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The angle between a pair of tangents drawn from a point \(P\) to the circle \(x^{2}+y^{2}+4 x-6 y+9 \sin ^{2} \alpha+13 \cos ^{2} \alpha=0\) is \(2 \alpha\). The equation of the locus of the point \(P\) is
(A) \(x^{2}+y^{2}+4 x+6 y+9=0\)
(B) \(x^{2}+y^{2}-4 x+6 y+9=0\)
(C) \(x^{2}+y^{2}-4 x-6 y+9=0\)
(D) \(x^{2}+y^{2}+4 x-6 y+9=0\)
Ans:(D)

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