Translation in Hindi

About the Story 

क्या आपने कभी एक बन्दर के बच्चे को पालतू पशु के रूप में रखा है । टोटो एक बन्दर का बच्चा है । आइये, पता लगायें कि वह शरारती है अथवा विनीत ।

Word-Meanings And Hindi Translation

Grandfather bought ………….. his hands. (Page 7)

Meanings : bought (बॉट् ) = खरीदा | sum (सम्) = an amount of money, धन राशि | tied (टाइड्) बाँधा हुआ । feeding trough ( फीडिंग् ट्रॉफ) = a container in which animals eat or drink, place (आउट् ऑव प्लेस) = अनुपयुक्त, असंगत | decided ( डिसाइडिड् ) = made up the mind, निश्चय किया। add (ऐड) = जोड़ना, हिस्सा बनाना । fellow (फेलो) = creature, प्राणी ।pretty (प्रिटि) = beautiful, सुन्दर । bright (ब्राइट् ) = shiny, चमकीली । sparkled (स्पा:कल्ड् ) = shone brightly, चमकती थीं । mischief ( मिसचिफ्) = naughtiness, शरारत, शैतानी । beneath (बिनीथ) = under, नीचे । deep-set( डीप सेट् ) = thick, घनी । eye-brows ( आईब्रोज) = भौंहें । pearly (पॅलि) = pearl like, मोती जैसे ।

often (ऑफन् ) = अक्सर | displayed (डिस्प्लेड्) = showed प्रदर्शित करते थे । smile (स्माइल) मुस्कुराहट। frightened the life out of elderly Anglo-Indian ladies = वृद्ध आंग्ल-भारतीय स्त्रियों की डर से जान निकल जाती थी। dried-up (ड्राइड्- अप्) = सूखे । as though ( ऐज़ दो) = जैसे कि, मानो । pickled (पिकल्ड) = dried like pickle, अचार की भाँति सुखाये गये ।

quick (क्विक्) = very fast, तेजी से काम करने वाली । wicked (विकिड्) = naughty, शैतान, दुष्ट | adding (ऐडिंग्) = बढ़ाती हुई । believed (बिलीव्ड् ) = had trust, विश्वास करते थे । served ( सर्ल्ड) = worked, काम करती थी । hang ( हैं ) = लटकना । branch (ब्रांच्) = शाखा, डाली । capable (कैपेब्ल्) = able, समर्थ, लायक । scooping up ( स्कूपिंग् अप् ) = निकाल लेना। delicacy(डेलिकेसि ) = tasty eatable, खाने की स्वादिष्ट वस्तु | out of reach ( आउट ऑव रीच्) = पहुँच के बाहर !

हिन्दी अनुवाद – दादाजी ने टोटो को एक ताँगा चलाने वाले से पाँच रुपये में खरीदा था । ताँगा चलाने वाला इस छोटे-से लाल बन्दर को एक नाँद से बाँधकर रखता था और बन्दर वहाँ इतना असंगत-सा लगता था कि दादाजी ने इस छोटे-से प्राणी को अपने स्वयं के चिड़ियाघर में शामिल करने का निश्चय किया ।

टोटो एक सुन्दर बन्दर था । उसकी घनी भौंहों के नीचे उसकी चमकीली आँखें शरारत से चमकती थीं, और उसके मुस्कराते समय दिखाई देने वाले मोती जैसे सफ़ेद दाँत देखकर वृद्ध आंग्ल-भारतीय स्त्रियों की डर के मारे जान ही निकल जाती थी । परन्तु उसके हाथ ऐसे सूखे हुए थे मानो उन्हें अनेक वर्षों तक धूप में अचार की तरह सुखाया गया. हो । फिर भी उसकी अँगुलियाँ बहुत तेज व शरारती थीं; और उसकी पूँछ उसकी सुन्दरता को बढ़ाने के साथ-साथ ( दादाजी का विश्वास था कि पूँछ से किसी की सुन्दरता बढ़ती है) एक तीसरे हाथ का भी कार्य करती थी; वह इसे किसी शाखा से लटकने के लिए काम में लिया करता था, और यह उसके हाथों की पहुँच के बाहर रखी हुई किसी भी खाने की स्वादिष्ट वस्तु को निकाल लाने में समर्थ थी ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Grandmother always …………….. Toto’s performance. (Pages 7-8)

Meanings: fussed (फ़स्ट् ) = made a big issue out of a small thing, बतंगड़ बना देती थीं, बखेड़ा खड़ा कर देती थीं । brought (ब्रॉट्) = लाते थे । was decided (वॉज़ डिसाइडिड् ) = निश्चय किया गया । presence (प्रेज्न्स्) = उपस्थिति । secret (सीक्रिट् ) = something hidden, गुप्त, रहस्य | until ( अन्टिल्) जब तक…. नहीं। particularly (पॅ: टिक्युलॅ: लि) = especially, विशेष रूप से । put away ( पुट् अवे) = अलग रखा। little (लिट्ल्) : छोटा-सा । closet (क्लोज़ेट) = छोटी कोठरी । securely (सिक्युॲ: लि) = tightly, कसंकर, सुरक्षित रूप से । so (सो) = ऐसा । thought (थॉट्) = सोचा । peg (पेग्) = खूँटी । fastened (फासन्ड्) = set, गढ़ी हुई । later (लेटॅ(र)) = बाद में । release (रिलीज़) make free, मुक्त करना, छोड़ना । covered (कवर्ड) ढकी हुई ।

ornamental (ऑ:नमॅण्टल्) for the decoration, सजावटी । chosen (चोज़न् ) = selected, चुने गये | stood out (स्टुड् आउट्) = खड़ी हुई थी | naked (नेकिड्) = uncovered, खुला हुआ, उघड़ा हुआ । brick ( ब्रिक् ) = ईंट | wrenched (रेन्ट) खींचकर बाहर निकाला । socket (सॉकिट्) = गर्तिका, फँसाने का स्थान । ‘lazer (ब्लेजर) = an upper garment, ब्लेजर | shreds (श्रेड्ज़) = torn to threads, तार-तार | wondered (वन्डर्ड) = thought in wonder, आश्चर्य से सोचा । worry (वरि) चिन्ता करना । seemed (सीम्ड्) = looked, लगे, प्रतीत हुए । pleased (प्लीज़्ड) = happy, प्रसन्न, आनन्दित । performance (पॅ:फॉमन्स्) = act, प्रदर्शन, कार्य-निष्पादन ।

हिन्दी अनुवाद – दादाजी जब भी कोई नया पक्षी या जानवर घर लाते थे तो दादीजी हमेशा बखेड़ा खड़ा कर देती थीं । इसलिए यह निश्चय किया गया कि जब तक दादीजी विशेष रूप से अच्छे मूड (मनःस्थिति) में न हों, तब तक टोटो की उपस्थिति को गुप्त रखा जाये । दादाजी और मैंने उसे (टोटो को) अलग एक छोटी कोठरी में रख दिया जिसका दरवाजा मेरे शयनकक्ष में खुलता था जहाँ पर उसे दीवार में गढ़ी एक खूँटी से कसकर बाँध दिया गया अथवा हमने ऐसा समझा कि उसे कसकर ही बाँध दिया गया था ।

कुछ घंटे बाद जब दादाजी और मैं टोटो को खोलने के लिए वापिस आये तो हमने पाया कि दादाजी द्वारा चुने हुए कुछ सजावटी कागजों से ढकी हुई दीवारें अब खुली हुई ईंट व प्लास्टर के रूप में थीं। दीवार में लगी खूँटी को अपने समान (गर्तिका) से खींचकर बाहर निकाल दिया गया था और मेरा स्कूल यूनिफोर्म का ब्लेजर जो वहाँ लटका हुआ था, तार-तार हो चुका था । मैंने सोचा कि पता नहीं दादी जी क्या कहेंगीं । परन्तु दादाजी को चिन्ता नहीं हुई; वह टोटो के इस कारनामे पर खुश प्रतीत हुए ।

