Question

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 ______.

Options

• x-coordinate = –5

• y-coordinate = 5 only

• y-coordinate = –5 only

• y-coordinate = 5 or –5

Answer 1

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 y-coordinate = 5 or –5.

Explanation:

We know that, the perpendicular distance of a point from the x-axis gives y-coordinate of that point.

Here, foot of perpendicular lies on the negative direction of x-axis, so perpendicular distance can be measure in II quadrant or III quadrant.

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