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The centre of the circle passing through (0, 0) and (1, 0) and touching the circle `x^(2)+y^(2)=9`, is

A

`(1//2, 1//2)`

B

`(1//2, -sqrt2)`

C

`(3//2, 1//2)`

D

`(1//2, 3//2)`

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The correct Answer is:
B
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