If $P(-3, -2, 4)$,$Q(-9, -8, 10)$,and $R(-5, -4, 6)$ are collinear,then the ratio in which $R$ divides $PQ$ is

If $Q(\alpha, \beta, \gamma)$ is the harmonic conjugate of the point $P(0, -7, 1)$ with respect to the line segment joining the points $A(2, -5, 3)$ and $B(-1, -8, 0)$,then $\alpha - \beta + \gamma =$

Find the ratio in which the line segment joining the points $(4, 8, 10)$ and $(6, 10, -8)$ is divided by the $YZ$-plane.

The coordinates of the point which divides the line segment joining the points $(2, -1, 3)$ and $(4, 3, 1)$ in the ratio $3 : 4$ internally are given by:

If the points $A(9, 8, -10)$,$B(3, 2, -4)$ and $C(5, 4, -6)$ are collinear,then the point $C$ divides the line segment $AB$ in the ratio:

If the point $(a, 8, -2)$ divides the line segment joining the points $(1, 4, 6)$ and $(5, 2, 10)$ in the ratio $m: n$,then $\frac{2m}{n} - \frac{a}{3} =$