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Question

(A) The perpendicular distance of a point $P(x, y)$ from the $x$-axis is given by $|y|$.Given that the perpendicular distance is $5$ units,we have $|y

Vedclass · Accepted Answer

$y$-coordinate $= 5$ or $-5$

Vedclass · Answer

(A) The perpendicular distance of a point $P(x, y)$ from the $x$-axis is given by $|y|$.Given that the perpendicular distance is $5$ units,we have $|y| = 5$,which implies $y = 5$ or $y = -5$.The foot of the perpendicular from point $P$ to the $x$-axis is the point $(x, 0)$.Since the foot of the perpendicular lies on the negative direction of the $x$-axis,the $x$-coordinate must be negative (i.e.,$x However,the question asks for the possible values of the $y$-coordinate of point $P$.Since $y$ can be either $5$ or $-5$,the point $P$ can be $(x, 5)$ or $(x, -5)$ where $x < 0$.

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 the $x$-axis,then the point $P$ has

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