JAC Class 9 Maths Important Questions Chapter 3 Coordinate Geometry

Jharkhand Board JAC Class 9 Maths Important Questions Chapter 3 Coordinate Geometry Important Questions and Answers.

JAC Board Class 9th Maths Important Questions Chapter 3 Coordinate Geometry

Question 1.
Plot the point (3, 4) on a graph paper.
Solution :

Let XX’ and YY’ be the coordinate axes. Here given point is P(3, 4). First we move 3 units along OX as 3 is positive and we arrive at a point M. Now from M we move 4 units vertically upward as 4 is positive. Then we arrive at P(3, 4).

Question 2.
Write the quadrants for the following points.
(i) A(3, 4)
(ii) B(-2, 3)
(iii) C(-5, -2)
(iv) D(4, -3)
(v) E(-5, -5)
Solution :
(i) Here both coordinates are positive therefore point A lies in Ist quadrant.
(ii) Here x-coordinate is negative and y-coordinate is positive therefore point B lies in 2nd quadrant.
(iii) Here both coordinates are negative therefore point lies in 3rd quadrant.
(iv) Here x-coordinate is positive and y-coordinate is negative therefore point D lies in 4th quadrant.
(v) Here both corrdinates are negative therfore point E lies in 3rd quadrant.

Question 3.
Plot the following points on the graph paper.
(i) A(2, 5)
(ii) B(-5, -7)
(iii) C(3, -2)
(iv) D(0, 5)
(v) E(5, 0)
Solution :
Let XOX’ and YOY’ be the coordinate axes.
Then the given points may be plotted as given below:

Question 4.
Find the distance between
(i) (5, 3) and (3, 2)
(ii) (-1, 4) and (2, -3)
(iii) (a, b) and (-b, a)
Solution :
Let d₁, d₂, d₃ be the required distances. By using the distance formula, we have

Multiple Choice Questions

Question 1.
The abscissa of a point is the distance of the point from :
(a) x-axis
(b) y-axis
(c) Origin
(d) None of these
Solution :
(b) y-axis

Question 2.
The y-coordinate of a point is the distance of that point from:
(a) x-axis
(b) y-axis
(c) Origin
(d) None of these
Solution :
(a) x-axis

Question 3.
If both coordinates of any point are negative then that point will lie in:
(a) First quadrant
(b) Second quadrant
(c) Third quadrant
(d) Fourth quadrant
Solution :
(c) Third quadrant

Question 4.
If the abscissa of any point is zero then that point will lie:
(a) on x-axis
(b) on y-axis
(c) at origin
(d) None of these
Solution :
(b) on y-axis

Question 5.
The distance of the point (3, 5) from x-axis is:
(a) \(\sqrt{34}\)
(b) 3
(c) 5
(d) None of these
Solution :
(c) 5