. If the perpendicular distance of a point P from the x axis is 5 units and the perpendicular lies on the negative direction of the 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 only
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Answer:
d) y can have value either 5 or -5, since both this values satisfy the given condition in the question, in both condition the point p is perpendicular to x axis
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given : perpendicular distance of a point P from the x axis is 5 units
to find : coordinate of point p
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.
hence option (d)
y coordinate = 5 or –5 only
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