In Fig. 3.1, coordinates of P are
a. (– 4, 2)
b. (–2, 4)
c. (4, – 2)
d. (2, – 4)

Solution:

From the figure we know that the point P lies in the II quadrant

So the abscissa will be negative and the ordinate will be positive

Perpendicular distance from X-axis is 4 i.e. the y-coordinate is 4

Perpendicular distance from Y-axis is 2 i.e. the x-coordinate is -2

Therefore, the coordinates of P are (-2, 4).

✦ Try This: Point (-5, 0) lies a. on the negative direction of the x-axis b. on the negative direction of the y-axis c. in the third quadrant d. in the fourth quadrant

We know that

Abscissa and ordinate are used to represent the position of a point on a graph

Abscissa is the coordinates of the x-axis

It is the distance from y-axis measured parallel to x-axis

In the point (-5, 0) the abscissa is negative

So it lies on the negative side of the x-axis.

Therefore, the point lies on the negative direction of the x-axis.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3

NCERT Exemplar Class 9 Maths Exercise 3.1 Problem 19

In Fig. 3.1, coordinates of P are a. (– 4, 2) b. (–2, 4) c. (4, – 2) d. (2, – 4)

Summary:

(x, y) are called the coordinates of the point whose abscissa is x and the ordinate is y. In Fig. 3.1, coordinates of P are (-2, 4)

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