Q 2117801789.     The equation of a sphere which passes through `( 1, 0, 0)`,

`(0, 1, 0)` and `(0, 0, 1)` and whose centre lies on the curve

`4xy = 1` is

A

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

B

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

C

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

D

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

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