The perpendicular distance of the $X-$ axis from the point $(5,3)$ is $\ldots \ldots \ldots \ldots .$

The distance of point $A(a \cos \theta, a \sin \theta)$ from the origin is $\ldots \ldots \ldots \ldots$ $(a \in R^{+})$

The coordinates of the centroid of the triangle with vertices $(2, 3)$,$(4, 7)$,and $(-3, 2)$ are:

Find the point on the $Y$-axis which is equidistant from the points $(-5, -2)$ and $(3, 2)$.

$A(6,1), B(8,2)$ and $C(9,4)$ are three vertices of a parallelogram $ABCD$. If $E$ is the midpoint of $DC$,find the area of $\triangle ADE$ (in sq. units).

If $P (2, -3)$ and $Q (7, 9)$,then the length of $\overline{PQ}$ is ...........