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Find the equation of the circle passing...

Find the equation of the circle passing through (1,0) and (0,1) and having the smallest possible radius.

A

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

B

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

C

`x^2 + y^2+2x +2y-7=0`

D

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

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