From a point \( R(5,8) \), two tangents \( R P \) and \( R Q \) are...

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From a point \( R(5,8) \), two tangents \( R P \) and \( R Q \) are drawn to
P a given circle \( S=0 \) whose radius is 5 . If the circumcenter

W of triangle \( P Q R \) is \( (2,3) \), then the equation of the circle \( S=0 \) is
(1) \( x^{2}+y^{2}+2 x+4 y-20=0 \)
(2) \( x^{2}+y^{2}+x+2 y-10=0 \)
(3) \( x^{2}+y^{2}-x-2 y-20=0 \)
(4) \( x^{2}+y^{2}-4 x-6 y-12=0 \)
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