“He’s clever,”…………. take him along. (Page 8)

Meanings: clever ( क्लेवर) = चतुर । given time (गिविन् टाइम )= समय मिलता तो। torn (टॉर्न) = फटे हुए । pieces (पीसिज्) = टुकड़े । rope (रोप्) = रस्सी । escape (एस्केप्) = coming out safe, बच निकलना। still (स्टिल्) = till now, अभी तक । secret (सीक्रिट्) = hidden, गुप्त । transferred (ट्रैन्स्फर्ड) = shifted, स्थान बदल दिया गया । cage (केज) = पिंजरा । a number of (अ नम्बर ऑव्) = several, कई । vets ( पेट्स) = domestic animals, पालतू पशु । sociably (सोश्येब्लि) = मिल-जुलकर ।

together (ट्गेदर) = with one another, साथ-साथ। tortoise ( टॅ:टॉइज़) = कछुआ । pair (पेअॅ(इ)) = जोड़ा । rabbits (रैबिट्स्स्) = खरगोश । ( टेम् )= domestic, पालतू । squirrel (स्क्विर्) = गिलहरी । for a while (फॉर अ व्हाइल) = for some time, कुछ समय के लिए 1 allow (अलाउ )= अनुमति देना। companions (कम्पेन्यन्ज़् )= those who live together, साथी । collect (कलेक्ट् ) = (here) take, लेना । along (अलाँग्) = साथ में ।

हिन्दी अनुवाद – दादाजी बोले, “वह चतुर है, मुझे विश्वास है कि यदि समय मिलता तो वह तुम्हारे ब्लेजर के फटे हुए टुकड़ों को बाँधकर एक रस्सी बना लेता और खिड़की के रास्ते बचकर निकल जाता !” घर में उसकी उपस्थिति अब भी गुप्त थी (किसी को उसके बारे में पता नहीं था), अब टोटो को एक बड़े पिंजरे में नौकरों के क्वार्टरों में रख दिया गया जहाँ दादाजी के कई पालतू पशु-पक्षी साथ-साथ मिल-जुलकर रहते थे जिनमें एक कछुआ, खरगोशों का एक जोड़ा, एक पालतू गिलहरी, और कुछ समय के लिए, मेरी पालतू बकरी थे । लेकिन वह बन्दर’ अपने किसी भी साथी को रात में सोने नहीं दिया करता था। दादाजी को अगले दिन अपनी पेंशन लेने देहरादून से सहारनपुर जाना था, इसलिए उन्होंने उसे (टोटो) अपने साथ ले जाने का निश्चय किया।

Unfortunately ………….. railway platform. (page -8 )

Meanings: (अन्फॉ :च्यनेट्लि) = unluckily, दुर्भाग्य से । accompany (अकम्पनि) = being together, साथ होना । trip ( ट्रिप् ) = tour, दौरा, यांत्र । afterwards (आफ्टॅ:वड्ज्ज़् Y= later on, बाद में। canvas ( कैनवस् ) = a thick cloth, एक प्रकार का मोटा कपड़ा, तिरपाल । próvided (प्रॅवाइडिड्) = उपलब्ध करखफ्रा गया । straw ( स्ट्रॉ) = पुआल । bottom (बॉटम् )= lowest part, तली । abode-(अबोड् ) = place to live, रहैे का स्थान, घर। closed (क्लोज्ड) = बन्द । escape (एस्केप्) = coming out, बच निकलना। bite (बाइट्) = दाँतों से काटना । efforts (इफ़ॉं:टज्) = áttempts, प्रयास, कोशिशें । effect (इफैक्ट) = प्रभाव । roll

हिन्दी अनुवाद – अन्ततः जब दादी माँ के द्वारा टोटो को स्वीकार कर लिया गया तो उसे अस्तबल में रहने के लिए एक आरामदायक घर दे दिया गया जहाँ ‘नाना’ नामक परिवार की गधी, उसकी साथी थी । जब टोटो की अस्तबल में पहली रात्रि थी तो दादाजी यह देखने के लिए गये कि क्या वह आराम से है । वह यह देखकर आश्चर्यचकित रह गये कि नाना बिना किसी स्पष्ट कारण के अपने गले के पट्टे को खींच रही थी और अपने सिर को भूसे के एक बण्डल से अधिक से अधिक दूर रखने की कोशिश कर रही थी । दादाजी ने नाना के पुट्ठों पर एक थपकी लगाई और वह झटके से पीछे हटी, उसके साथ टोटो भी घिसटता हुआ आया । वह नाना के लम्बे कानों पर अपने तीखे छोटे-छोटे दाँत गढ़ाकर उनसे चिपटा हुआ था। टोटो और नाना में कभी मित्रता नहीं हुई ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Meanings: great treat (ट्रीट) = आवभगत, खातिरदारी । during ( ड्यूरिंग) = दौरान । large (ला:ज्) = big, बड़ा । bowl (बोल् ) = कटोरा । cunningly (कनिंग्लि) with cleverness, चालाकी से । test (टेस्ट्) = assess, जाँचना । temperature (टेम्परेचॅ(र्)) = level of heating, तापमान । gradually (ग्रेज्युअलि ) slowly, by and by, धीरे-धीरे । step into (स्टेप इनटु) = go inside, अन्दर कदम रखना, घुसना । comfortable . (कम्फे : टेब्ल ) = feeling relaxed, आराम महसूस करना । rub (रब) = रगड़ना | all over (ऑल ओवर) = on the whole body, पूरे शरीर पर | get out (गेट् आउट् ) = come out, बाहर आना । quickly (क्विक्लि ) = fast, तेजी से । performance (पॅ: फॉमन्स) कार्य निष्पादन, प्रदर्शन | hurt (हॅ:ट् ) = आहत होना । refuse (रिफ्यूज़) deny, मना कर देना । nearly (निअॅलि) = almost, लगभग । succeeded ( सक्सीडिड्) = सफल हो गया । boiling (बॉयलिंग्) = उबालना।

हिन्दी अनुवाद – सर्दियों में शाम के समय में टोटो की एक बड़ी आवभगत ( खातिरदारी) यह होती थी कि दादीजी उसे एक बड़े से कटोरे में नहाने का गर्म पानी देती थीं। वह चालाकी से हाथ से इसके तापमान को जाँचता । पहले वह एक पैर स्नान के बर्तन में रखता और फिर दूसरा (जैसा कि उसने मुझे करते हुए देखा था) और इस प्रकार धीरे-धीरे स्नान के बर्तन में घुस जाता, जब तक कि पानी उसकी गर्दन तक नहीं आ जाता था। एक बार आराम महसूस होने पर वह अपने हाथों या पैरों में साबुन लेता और अपने पूरे शरीर को रगड़ता । जब पानी ठण्डा हो जाता तो वह (पानी के बर्तन में से) बाहर निकल जाता और खुद को सुखाने के लिए पूरी तेजी से चूल्हे की ओर दौड़ता । अगर दौरान कोई उस पर हँस पड़ता तो उसकी भावनाएँ आहत होतीं और वह आगे स्नान करने से एक दिन तो टोटो ने अपने-आपको लगभग जिन्दा ही उबाल लिया होता । टोटो की इस क्रिया के इन्कार कर देता था ।

