Find the distance between $P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$ when $PQ$ is parallel to the $y$-axis.

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

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 points which trisect the line segment joining the points $(0, 0)$ and $(9, 12)$ are

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

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