Question

Let P be an arbitrary point having sum of the squares of the distance from the planes x + y + z = 0, lx – nz = 0 and x – 2y + z = 0, equal to 9. If the locus of the point P is x² + y² + z² = 9, then the value of l – n is equal to _______.

Answer 1

Answer is 0

Let point P is (α, β, γ)

Since its given that x² + y² + z² = 9

After solving \(\ell = n\)