A large ….. out of the kettle. (Pages 9-10)

Meanings : remove (रिमूव ) = हटाना | lid (लिड) = ढक्कन | warm (वा:म्) गर्म । got in (गॉट इन ) went in, अन्दर चला गया । sticking out (स्टिकिंग आउट) = बाहर निकाले हुए। for a while (फॉर अ व्हाइल ): for some time, कुछ समय के लिए । raised himself a little = थोड़ा-सा उठा । continued (कन्टिन्यूड ) kept on, जारी रखा । hopping (हॉपिंग) = फुदकते हुए | arrived (अराइव्ड) = पहुँचीं | hauled (हॉल्ड) pulled, खींचा, निकाला ।

हिन्दी अनुवाद – रसोई में आग पर एक बड़ी केतली में चाय के लिए पानी उबलने को रखा गया था और टोटो को जब अच्छा करने के लिए कुछ और नहीं सूझा तो उसने ढक्कन हटाने की सोची। पानी को नहाने लायक गर्म पाकर वह उसमें घुस गया और अपना सिर खुली हुई केतली से बाहर निकाले रखा। कुछ समय तक तो यह ठीक-ठाक रहा, जब तक कि पानी उबलने नहीं लगा । टोटो थोड़ा-सा उठा लेकिन बाहर ठण्ड महसूस करके फिर नीचे बैठ गया। वह कुछ देर तक ऊपर-नीचे फुदकता रहा जब तक कि दादी माँ वहाँ नहीं पहुँचीं और उस आधे उबले हुए (टोटो) को केतली से बाहर नहीं निकाला |

If there is a part ….. three rupees. (Page 10)

Meanings: brain (ब्रेन्) मस्तिष्क । especially (इस्पेश्यलि ) = खासतौर से । devoted (डिवोटिड) = given दिया हुआ, अर्पित । mischief (मिस्चिफ़) = naughtiness, शरारत । developed (डिवेलप्ट्) = grown, विकसित | tearing to pieces (टिअरिंग् टु पीसिज) = फाड़ना, तोड़ना-फोड़ना । effort (एफ़्ट) = attempt, प्रयास, कोशिश ।’ get hold of (गेट होल्ड ऑव्) = catch, पकड़ना । hole (होल्) = opening, छेद।’ about (रॉल अबाउट ) = लुढ़कना । floor (फ़्लोर) = फर्श । occasionally (अकेश्ज़नलि) = now and then, कभी-कभी । jump (जम्मू) = उछलना । exhibition ( एग्ज़िहिबिशन) = प्रदर्शनी । attracted (अट्रैक्टिड् ) = drew attention, ध्यान आकर्षित करता था । curious (क्युरिअस्) = उत्सुक । onlookers ( ऑनलुकॅ: ज्) = spectators, दर्शक |

हिन्दी अनुवाद – दुर्भाग्य से, मैं उस यात्रा पर दादाजी के साथ नहीं जा सका था, लेकिन उन्होंने लौटने के बाद मुझे इसके बारे में बताया । टोटो के लिए एक बड़ा-सा कैनवस का किट बैग (झोला) उपलब्ध कराया गया। इसकी तली में कुछ पुआल रख दिया गया और यह उसका (टोटो का) नया घर बन गया । थैले के बन्द हो जाने पर बच निकलने का कोई रास्ता नहीं था । खुलने वाली जगह से टोटो हाथ बाहर नहीं निकाल सकता था और कैनवस इतना मजबूत था कि टोटो उसे दाँतों से काटकर बाहर नहीं निकल सकता था । बाहर निकलने के उसके प्रयासों का केवल इतना परिणाम ही होता कि या तो थैला जमीन में लुढ़कता या कभी – कभी हवा में उछलता यह एक ऐसी प्रदर्शनी थी जिसने देहरादून रेलवे प्लेटफार्म पर दर्शकों की उत्सुक भीड़ का ध्यान आकर्षित किया ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Toto remained ……….. is not a dog. (Page 8)

Meanings : remained (रिमेण्ड्) = stayed, रहा । producing (प्रॅड्यूसिंग) = showing, दिखा रहे, प्रस्तुत कर रहे । turnstile (टॅन्स्टाइल्) = घूमने वाला दरवाजा | suddenly (सड़न्लि) = अचानक | poked (पोक्ट्) pushed quickly, बाहर निकाला । wide (वाइड) = big, बड़ी-सी । grin (ग्रिन ) = mischievous smile, शरारत – भरी मुस्कुराहट । gave a wide grin = दाँत दिखाये । was taken aback (वॉज़ टेकन् अबैक्) = was shocked, चौंक गया । presence of mind (प्रेज़्न्स् ऑव् माइण्ड्) = wisdom, बुद्धिमत्ता, सूझबूझ | annoyance (अनॉयन्स्) = anger, क्रोध, चिढ़ | accordingly (अर्कोॉ: डिंग्लि ) = properly, as per rules, नियमानुसार | in vain (इन् वेन्) = of no use, व्यर्थ ही । prove (प्रूव् ) = सिद्ध करना ।

qualify (क्वालिफाई) – योग्यता रखना। quadruped (क्वाड्रपेड) = four-footed animal, चौपाया, पशु । classified ( क्लासीफाइड) = put in the class of, के वर्ग में रखा गया । handed over (हैन्डिड् ओवॅ (र)) = given दी गई । fare (फेॲ(र)) ( यात्रा का ) किराया । get his own back (गेट हिज़ ओन बैक) = अपनी बात ऊपर रखना । charge (चार्ज ) = (यहाँ) किराया वसूलना । closely (क्लोज़लि) = attentively, ध्यानपूर्वक । prodded (प्रॉडिड) = pushed, कुछ ज़ोर से छूकर देखा । forefinger (फो: फिंगर) तर्जनी उँगली । pleased ( प्लीज्ड) = happy, सुखदायक । triumphant (ट्राइअम्फण्ट) = having a sense of victory, विजयी ।

हिन्दी अनुवाद – सहारनपुर पहुँचने तक टोटो थैले में रहा, लेकिन जब दादाजी रेलवे स्टेशन के घूमने वाले दरवाजे पर अपनी टिकिट दिखा रहे थे तभी अचानक टोटो ने बैग से अपना सिर बाहर निकाला और टिकिट – कलैक्टर को अपने दाँत दिखाए । वह बेचारा चौंक गया; परन्तु फिर अपनी सूझबूझ से काम लेकर और दादाजी को बहुत अधिक क्रोधित करते हुए उसने कहा, ” श्रीमान्, आपके साथ एक कुत्ता है । आपको नियमानुसार इसका किराया देना होगा ।” व्यर्थ में ही दादाजी ने टोटो को थैले से बाहर निकाला; व्यर्थ ही यह सिद्ध करने की कोशिश की कि एक बन्दर एक कुत्ते या चौपाये का स्थान नहीं ले सकता ।

टिकिट कलेक्टर द्वारा टोटो को कुत्ते की श्रेणी में रखा गया तथा (दादाजी को) उसके किराये के तीन रुपये देने पड़े । तब दादाजी ने अपनी बात ऊपर रखने के लिए अपनी जेब से पालतू कछुआ निकाला और कहा, “मुझे इसका क्या किराया देना होगा, क्योंकि तुम सभी जानवरों का किराया लेते हो ?” टिकिट कलेक्टर (संग्राहक) ने कछुए को ध्यान से देखा, उसे अपनी तर्जनी उँगली से दबाया और प्रसन्न व विजयी भाव से दादाजी से कहा, “कोई किराया नहीं । यह कुत्ता नहीं है । ”

When Toto was finally ……………. became friends. (Pages 8-9)

Meanings: finally (फाइनलि) = at last, अन्ततः । accepted (एक्सेप्टिड) = स्वीकार कर लिया गया । comfortable (कम्फ़्टेब्ल्) आरामदायक । stable ( स्टेब्ल्) = a place for horses to live, अस्तबल । companion (कम्पेनिअन) = who one lives / stays with, साथी । paid him a visit (पेड् हिम् अ विज़िट्) went to see him, उससे मिलने गये । surprise (सॅ: प्राइज़) = wonder, आश्चर्य । apparent (ॲपैरण्ट्) = clear, visible, स्पष्ट । cause (कॉज़) = reason, कारण । pulling (पुलिंग्) = खींचते हुए | halter (हॉल्टर) गले का पट्टा । hay (हे) = भूसा | slap (स्लैप्) = थप्पड़, थपकी । haunches (हॉन्विज्) = next part of the body,.. पुट्ठे। jerked back(जॅक्ट बैक्) = झटके से पीछे हटी । dragging (ड्रैगिंग) = pulling, खींचते हुए, घसीटते हुए।, fastened (फासन्ड्) = held tightly, गड़ाये हुए । sharp (शार्प ) = नुकीले । .

हिन्दी अनुवाद – अन्ततः जब दादी माँ के द्वारा टोटो को स्वीकार कर लिया गया तो उसे अस्तबल में रहने के लिए एक आरामदायक घर दे दिया गया जहाँ ‘नाना’ नामक परिवार की गधी, उसकी साथी थी । जब टोटो की अस्तबल में पहली रात्रि थी तो दादाजी यह देखने के लिए गये कि क्या वह आराम से है । वह यह देखकर आश्चर्यचकित रह गये कि नाना बिना किसी स्पष्ट कारण के अपने गले के पट्टे को खींच रही थी और अपने सिर को भूसे के एक बण्डल से अधिक से अधिक दूर रखने की कोशिश कर रही थी । दादाजी ने नाना के पुट्ठों पर एक थपकी लगाई और वह झटके से पीछे हटी, उसके साथ टोटो भी घिसटता हुआ आया । वह नाना के लम्बे कानों पर अपने तीखे छोटे-छोटे दाँत गढ़ाकर उनसे चिपटा हुआ था। टोटो और नाना में कभी मित्रता नहीं हुई ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

Agreat treat …………… himself alive. (Pages 9-10)

Meanings: great treat (ट्रीट) = आवभगत, खातिरदारी । during ( ड्यूरिंग) = दौरान । large (ला:ज्) = big, बड़ा । bowl (बोल् ) = कटोरा । cunningly (कनिंग्लि) with cleverness, चालाकी से । test (टेस्ट्) = assess, जाँचना । temperature (टेम्परेचॅ(र्)) = level of heating, तापमान । gradually (ग्रेज्युअलि ) slowly, by and by, धीरे-धीरे । step into (स्टेप इनटु) = go inside, अन्दर कदम रखना, घुसना । comfortable . (कम्फे : टेब्ल ) = feeling relaxed, आराम महसूस करना । rub (रब) = रगड़ना | all over (ऑल ओवर) = on the whole body, पूरे शरीर पर | get out (गेट् आउट् ) = come out, बाहर आना । quickly (क्विक्लि ) = fast, तेजी से । performance (पॅ: फॉमन्स) कार्य निष्पादन, प्रदर्शन | hurt (हॅ: ट् ) = आहत होना । refuse (रिफ्यूज़) deny, मना कर देना । nearly (निअॅलि) = almost, लगभग । succeeded ( सक्सीडिड्) = सफल हो गया । boiling (बॉयलिंग्) = उबालना ।

हिन्दी अनुवाद – सर्दियों में शाम के समय में टोटो की एक बड़ी आवभगत ( खातिरदारी) यह होती थी कि दादीजी उसे एक बड़े से कटोरे में नहाने का गर्म पानी देती थीं। वह चालाकी से हाथ से इसके तापमान को जाँचता । पहले वह एक पैर स्नान के बर्तन में रखता और फिर दूसरा (जैसा कि उसने मुझे करते हुए देखा था) और इस प्रकार धीरे-धीरे स्नान के बर्तन में घुस जाता, जब तक कि पानी उसकी गर्दन तक नहीं आ जाता था। एक बार आराम महसूस होने पर वह अपने हाथों या पैरों में साबुन लेता और अपने पूरे शरीर को रगड़ता । जब पानी ठण्डा हो जाता तो वह (पानी के बर्तन में से) बाहर निकल जाता और खुद को सुखाने के लिए पूरी तेजी से चूल्हे की ओर दौड़ता । अगर दौरान कोई उस पर हँस पड़ता तो उसकी भावनाएँ आहत होतीं और वह आगे स्नान करने से एक दिन तो टोटो ने अपने-आपको लगभग जिन्दा ही उबाल लिया होता ।
टोटो की इस क्रिया के इन्कार कर देता था ।

A large …………… out of the kettle. (Pages 9-10)

Meanings:remove (रिमूव ) = हटाना | lid (लिड) = ढक्कन | warm (वा:म्) गर्म । got in (गॉट इन ) went in, अन्दर चला गया । sticking out (स्टिकिंग आउट) = बाहर निकाले हुए। for a while (फॉर अ व्हाइल ) : for some time, कुछ समय के लिए । raised himself a little = थोड़ा-सा उठा । continued (कन्टिन्यूड ) kept on, जारी रखा । hopping (हॉपिंग) = फुदकते हुए | arrived (अराइव्ड) = पहुँचीं | hauled (हॉल्ड) pulled, खींचा, निकाला ।

हिन्दी अनुवाद – रसोई में आग पर एक बड़ी केतली में चाय के लिए पानी उबलने को रखा गया था और टोटो को जब अच्छा करने के लिए कुछ और नहीं सूझा तो उसने ढक्कन हटाने की सोची। पानी को नहाने लायक गर्म पाकर वह उसमें घुस गया और अपना सिर खुली हुई केतली से बाहर निकाले रखा। कुछ समय तक तो यह ठीक-ठाक रहा, जब तक कि पानी उबलने नहीं लगा । टोटो थोड़ा-सा उठा लेकिन बाहर ठण्ड महसूस करके फिर नीचे बैठ गया। वह कुछ देर तक ऊपर-नीचे फुदकता रहा जब तक कि दादी माँ वहाँ नहीं पहुँचीं और उस आधे उबले हुए (टोटो) को केतली से बाहर नहीं निकाला |

If there is a part ….. three rupees. (Page 10)

