(A) If the tangent at the point \( P \) on the circle \( x^{2}+y^{2...

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(A) If the tangent at the point \( P \) on the circle \( x^{2}+y^{2}+6 x+6 y=2 \) meets the straight line \( 5 x-2 y+6=0 \) at a point \( Q \) on the \( y \)-axis, then the length of \( P Q \) is:
P
(a) 4
(b) \( 2 \sqrt{5} \)
(c) 5
(d) \( 3 \sqrt{5} \)
W
(B) If \( a2 b0 \) then the positive value of \( m \) for which \( y=m x-b \sqrt{1+m^{2}} \) is a common tangent to \( x^{2}+y^{2}=b^{2} \) and \( (x-a)^{2}+y^{2}=b^{2} \) is:
[IIT-JEE (Screening) 2002]
(a) \( \frac{2 b}{\sqrt{a^{2}-4 b^{2}}} \)
(b) \( \frac{\sqrt{a^{2}-4 b^{2}}}{2 b} \)
(c) \( \frac{2 b}{a-2 b} \)
(d) \( \frac{b}{a-2 b} \)
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