The end points of the diameter of a circle are $(2, 4)$ and $(2, 6)$. The radius of the circle is:

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

Find the points of trisection of the line segment joining $(-2,-1)$ and $(7,8)$.

Find the coordinates of the point $R$ on the line segment joining the points $P(-1, 3)$ and $Q(2, 5)$ such that $PR = \frac{3}{5} PQ$.

The distance of the point $P$ on the $X-$axis from $A(11, 12)$ is $13$ units. The coordinates of $P$ are $\ldots \ldots \ldots \ldots$.

When point $A(x_{1}, y_{1})$ and point $B(x_{2}, y_{2})$ are joined to form $\overline{AB}$ and a point divides $\overline{AB}$ in the ratio $\lambda : 1$,the coordinates of the point are: