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

The straight line $3x + y = 9$ divides the line segment joining the points $(1, 3)$ and $(2, 7)$ in the ratio

If the distance between the points $(a, 2)$ and $(3, 4)$ is $8$,then $a = $

Two particles $P$ and $Q$ located at the points with coordinates $P(t, t^3-16t-3)$ and $Q(t+1, t^3-6t-6)$ are moving in a plane. The minimum distance between them in their motion is

The point on the $y$-axis equidistant from the points $(3, 2)$ and $(-1, 3)$ is

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 $h =$