Question

A point is at a distance of $3$ units from the $x$-axis and $5$ units from the $y$-axis. Which of the following are the possible coordinates of the point?

• A. $(3,-5)$
• B. $(-3,-5)$
• C. $(3,5)$
• D. $(-5,3)$

Answer 1

The correct option is D $(-5,3)$

The perpendicular distance of the point from the $y$-axis measured along the $x$-axis is the coordinate of the $x$-axis. Here, the $x$ coordinate is $5$, but the direction is not mentioned. So, it might be
$+5$ or$-5.$
The perpendicular distance of the point from x-axis measured along the y-axis is the coordinate of the y-axis. Here, the y-coordinate is $3$, but the direction is not mentioned. So, it might be$+3$ or$-3$.
Since the direction is not mentioned, the point might be $(5,3)$ or $(-5,3)$ or $(5,-3)$ or $(-5,-3).$
So, among the given options, both $(5,3)$ is possible.
Hence option a is correct.