Question

Obtain the equation of spheres that pass through the points (4,1,0), (2,-3,4), (1,0,0) and touch the plane 2x+2y-z=11

Answer 1

(x-3)² + (y+1)² + (z-2)² = 9

or 16x² + 16y² + 16z² -102x + 50y - 49z + 86 = 0