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

If the polar coordinates of a point are $(2, \pi /3)$,find its Cartesian coordinates.

$P$ and $Q$ are points on the line joining $A,(-2, 5)$ and $B,(3, 1)$ such that $AP = PQ = QB$. Then the mid-point of $PQ$ is

What are the coordinates of the point that divides the line segment joining the points $(-3, -4)$ and $(-8, 7)$ externally in the ratio $7 : 5$?

The distance between the points $(7, 5)$ and $(3, 2)$ is equal to ........... $unit$.

The line $L \equiv 6x + 3y + k = 0$ divides the line segment joining the points $(3, 5)$ and $(4, 6)$ in the ratio $-5: 4$. If the point of intersection of the lines $L = 0$ and $x - y + 1 = 0$ is $P(g, h)$,then $h =$