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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
Solution
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.
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