Plz help me with the below problem:How to solve it?Show that the pts (3,2,2) (-1,3,3) (0,5,6) (2,1,2) lie on a sphere whose centre is (1,3,4).Also find its radius.

consider center C(1,3,4) and a point A(3,2,2)

radius = 3 units

eqn of sphere = (x-a)²+(y-b)²+(z-c)² = r²

(x-1)²+(y-3)²+(z-4)² = 3²

now substitute other points B(-1,3,3),C(0,5,6),D(2,1,2)

clearly points C,D satsifies the sphere eqn. whers as B is not on sphere

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regards

Ramesh