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Question 12
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

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Solution

The answer is D.
We know that the perpendicular distance of a point from the x-axis gives y-coordinate of that point. Here, foot of perpendicular lies in the negative direction of x-axis, so perpendicular distance can be measured in II quadrant or III quadrant.
Hence, the point P has y-coordinate = 5 or -5.

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