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.... VIDEO
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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Equation of the member of the family of circles \( \mathrm{S} \) that bisects the circumference of \( C \) is:
(1) \( x^{2}+y^{2}-5 x-1=0 \)
(2) \( x^{2}+y^{2}-5 x+6 y-1=0 \)
(3) \( x^{2}+y^{2}-5 x-6 y-1=0 \)
(4) \( x^{2}+y^{2}+5 x-6 y-1=0 \)
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