Find the distance between the points $(0,0)$ and $(36,15)$.

Name the type of quadrilateral formed,if any,by the following points,and give reasons for your answer: $(-3, 5), (3, 1), (0, 3), (-1, -4)$.

Find the coordinates of the points of trisection (i.e.,points dividing in three equal parts) of the line segment joining the points $A (2, -2)$ and $B (-7, 4)$.

Find a relation between $x$ and $y$ such that the point $(x, y)$ is equidistant from the points $(7, 1)$ and $(3, 5)$.

Find the value of $k$ if the points $A(2, 3)$,$B(4, k)$,and $C(6, -3)$ are collinear.

Find a relation between $x$ and $y$ if the points $(x, y), (1, 2)$ and $(7, 0)$ are collinear.