The distance between the points $(0, 5)$ and $(-5, 0)$ is

The points $(-4, 0), (4, 0), (0, 3)$ are the vertices of a

The point which divides the line segment joining the points $(7, -6)$ and $(3, 4)$ in ratio $1:2$ internally lies in the

The point which lies on the perpendicular bisector of the line segment joining the points $A(-2, -5)$ and $B(2, 5)$ is

The fourth vertex $D$ of a parallelogram $ABCD$ whose three vertices are $A(-2, 3), B(6, 7)$ and $C(8, 3)$ is

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

If $P\left(\frac{a}{3}, 4\right)$ is the midpoint of the line segment joining the points $Q(-6, 5)$ and $R(-2, 3)$, then the value of $a$ is

The perpendicular bisector of the line segment joining the point $A(1, 5)$ and $B(4, 6)$ cuts the $y$-axis at

The coordinates of the point which is equidistant from the three vertices of the $∆AOB$ as shown in the figure are