A circle \( S \) passes through the point \( (0,1) \) and is \( \ma...

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

W \( =1 \). Then
(1) Radius of \( S \) is 8
(2) Radius of \( S \) is 7
(3) Centre of \( S \) is \( (-7,1) \)
(4) Centre of \( S \) is \( (-8,1) \)
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