Consider the family of circles \( x^{2}+y^{2}-2 x-2 a y-8=0 \) pass...

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Consider the family of circles \( x^{2}+y^{2}-2 x-2 a y-8=0 \) passing
P through two fixed points \( A \) and \( B \). Also, \( S=0 \) is a circle of this

W family, the tangent to which at \( A \) and \( B \) intersect on the line \( x+2 y+5=0 \)
The radius of circle \( S \) is
(1) 3
(2) 6
(3) \( 2 \sqrt{3} \)
(4) \( 3 \sqrt{2} \)
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