Question

The ratio in which the plane E = ax + by + cz + d = 0 divides the segment joining the points A(x1, y1, z1) and B(x2, y2, z2) is – E11:E22.

Answer 1

See Fig. Let E = ax + by + cz + d = 0 be the plane meeting the line AB at P and suppose AP : PB = λ1 : λ2 so that

Since P ∈ E, we have