The angle between a pair of tangents drawn from a point P to the circle x^2+y^2+4x-6y+9sin^2\alpha +13cos^2\alpha=0 is 2α. The equation of the locus of the point P is

Correct Answer is : x2+y2+4x−6y+9=0

WBJEE 2018 Math Solved Paper

Question : 16 of 75

Marks: +1, -0

The angle between a pair of tangents drawn from a point P to the circle x2+y2+4x−6y+9sin2α +13cos2α=0 is 2α. The equation of the locus of the point P is

x2+y2+4x+6y+9=0
x2+y2−4x+6y+9=0
x2+y2−4x−6y+9=0
x2+y2+4x−6y+9=0

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