If the midpoint of the line segment joining the points $(5, a)$ and $(b, 7)$ is $(3, 5)$,find $(a, b)$.

Write the equations for the $x$-axis and $y$-axis.

If the points $A(6, -1)$,$B(1, 3)$ and $C(x, 8)$ are such that $AB = BC$,then $x = $

If the portion of a straight line intercepted between the coordinate axes is divided by the point $(2,3)$ in the ratio $2:3$,then the product of the intercepts made by this line on the axes is

If the line segment joining the points $(0, 0)$ and $(3, 4)$ is the hypotenuse of a right-angled triangle,what is the length of the median to the hypotenuse?

$A (-3, 4)$ and $B (2, 1)$ are two given points. If $C$ is a point on $AB$ such that $AC = 2BC$,find the coordinates of $C$.