$\overline{CD}$ is parallel to the $Y$-axis and $C(4, -5)$,then the coordinates of $D$ are $\ldots \ldots \ldots$

If three vertices of a parallelogram $ABCD$ are $A(3,2)$,$B(4,5)$,and $C(2,3)$,then find the coordinates of the fourth vertex $D$.

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

Students of a school are standing in rows and columns in their playground for a drill practice. $A, B, C$ and $D$ are the positions of four students as shown in the figure. Is it possible to place Jaspal in the drill in such a way that he is equidistant from each of the four students $A, B, C$ and $D$? If so,what should be his position?

State whether the following statement is true or false. Justify your answer.
Points $A(-6, 10)$,$B(-4, 6)$,and $C(3, -8)$ are collinear such that $AB = \frac{2}{9} AC$.

The coordinates of $A$ and $B$ are $(3, -6)$ and $(-2, -1)$. The coordinates of $P$ dividing $\overline{AB}$ from $A$ in ratio $3:2$ are $\ldots \ldots \ldots \ldots$