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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.

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.


 

Grade:12

1 Answers

Ramesh V
70 Points
11 years ago

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


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