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 2886012877.     What is the equation of the sphere which has its
centre at `(6,- 1, 2)` and touches the plane
`2x - y + 2z - 2 = 0` ?
A

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

B

`x^2 + y^2 + z^2 + 12x-2y+ 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`

HINT


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

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