The equation of the circle which passes ...

The equation of the circle which passes through `(1, 0)` and `(0, 1)` and has its radius as small as possible, is

A

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

B

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

C

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

D

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

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The correct Answer is:

B

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