If a circle passes through the point \( \left(3, \sqrt{\frac{7}{2}}\right) \) and touches \( x+y....

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If a circle passes through the point \( \left(3, \sqrt{\frac{7}{2}}\right) \) and
\( \mathrm{P} \)
touches \( x+y=1 \) and \( x-y=1 \), then the centre of the circle is
(1) \( (4,0) \)
(2) \( (4,2) \)
(3) \( (6,0) \)
(4) \( (7,9) \)


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