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The equation of the circle passing throu...

The equation of the circle passing through the point `(1,0) and (0,1)` and having the smallest radius is

A

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

B

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

C

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

D

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

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The correct Answer is:
B
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