Meanings: brain (ब्रेन्) मस्तिष्क । especially (इस्पेश्यलि ) = खासतौर से । devoted (डिवोटिड) = given दिया हुआ, अर्पित । mischief (मिस्चिफ़) = naughtiness, शरारत । developed (डिवेलप्ट्) = grown, विकसित | tearing to pieces (टिअरिंग् टु पीसिज) = फाड़ना, तोड़ना-फोड़ना । effort (एफ़्ट) = attempt, प्रयास, कोशिश ।’ get hold of (गेट होल्ड ऑव्) = catch, पकड़ना । hole (होल्) = opening, छेद।’ stood (स्टुड) = was kept, रखी हुई थी । stuffing (स्टफिंग ) = filling upto the brim, हँसते हुए । screamed (स्क्रीम्ड) = shouted, चिल्लायीं । threw (थ्र्यू) = फेंक दी । rushed ( रश्ट्) = went in a haste, झपटीं । forward (फॉ: वर्ड) = आगे की ओर । received ( रिसीव्ड) = got, मिला । picked up (पिक्ट अप ) – उठाई ।

exit (इग्ज़िट ) = going out, बाहर निकलना । through (थ्रू) = by the way of, से होकर !. jackfruit (जैकफ्रूट) = कटहल । remained (रिमेण्ड) = stayed, रहा । determined (डिटॅ: मिण्ड् ) = having made up his mind, पक्का मन बनाये हुए | grain (ग्रेन) = अनाज (यहाँ ) चावल का दाना | spite (स्पाइट) = tease, चिढ़ाना। dish (डिश् ) = तश्तरी । chattered ( चैटर्ड) = talked quickly and continuously, चटर-पटर करने लगा, चहकने लगा | delight (डिलाइट) = happiness, प्रसन्नता । obviously (ऑब्विअस्लि) = clearly, स्पष्ट रूप से । sort (सॉ:ट) = type, kind, प्रकार | realised ( रियलाइज़्ड) = felt, महसूस किया । well-to-do (वेल-टू-डू) = very rich, बहुत धनी । afford (ॲफॉ: ड्) = to bear, वहन करना । frequent (फ्रीक्वन्ट) = very often, again and again, अक्सर, बार-बार curtains (क:टन्ज़) = पर्दे

‘हिन्दी अनुवाद – यदि मस्तिष्क का कोई ऐसा भाग होता है जो खासतौर से शरारत को अर्पित होता है तो टोटो में वह भाग अत्यधिक विकसित था । वह हमेशा वस्तुओं को तोड़ता – फोड़ता रहता था । जब भी मेरी कोई बुआ उसके निकट आतीं, वह उनके कपड़े पकड़ने की पूरी कोशिश करता और फाड़कर उनमें छेद कर देता । ने एक दिन दोपहर के भोजन के समय पुलाव की एक बड़ी-सी तश्तरी भोजन की मेज के बीच में रखी हुई थी। कमरे में घुसते ही हमने टोटो को चावल हँसते हुए देखा । मेरी दादी माँ चिल्लायीं- और टोटो ने एक प्लेट उन पर फेंक दी ।

JAC Class 9 English Solutions Moments Chapter 2 The Adventures of Toto

मेरी बुआ आगे की ओर झपटी-टोटो ने उनके मुँह पर पानी का एक गिलास फेंका। जब दादाजी पहुँचे, टोटो पुलाव की तश्तरी उठाई और एक खिड़की से होकर बाहर निकल गया । हमें वह कटहल के पेड़ की शाखाओं में बैठा हुआ मिला और तश्तरी अब भी उसके हाथों में थी । वह पूरी दोपहर वहीं रहा, धीरे-धीरे चावल खाता रहा, मानो कि उसने एक-एक दाना खत्म करने का पक्का मन बना रखा था । और फिर दादी माँ को चिढ़ाने के लिए जो कि उस पर चिल्लाई थीं, उसने तश्तरी पेड़ से नीचे फेंक दी और जब इसके सैकड़ों टुकड़े हो गये तो खुशी से चहकने लगा।

स्पष्ट ही है कि टोटो इस प्रकार का पालतू जानवर नहीं था जिसे हम लम्बे समय तक रख सकते । यहाँ तक कि दादाजी ने भी यह अनुभव किया । हम बहुत अधिक धनी नहीं थे और बार-बार बर्तनों, कपड़ों, पर्दों और वॉल पेपर के नुकसान का भार नहीं उठा सकते थे । इसलिए दादाजी ने उस ताँगा चलाने वाले को ढूंढा और टोटो को उसे वापस बेच दिया – केवल तीन रुपये में ।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2

Jharkhand Board JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 Textbook Exercise Questions and Answers.

JAC Board Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Exercise 9.2

प्रश्न 1.
आकृति में, ABCD एक समान्तर चतुर्भुज है, AE ⊥ DC और CF ⊥ AD है। यदि AB = 16 सेमी, AE = 8 सेमी और CF = 10 सेमी है, तो AD ज्ञात कीजिए।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 1
हल:
समान्तर चतुर्भुज का क्षेत्रफल = आधार × ऊँचाई
∴ समान्तर चतुर्भुज ABCD का क्षेत्रफल
= DC × AE (∵ AB = CD)
= AB × AE
= (16 × 8) सेमी2 = 128 सेमी2 ……….(i)
पुनः समान्तर चतुर्भुज ABCD में AD = BC, AD || BC के बीच की दूरी CF हो, तो
समान्तर चतुर्भुज ABCD का क्षेत्रफल = AD × CF
= (AD × 10) सेमी2 …..(ii)
समीकरण (i) एवं (ii) से,
AD × 10 = 128
∴ AD = \(\frac{128}{10}\) = 12.8 सेमी।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2

प्रश्न 2.
यदि E, F, G और H क्रमशः समान्तर चतुर्भुज ABCD की भुजाओं के मध्य बिन्दु हैं, तो दर्शाइए कि :
ar (EFGH) = \(\frac{1}{2}\)ar (ABCD).
हल:
दिया है : ABCD एक समान्तर चतुर्भुज है जिसमें बिन्दु E, F, G और H क्रमशः समान्तर चतुर्भुज की भुजाओं AB, BC, CD व DA के मध्य-बिन्दु हैं।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 2
सिद्ध करना है: ar (||gm EFGH) = \(\frac{1}{2}\)ar (||gm ABCD)
रचना: E और G को मिलाया।
उपपत्ति: ∵ ☐ABCD एक समान्तर चतुर्भुज है।
∴ AB = CD और AB || CD
∵ E, AB का मध्य-बिन्दु है और G, CD का मध्य-बिन्दु है।
AE = EB = \(\frac{1}{2}\)AB
और DG = GC = \(\frac{1}{2}\)CD
तब AE = DG और AE || DG
∴ ☐AEGD एक समान्तर चतुर्भुज है।
∵ ☐AEGD और ΔEGH उभयनिष्ठ आधार EG पर स्थित हैं। इनके शीर्ष A, D व H एक ही रेखा पर हैं जो EG के समान्तर है।
∴ ΔEGH का क्षेत्रफल = \(\frac{1}{2}\)समान्तर चतुर्भुज AEGD का क्षेत्रफल …. (1)
इसी प्रकार,
ΔEGF का क्षेत्रफल
= \(\frac{1}{2}\)समान्तर चतुर्भुज EBCG का क्षेत्रफल ….. (2)
समीकरण (1) व (2) को जोड़ने पर,
ΔEGH का क्षेत्रफल ΔEGF का क्षेत्रफल
= \(\frac{1}{2}\)समान्तर चतुर्भुज AEGD का क्षेत्रफल + \(\frac{1}{2}\)समान्तर चतुर्भुज EBCG का क्षेत्रफल
∴ ☐EFGH का क्षेत्रफल = \(\frac{1}{2}\),
[||gm AEGD का क्षेत्रफल + ||gm BECG का क्षेत्रफल]
= \(\frac{1}{2}\)समान्तर चतुर्भुज ABCD का क्षेत्रफल
अतः ar (||gm EFGH) = \(\frac{1}{2}\)ar (||gm ABCD).
इति सिद्धम्।

प्रश्न 3.
P और Q क्रमशः समान्तर चतुर्भुज ABCD की भुजाओं DC और AD पर स्थित बिन्दु हैं दर्शाइए कि :
ar (ΔAPB) = ar (BQC).
हल:
ΔAPB और समान्तर चतुर्भुज ABCD समान आधार AB पर और समान्तर रेखाओं AB और DC के मध्य स्थित हैं।
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 3
∴ ar (ΔAPB) = \(\frac{1}{2}\) ar (||gm ABCD) …..(i)
इसी प्रकार, ΔBQC और समान्तर चतुर्भुज ABCD समान आधार BC और समान समान्तर रेखाओं BC और AD के मध्य स्थित हैं।
∴ ar (ΔBQC) = \(\frac{1}{2}\)ar (||gm ABCD) …….(ii)
∴ समीकरण (i) एवं (ii) से,
ar (ΔAPB) = ar (ΔBQC) इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2

