A circle \( S \) passes through the point \( (0,1) \) and is orthogonal to the circles \( (x-1)^...

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A circle \( S \) passes through the point \( (0,1) \) and is orthogonal to the circles \( (x-1)^{2}+y^{2}=16 \) and
\( \mathrm{P} \) \( x^{2}+y^{2}=1 \). Then

W
(a) radius of \( S \) is 8
(b) radius of \( S \) is 7
(c) centre of \( S \) is \( (-7,1) \)
(d) centre of \( S \) is \( (-8,1) \)
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