The equation of the the circle having x ...

The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 as two tangents , and x + y = 0 as a diameter is

A

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

B

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

C

`x ^(2) + y^(2) =2`

D

`x ^(2) + y^(2) =1`

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The correct Answer is:

C

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