Question

Prove that if a plane has the intercepts a, b, c and is at a distance of P units from the origin, then `1/a^2 + 1/b^2 + 1/c^2 = 1/p^2`

Answer 1

The equation of a plane having intercepts a, b, c with x, y, and z axes respectively is given by,

`x/a + y/b + z/c  = 1`  ....(1)

The distance (p) of the plane from the origin is given by,