The centre of the circle passing through \( (0,0) \) and \( (1,0) \) and touching the circle \( ...
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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) \( (3 / 2,1 / 2) \)
(B) \( (1 / 2,3 / 2) \)
(C) \( (1 / 2,1 / 2) \)
(D) \( (1 / 2, \pm \sqrt{2}) \)
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