Chapter – 3 : Graph | Chapter Solution Class 9

Let us work out – 3.1

Question 1

I plot the following points on graph paper and write the points that lie above or below the x-axis.

(3,-2), (-4,2), (4,5), (-5, -5), (-2, 7), (7, -7), (0,9), (0,-9)

Solution:

Question 2

I plot the following points on graph paper and write the zero points to the right or left of the y-axis.

(5,-7), (10,10), (-8,-4), (4, 3), (-6, 2), (11,-3), (4,0), ( -4,0)

Solution:

Question 3

I plot the following points on graph paper and write their positions (In which quadrant or on which axis and in which direction)

(-11,-7), (0,5), (9,0), (-4, -4), (12,-9), (3,13), (0,6), (-5,0)

Solution:

(-11,-7) → 3rd quadrant.

(0,5) → on the positive y-axis

(9,0) → on the positive x-axis.

(-4,-4) → 3rd quadrant.

(12,-9) → 4th quadrant.

(3,13) → 1st quadrant.

(0,-6) → on the negative y-axis

(-5,0) →  on the negative x-axis

Question 4

Let us write the coordinates of any four points on the x-axis.

Solution:

The coordinates of any four points on the x-axis are (6,0), (12,0), (-5, 0), and (-9,0).

Question 5

Let us write the coordinates of any four points on the y-axis.

Solution:

The coordinates of any four points on the y-axis are (0,5), (0,7), (0,- 3), and (0,-7).

Question 6

Let us find any point on each quadrant. Write the coordinates of the four points.

Solution:

(3,2) → 1^st first quadrant.

(-2,4) → 2^nd Second quadrant:

(-2,-3) → 3^rd third quadrant.

(3, -4) → 4^th Fourth quadrant.

Question 7

The distance of a point from the x-axis is 5 units and from the y-axis is 7 units. Let us write the coordinates of the point.

Solution:

The Co-ordinates of the point = (5,7)