If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has
a. x coordinate = -5
b. y coordinate = 5 only
c. y coordinate = -5 only
d. y coordinate = 5 or -5

Solution:

We know that

The ordinate or the y-coordinate is its distance from the x-axis

It is given that

Perpendicular distance of a point P from the x-axis i.e. ordinate = 5 units

The sign of ordinate is not decided by the negative direction of the x-axis

Therefore, the point P has y coordinate = 5 or -5.

✦ Try This: Point (9, 0) lies a. on the x-axis, b. in the second quadrant, c. on the y-axis, d. in the fourth quadrant

Abscissa or the x-coordinate of a point is its distance from the y-axis and the ordinate or the y-coordinate is its distance from the x-axis.

(x, y) are called the coordinates of the point whose abscissa is x and the ordinate is y.

Therefore, the point (9, 0) lies on the x-axis.

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

NCERT Exemplar Class 9 Maths Exercise 3.1 Problem 12

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies in the negative direction of x-axis, then the point P has a. x coordinate = – 5 b. y coordinate = 5 only c. y coordinate = – 5 only d. y coordinate = 5 or –5

Summary:

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies in the negative direction of the x-axis, then the point P has y coordinate = 5 or –5

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