The equation of the sphere through the points `(1,0,0),(0,1,0)` and `(1,1,1)` and having the smallest radius

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Q 1113167040.     The equation of the sphere through the points `(1,0,0),(0,1,0)` and `(1,1,1)` and having the smallest radius
EAMCET 2012
A

` 3(x^2+y^2+z^2)-4x-4y-2z+1=0`

B

`2(x^2+y^2+z^2)-3x-3y-z+1=0`

C

`x^2+y^2+z^2-x-y-z+1=0`

D

`x^2+y^2+z^2-2x-2y+4z+1=0`

HINT


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

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