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

Show that,for every $a \in R$,the area of the triangle having the vertices $A(5, a)$,$B(2, 5)$,and $C(2, 3)$ is $3$ square units.

$\overline{AB}$ is given and $P$ is a point such that $A-P-B$. If $P$ divides $\overline{AB}$ from $A$ in ratio $2:3$,then $P$ divides $\overline{AB}$ from $B$ in ratio $\dots$.

If the centroid of $\Delta ABC$ is $G(3, 3)$ and the vertices are $B(-1, 2)$ and $C(2, -3)$,then find the area of $\Delta ABC$.

If $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ are the given points,then $d(A, B) = $ .........

Using the distance formula,show that $(4, 3)$,$(5, 1)$,and $(1, 9)$ are collinear.