प्रश्न 4.
आकृति में, P समान्तर चतुर्भुज ABCD के अभ्यन्तर में स्थित कोई बिन्दु है। दर्शाइये कि:
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 4
(i) ar (ΔAPB) + ar (ΔPCD) = \(\frac{1}{2}\)ar (||gm ABCD)
(ii) ar (ΔAPD) + ar (ΔPBC) = ar (ΔAPB) + ar (ΔPCD)
हल:
AB व DC के समान्तर रेखाखण्ड EPF खींचा और AD व BC के समान्तर रेखाखण्ड GPH खींचा।
अब AGHD एक समान्तर चतुर्भुज है।
[∵ GH || DA और AG || DH]
इस प्रकार, HCBG, EFCD तथा ABFE समान्तर चतुर्भुज हैं।
(i) ΔAPB और समान्तर चतुर्भुज ABFE समान आधार AB पर और समान समान्तर रेखाओं AB और DC के मध्य स्थित हैं।
∴ ar (ΔAPB) = \(\frac{1}{2}\)ar(||gm ABFE) ….(i)
इसी प्रकार,
ar (ΔPCD) = \(\frac{1}{2}\)ar(||gm ECD) …..(ii)
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 5
∴ समीकरण (i) और (ii) को जोड़ने पर,
ar (ΔAPB) + ar (ΔPCD) = \(\frac{1}{2}\) [ar (||gm ABFE) + ar (||gm EFCD)]
= \(\frac{1}{2}\)ar (||gm ABCD) …..(iii)
इति सिद्धम्।

(ii) ΔAPD और समान्तर चतुर्भुज AGHD समान आधार AD पर और समान समान्तर रेखाओं AD और HG के मध्य स्थित हैं।
∴ ar (ΔAPD) = \(\frac{1}{2}\)ar (||gm AGHD) …..(iv)
इसी प्रकार,
ar (ΔPBC) = \(\frac{1}{2}\)ar (||gm GBCH) ……(v)
∵ समीकरण (iv) और (v) को जोड़ने पर
ar (ΔAPD) + ar (ΔPBC) = \(\frac{1}{2}\)[ar (||gm GHD)+ar (GBCH)]
= \(\frac{1}{2}\)ar (||gm ABCD) ……(vi)
समीकरण (iii) एवं (vi) से,
ar (ΔAPD) + ar (ΔPBC) = ar (ΔAPB) + ar (ΔPCD). इति सिद्धम्।

प्रश्न 5.
आकृति में, PQRS और ABRS समान्तर चतुर्भुज तथा X भुजा BR पर स्थित कोई बिन्दु है। दर्शाइए कि:
(i) ar (||gm PQRS) = ar (||gm ABRS)
(ii) ar (ΔAXS) = \(\frac{1}{2}\)ar (||gm PQRS).
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 6
हल:
(i) समान्तर चतुर्भुज PQRS और समान्तर चतुर्भुज ABRS समान आधार RS पर और समान समान्तर रेखाओं SR तथा PB के बीच स्थित हैं।
∴ ar (||gm PQRS) = ar (||gm ABRS) …..(i)
इति सिद्धम्।

(ii) ΔAXS और समान्तर चतुर्भुज ABRS समान आधार 45 पर और समान समान्तर रेखाओं AS और RB के बीच स्थित हैं।
∴ ar (ΔAXS) = \(\frac{1}{2}\)ar (||gm ABRS)
⇒ ar (ΔAXS) = \(\frac{1}{2}\)ar (||gm PQRS)
[भाग (i) से] इति सिद्धम्।

JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2

प्रश्न 6.
एक किसान के पास समान्तर चतुर्भुज PQRS के रूप का एक खेत है। उसने RS पर स्थित कोई बिन्दु A लिया और उसे P और Q से मिला दिया। खेत कितने भागों में विभाजित हो गया है ? इन भागों के आकार क्या हैं ? वह किसान खेत में गेहूं और दालें बराबर-बराबर भागों में अलग-अलग बोना चाहता है वह ऐसा कैसे कर सकता है ?
हल:
JAC Class 9 Maths Solutions Chapter 9 समान्तर चतुर्भुज और त्रिभुजों के क्षेत्रफल Ex 9.2 7
माना किसान के पास चित्रानुसार PQRS समान्तर चतुर्भुज के आकार का एक खेत है। किसान ने भुजा RS पर एक बिन्दु चुनकर उस P तथा Q से मिला दिया।
खेत तीन त्रिभुजाकार भागों में विभाजित हो गया है। ये भाग ΔPSA, ΔPAQ तथा ΔQAR हैं।
∵ किसान को गेहूँ और दालें बराबर क्षेत्रफलों में बोनी हैं, इसलिए P से सम्मुख भुजा SR पर PN लम्ब डाला गया है।
ΔPAQ का क्षेत्रफल = \(\frac{1}{2}\)PQ × PN
∵ PQRS एक समान्तर चतुर्भुज है। ∴ PQ = RS
तब ΔPAQ का क्षेत्रफल = \(\frac{1}{2}\)RS × PN, (∵ PQ = RS)
∴ ΔPAQ का क्षेत्रफल = \(\frac{1}{2}\)(SA + AR) × PN
= \(\frac{1}{2}\)SA × PN + \(\frac{1}{2}\)AR \(\frac{1}{2}\) × PN
= ΔPSA का क्षेत्रफल + ΔQAR का क्षेत्रफल
अतः किसान को ΔPAQ क्षेत्रफल में गेहूँ और ΔPSA
तथा ΔQAR के क्षेत्रफल में दालें बोनी चाहिए।

JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1

Jharkhand Board JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 Textbook Exercise Questions and Answers.

JAC Board Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Exercise 6.1

प्रश्न 1.
आकृति में, रेखाएँ AB और CD बिन्दु O पर प्रतिच्छेद करती हैं। यदि ∠AOC + ∠BOE = 70° है और ∠BOD = 40° है, तो ∠BOE और प्रतिवर्ती ∠COE ज्ञात कीजिए।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 1
हल:
OA तथा OB विपरीत किरणें हैं। OC रेखा AB पर खड़ी है।
∴ ∠AOC + ∠COB = 180° [रैखिक युग्म]
⇒ ∠AOC + ∠COE + ∠BOE = 180°
[∵ ∠COB = ∠COE + ∠BOE]
⇒ (∠AOC + ∠BOE) + ∠COE = 180°
⇒ 70° + ∠COE = 180°
[∵ ∠AOC + ∠BOE = 70° (दिया है)]
⇒ ∠COE = 180°- 70° = 110°
∴ प्रतिवर्ती ∠COE = 360°- 110° = 250°
∵ OC तथा OD विपरीत किरणें हैं OE, CD रेखा पर खड़ी है।
∴ ∠COE + ∠EOD = 180° [रैखिक युग्म]
⇒ ∠COE + ∠BOE + ∠BOD = 180°
⇒ 110° + ∠BOE + 40° = 180°
[∵ ∠COE = 110°, ∠BOD = 40° (दिया है)]
⇒ ZBOE = 180°- 110° – 40° = 30°
∴ ∠BOE = 30° तथा प्रतिवर्ती ∠COE = 250°.

JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1

प्रश्न 2.
आकृति में, रेखाएँ XY और MN बिन्दु O पर प्रतिच्छेद करती हैं। यदि ∠POY = 90° और a : b = 2 : 3 है, तो ज्ञात कीजिए ।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 2
हल:
a : b = 2 : 3
तथा a + b = ∠POX = ∠POY = 90°
तथा अनुपातों का योग 2 + 3 = 5
∴ a = \(\frac{2}{5}\) × 90° = 2 × 18° – 36°
तथा b = \(\frac{3}{5}\) × 90° = 3 × 18° = 54°
OM और ON विपरीत किरणें हैं। इसलिए MN एक रेखा है।
किरण OX, MN पर स्थित है, इसलिए
∠MOX + ∠XON = 180°, [रैखिक युग्म]
⇒ b + c = 180° ⇒ c + 54° = 180°
⇒ c = 180° – 54°
∴ c = 126°.

प्रश्न 3.
आकृति में, यदि ∠PQR = ∠PRQ है, तो सिद्ध कीजिए कि ∠PQS = ∠PRT है।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 3
हल:
QS और QR विपरीत किरणें हैं।
∵ QP, SR रेखा पर स्थित है।
∴ ∠PQS + ∠PQR = 180° [रैखिक युग्म] …(i)
पुन: RQ और RT विपरीत किरणें हैं।
∵ PR, QT रेखा पर स्थित है।
∴ ∠PRQ + ∠PRT = 180° [रैखिक युग्म] …(ii)
समीकरण (i) तथा (ii) से,
∠PQS + ∠PQR = ∠PRQ + ∠PRT …(iii)
∠PQR = ∠PRQ. [दिया है]… (iv)
समीकरण (iv) समीकरण (iii) से,
∠PQS = ∠PRT इति सिद्धम् ।

JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1

प्रश्न 4.
आकृति में, यदि x + y = w + z है, तो सिद्ध कीजिए कि AOB एक रेखा है।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 4
हल:
चूँकि एक बिन्दु के चारों ओर के कोणों का योग 360° होता है।
∴ (∠BOC + ∠COA) + (∠BOD + ∠AOD ) = 360°
⇒ (x + y ) + (w + z) = 360°
लेकिन x + y = w + z [दिया है]
∴ x + y = w + z = \(\frac{360^{\circ}}{2}\) = 180°
इसलिए ∠BOC तथा ∠COA, ∠BOD तथा ∠AOD रैखिक युग्म बनाते हैं। परिणामस्वरूप OA और OB दो विपरीत किरण हैं। इसलिए AOB एक सीधी रेखा है। इति सिद्धम्।

प्रश्न 5.
आकृति में, POQ एक रेखा है। किरण OR रेखा PQ पर लम्ब है। किरणों OP और OR के बीच में OS एक अन्य किरण है। सिद्ध कीजिए:
∠ROS = \(\frac{1}{2}\)(∠QOS – ∠POS).
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 5
हल:
∵ OR रेखा PQ पर लम्ब है।
∠POR = ∠ROQ.
[∵ प्रत्येक = 90°]
⇒ ∠POS + ∠ROS = ∠QOS – ∠ROS
⇒ 2∠ROS = ∠QOS – ∠POS
⇒ ∠ROS = \(\frac{1}{2}\)(∠QOS – ∠POS). इति सिद्धम् ।

JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1

प्रश्न 6.
यह दिया है कि ∠XYZ = 64° है और XY को बिन्दु P तक बढ़ाया गया है। दी गई सूचना से यह एक आकृति खींचिए। यदि किरण YQ, ∠ZYP को सम-द्विभाजित करती है, तो ∠XYQ और प्रतिवर्ती ∠QYP के मान ज्ञात कीजिए।
JAC Class 9 Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 6
हल:
∵ XY को बिन्दु P तक बढ़ाया। इसलिए XP एक सीधी रेखा है।
∵ YZ, XP पर स्थित है।
∴ ∠XYZ + ∠ZYP = 180° [रैखिक युग्म]
⇒ 64° + ∠ZYP = 180°
⇒ ∠ZYP = 180° – 64° = 116°
∵ किरण YQ, ∠ZYP को समद्विभाजित करती है।
∴ ∠QYP = ∠ZYQ = \(\frac{116^{\circ}}{2}\) = 58°
अब ∠XYQ = ∠XYZ + ∠ZYQ
= 64° + 58° = 122°
∴ प्रतिवर्ती ∠QYP = 360° – 58° = 302°.

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4

Jharkhand Board JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4 Textbook Exercise Questions and Answers.

JAC Board Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Exercise 1.4

प्रश्न 1.
बिना लम्बी विभाजन प्रक्रिया किए बताइए कि निम्नलिखित परिमेय संख्याओं के दशमलव प्रसार सांत हैं या असांत आवर्ती हैं :
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4 1
हल:
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4 2
∵ हर में केवल अभाज्य गुणनखण्ड 5 ही है।
अर्थात् 2n × 5m के रूप का है।
अतः \(\frac{13}{3125}\) का दशमलव प्रसार सांत है।

(ii) \(\frac{17}{8}=\frac{17}{2 \times 2 \times 2}=\frac{17}{2^3 \times 5^0}\)
हर 2n × 5m के रूप का है अर्थात् हर में केवल अभाज्य गुणनखण्ड 2 ही है।
अतः \(\frac{17}{8}\) का दशमलव प्रसार सांत है।

(iii) \(\frac{64}{455}=\frac{64}{5 \times 7 \times 13}\)
हर 2n × 5m के रूप का नहीं है।
अर्थात् हर में 2 तथा 5 के अतिरिक्त अभाज्य गुणनखण्ड 7 और 13 भी हैं।
अतः \(\frac{64}{455}\) का दशमलव प्रसार असांत एवं आवर्ती हैं।

(iv) \(\frac{15}{1600}=\frac{15}{2^4 \times 100}\)
= \(\frac{15}{2^4 \times 2^2 \times 5^2}=\frac{15}{2^6 \times 5^2}\)
हर 2n × 5m के रूप का है।
अर्थात् हर में 2 और 5 ही अभाज्य गुणनखण्ड हैं।
अतः \(\frac{15}{1600}\)

(v) \(\frac{29}{343}=\frac{29}{7 \times 7 \times 7}\)
हर 2n × 5m के रूप का नहीं है।
अर्थात् हर के अभाग्य गुणनखण्डों में 2 और 5 नहीं हैं।
अत: \(\frac{29}{343}\) का दशमलव प्रसार असांत एवं आवर्ती है।

(vi) \(\frac{23}{(2)^3 .(5)^2}\) के हर में केवल अभाज्य गुणनखण्ड 2 और 5 ही है अर्थात् 2n × 5m के रूप का है।
अतः \(\frac{23}{2^3 .5^2}\) का दशमलव प्रसार सांत है।

(vii) \(\frac{129}{(2)^2 \cdot(5)^7 \cdot(7)^5}\) के हर में अभाज्य गुणनखण्ड 2, 5 व 7 हैं। गुणनखण्ड 7, (2 या 5) के अतिरिक्त हैं अर्थात् 2n × 5m के रूप का नहीं है।
अतः \(\frac{129}{2^2 \cdot 5^7 \cdot 7^5}\) का दशमलव प्रसार असांत एवं आवर्ती है।

(viii) \(\frac{6}{15}=\frac{3 \times 2}{3 \times 5}=\frac{2}{5}=\frac{2}{5 \times 2^0}\)
∵ हर में अभाज्य गुणनखण्ड केवल 5 है अर्थात् 2n × 5m के रूप का है।
अत: \(\frac{6}{15}\) का दशमलव प्रसार सांत है।

