Question

Which of the following does not lie on the
$X$-axis?

Answer 1

A point that lies on the $X$-axis has its
$y$-coordinate as zero.

$\therefore A=(2,0)$ and $C=(-2,0)$ lie on the $X$-axis.

The point that is 2 units to the right of $(-2,2)$ is $B=(0,2)$, and it does not lie on the $X$-axis. It lies on the $Y$-axis.

The point that lies 2 units above $(4,-2)$ is $D=(4,0)$, and it lies on the $X$-axis.


$\therefore$ The only point that does not lie on the $X$-axis is the one that lies 2 units to the right of $(-2,2).$