Find the ratio in which `(-8, 3)` divides the join of points `(2, -2) and (-4, 1)`.

(i) Find the ratio in which yz-plane divides the join of points (2, 4, 7) and (-3,5,8). (ii) Find the ratio in which yz-plane divides the line joining of the points (-3,1,4) and (2, -7, 3).

Find the ratio in which the y-z plane divides the join of the points (-2,4,7) and (3,-5,8)

Find the ratio in which the point P(x, 2) divides the join of A(12, 5) and B(4, -3).

Find the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8). Also, find the value of m.

Find the coordinates of a point which divides the join of points (3,3,7) and (8,3,2) internally in the ratio 2:3.

Determine the ratio in which the point (-6,a) divides the join of A(-3,1) and B(-8,9). Also find the value of a

Find the equation of the straight line which divide the join of the points (2,3) and (-5,8) in the ratio 3:4 and is also perpendicular to it.