Q31. A variable plane is at a constant distance p from the origin O and meets the axes in A,B & C..

Q31. A variable plane is at a constant distance p from the origin O and meets the axes in A,B and C. Show that the locus of the centroid of the tetrahedron OABC is x^-2 + y^-2 + z^-2 = 16p^-2

Topic:
The Plane
Analytic Geometry