find-the-equation-of-the-sphere-which-touches-the-plane-3x-2y-z-2-0-at-the-point-1-2-1-and-cuts-orthogonally-the-the-sphere-x-2-y-2-z-2-4x-6y-4-0-

Question Number 8755 by trapti rathaur@ gmail.com last updated on 25/Oct/16

f i n d t h e e q u a t i o n o f t h e s p h e r e w h i c h t o u c h e s t h e p l a n e

3 x + 2 y - z + 2 = 0 a t t h e p o i n t (1, - 2, 1) a n d c u t s o r t h o g o n a l l y t h e

t h e s p h e r e x^{2} + y^{2} + z^{2} - 4 x + 6 y + 4 = 0