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The centre of the circle passing through...

The centre of the circle passing through (0.0) and (1,0) and touching the circle `x^2 + y^2 = a^2 is : (A) `(1/2 , 1/2)` (B) (1/2, - sqrt2) (C) `(3/2 , 1/2)` (D) `(1/2 , 3/2)`

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