(ix) \(\frac{35}{50}=\frac{5 \times 7}{5 \times 5 \times 2}=\frac{7}{5 \times 2}\)
∵ हर में अभाज्य गुणनखण्ड केवल 5 व 2 हैं अर्थात् 2n × 5m के रूप का है।
अतः \(\frac{35}{50}\) का दशमलव प्रसार सांत है।

(x) \(\frac{77}{210}=\frac{7 \times 11}{7 \times 2 \times 3 \times 5}=\frac{11}{2 \times 3 \times 5}\)
∵ हर में 2 और 5 के अतिरिक्त गुणनखण्ड 3 भी है।
∴ यह 2n × 5m के रूप का नहीं है।
अतः \(\frac{77}{210}\) का दशमलव प्रसार असांत एवं आवर्ती है।

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4

प्रश्न 2.
ऊपर दिये गये प्रश्न में उन परिमेय संख्याओं के दशमलव प्रसारों को लिखिए जो सांत हैं।
हल:
(i) \(\frac{13}{3125}=\frac{13}{5 \times 5 \times 5 \times 5 \times 5}\)
= \(\frac{13}{5^5}=\frac{13}{2^0 \times 5^5}\)
∵ हर 2n × 5m के रूप का है।
∴ \(\frac{13}{3125}\) का दशमलव प्रसार सांत है।
दशमलव के रूप में व्यक्त करना :
हर को 10 की घात बनाने के लिए संख्या को (2)5 से गुणा और भाग करने पर:
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4 3
अतः \(\frac{13}{3125}\) का दशमलव प्रसार 0.00416 है।

(ii) \(\frac{17}{8}=\frac{17}{2 \times 2 \times 2}=\frac{17}{2^3}\)
∵ हर 2n × 5m के रूप का है।
∴ \(\frac{17}{8}\) का दशमलव प्रसार सांत है।
दशमलव के रूप में व्यक्त करना :
हर को 10 की घात बनाने के लिए अंश और हर में 53 से गुणा करने पर-
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4 4
हर के अभाज्य गुणनखण्ड 2n × 5m के रूप में नहीं हैं।
अर्थात् हर के अभाज्य गुणनखण्डों में 5 के अतिरिक्त 7 और 13 भी हैं।
अत: \(\frac{64}{455}\) का दशमलव प्रसार असांत आवतीं है।

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4 5
∵ हर 2n × 5m के रूप का है।
∴ \(\frac{15}{1600}\) का दशमलव प्रसार सांत है।
हर को 10 की घात बनाने के लिए अंश व हर में (5)4 से गुणा करने पर,
\(\frac{15}{1600}=\frac{15 \times 5^4}{2^6 \times 5^2 \times 5^4}\)
= \(\frac{15 \times 625}{2^6 \times 5^6}\)
= \(\frac{9375}{(2 \times 5)^6}=\frac{9375}{10^6}=\frac{9375}{1000000}\)
= 0.009375
अतः \(\frac{15}{1600}\) का दशमलव प्रसार 0.009375 है।

(v) \(\frac{29}{343}=\frac{29}{7 \times 7 \times 7}=\frac{29}{7^3}\)
चूँकि हर के अभाज्य गुणनखण्डों में 2 व 5 नहीं हैं।
अर्थात् 2n × 5m के रूप का नहीं है।
∴ \(\frac{29}{343}\) का दशमलव प्रसार असांत आवर्ती है।

(vi) \(\frac{23}{2^3 \cdot 5^2}\)
∵ हर 2n × 5m के रूप का है।
∴ \(\frac{23}{2^3 \cdot 5^2}\) का दशमलव प्रसार सांत है।
हर को 10 की घात बनाने के लिए अंश व हर में 5 से गुणा करने पर,
JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4 6
अतः \(\frac{23}{2^3 \cdot 5^2}\) का दशमलव प्रसार 0.115 है।

(vii) \(\frac{129}{2^2 5^7 7^5}\)
चूँकि हर के अभाज्य गुणनखण्ड में 2, 5 के अतिरिक्त 7 भी हैं।
अर्थात् हर के अभाज्य गुणनखण्ड 2n × 5m के रूप में नहीं हैं।
∴ \(\frac{129}{2^2 5^7 7^5}\) का दशमलव प्रसार असांत आवर्ती है।

(viii) \(\frac{6}{15}=\frac{2 \times 3}{3 \times 5}=\frac{2}{5}\)
∵ हर 2n × 5m के रूप का है।
अतः \(\frac{6}{15}\) का दशमलव प्रसार सांत है।
हर को 10 की घात बनाने के लिए अंश और हर में 2 से गुणा करने पर,
\(\frac{2}{5}=\frac{2 \times 2}{2 \times 5}=\frac{4}{10}=0.4\)
अतः \(\frac{6}{15}\) का दशमलव प्रसार 0.4 है।

(ix) \(\frac{35}{50}=\frac{5 \times 7}{2 \times 5 \times 5}=\frac{7}{2 \times 5}\)
= \(\frac{7}{10}=0.7\)
∵ हर 2n × 5m के रूप का है।
अतः \(\frac{35}{50}\) का दशमलव प्रसार सांत है।
अतः \(\frac{35}{50}\) का सांत दशमलव प्रसार 0.7 है।

(x) \(\frac{77}{210}=\frac{7 \times 11}{7 \times 30}\)
= \(\frac{11}{30}=\frac{11}{3 \times 2 \times 5}\)
चूँकि हर के अभाज्य गुणनखण्डों में 2 व 5 के अतिरिक्त 3 भी है।
अर्थात् हर का अभाज्य गुणनखण्ड 2n × 5m के रूप में नहीं है।
अतः \(\frac{77}{210}\) का दशमलव प्रसार असांत आवतीं है।

JAC Class 10 Maths Solutions Chapter 1 वास्तविक संख्याएँ Ex 1.4

प्रश्न 3.
कुछ वास्तविक संख्याओं के दशमलव प्रसार नीचे दर्शाए गए हैं। प्रत्येक स्थिति के लिए निर्धारित कीजिए कि यह संख्या परिमेय संख्या है या नहीं। यदि यह परिमेय संख्या है \(\frac{p}{q}\) और के रूप की है तो q के अभाज्य गुणनखण्डों के बारे में आप क्या कह सकते हैं?
(i) 43.123456789
(ii) 0.120120012000120000………
(iii) \(43 . \overline{123456789}\)
हल:
(i) 43.123456789 = \(\frac{43123456789}{1000000000}\)
यह संख्या \(\frac{p}{q}\) के रूप की है।
∴ यह एक परिमेय संख्या है।
q = 1000000000
= (10)9 = (2 × 5)9 = 29 × 59
अत: q के अभाज्य गुणनखण्ड 2 या 5 या दोनों हैं।

(ii) 1.120120012000120000………
इस संख्या का दशमलव प्रसार असांत एवं अनावर्ती है
और इसे \(\frac{p}{q}\) के रूप में नहीं लिखा जा सकता है।
∴ यह संख्या परिमेय नहीं है

(iii) \(43 . \overline{123456789}\)
= 43.123456789 123456789 123456789 …
इस संख्या का दशमलव प्रसार असांत एवं ओती है और इसे \(\frac{p}{q}\) के रूप में लिखना सम्भव है।
∴ यह एक परिमेय संख्या है।
q के अभाज्य गुणनखण्ड 2 और 5 के अतिरिक्त और भी अभाज्य धन पूर्णांक सम्भव हैं।
अतः दी गई संख्या परिमेय है और q के अभाज्य गुणनखण्ड 2 या 5 के अतिरिक्त भी है।