Obtain the equation of the sphere with t...

Obtain the equation of the sphere with the points `(1, -1, 1) and (3, -3, 3)` as the extremities of a diametre and find the coordinate of its centre.

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The correct Answer is:

`x^(2)+y^(2)+z^(2)-4x+4y-4z+9=0,` Centre `(2, -2, 2)`

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