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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) - 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 `

Text Solution

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The correct Answer is:
B
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