If the distance between $A(1, 3)$ and $B(a, 0)$ is $3$ units,then $a = \ldots$

If $A(-2, 1)$,$B(1, 0)$,$C(x, 3)$,and $D(1, y)$ are the vertices of a parallelogram $ABCD$,then find the values of $x$ and $y$.

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

If the point $P (2,1)$ lies on the line segment joining points $A (4,2)$ and $B (8,4)$,then:

The area of a triangle having vertices $A(3, 0)$,$B(0, 3)$,and $C(3, 3)$ is:

$P$ is a point on $\overline{AB}$ such that $A - P - B$. $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ are the given points. If point $P$ divides $\overline{AB}$ from $A$ in the ratio $m : n$ (where $\frac{m}{n} > 0$),then the coordinates of $P$ are: