If `(2,3,-3)` is one end of the diameter in a sphere `x^2+y^2+z^2-6x-12y-2z+20=0,` then find the other end of the

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Q 1123178041.     If `(2,3,-3)` is one end of the diameter in a

sphere `x^2+y^2+z^2-6x-12y-2z+20=0,`

then find the other end of the diameter.
EAMCET 2010
A

`(4,9,-1)`

B

`(4,9,5)`

C

`(-8-15,1)`

D

`(8,15,5)`

HINT

The general equation of sphere is: `x^2+y^2+z^2+2ux+2vy+2wz+d=0` The centre co-ordinate of the sphere is `C(-u,-v,-w).`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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