What is the equation of the sphere which has its centre at `(6, -1, 2)` and touches the plane `2x - y + 2z - 2 = 0` ?

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Q 2379178016.     What is the equation of the sphere which has its
centre at `(6, -1, 2)` and touches the plane
`2x - y + 2z - 2 = 0` ?
NDA 2009 Paper 1
A

`x^2 + y^2 + z^2 + 12x- 2y + 4z + 16 =0`

B

`x^2 + y^2 + z^2 + 12x - 2 y + 4z - 16 = 0`

C

`x^2 + y^2 + z^2 - 12x + 2y- 4z + 16 = 0`

D

`x^2 + y^2 + z^2 - 12x + 2y- 4z + 25 = 0`

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

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