In what ratio does the $x$-axis divide the line segment joining the points $(3, 4)$ and $(5, 6)$?

$A(1, 2, 3)$,$B(2, 3, 1)$,and $C(3, 1, 2)$ are three points. If the point $P$ divides $AB$ in the ratio $1:2$ and the point $Q$ divides $BC$ in the ratio $-2:3$,then the distance between $P$ and $Q$ is

The point which divides the line segment joining the points $(2, 4, 5)$ and $(3, 5, -4)$ in the ratio $-2 : 3$ lies on which of the following?

$XOZ$-plane divides the line segment joining the points $(2, 3, 1)$ and $(6, 7, 1)$ in the ratio: (in $: 7$)

Find the coordinates of the points which trisect the line segment joining the points $P(4, 2, -6)$ and $Q(10, -16, 6)$.

The point dividing the line segment joining the points $(1, 2, 3)$ and $(3, -5, 6)$ in the ratio $3: -5$ is