Let \( A(3,7) \) and \( B(6,5) \) are two points. \( C: x^{2}+y^{2}-4 x \) \( -6 y-3=0 \) is a c....

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Let \( A(3,7) \) and \( B(6,5) \) are two points. \( C: x^{2}+y^{2}-4 x \) \( -6 y-3=0 \) is a circle.
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The chords in which the circle \( C \) cuts the members of the family \( S \) of circle passing through \( A \) and \( B \) are concurrent at:
(1) \( (2,3) \)
(2) \( \left(2, \frac{23}{3}\right) \)
(3) \( \left(3, \frac{23}{2}\right) \)
(4) \( (3,2) \)


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