Question

If the perpendicular distance of a point P from y axis is 4 units and the foot of the perpendicular lies on the negative direction of y axis, then what is the y coordinate of P?

Answer 1

(0,-4) is coordinate of P

Answer 2

The Y-coordinate of P is 4 or -4.

Explanation:

We know that the length of the perpendicular from the point to the Y axis is equal to the opposite side and the length of the opposite side is equal to the X coordinate. The perpendicular distance of a point from the Y-axis indicates the x-coordinate of that point. Here, the perpendicular foot lies in the negative direction of the Y-axis, so that the perpendicular distance can be measured in the II or III quadrants. Thus, point P has Y-coordinate = 4 or -4.

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