If $y$-coordinate of a point is zero,then this point always lies

State the coordinates of the points shown in the figure below.

If the point $(a, 0)$ is on the ray $OX^{\prime}$,is $a$ a positive number or a negative number?

If the coordinates of the two points are $P(-2, 3)$ and $Q(-3, 5),$ then (abscissa of $P$) $-$ (abscissa of $Q$) is

Write whether the following statements are True or False? Justify your answer.
$(i)$ Point $(3,0)$ lies in the first quadrant.
$(ii)$ Points $(1,-1)$ and $(-1,1)$ lie in the same quadrant.

Which quadrant does the interior of $\angle X^{\prime}OY^{\prime}$ represent?