The angle between a pair of tangents dra...

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

A

`x^(2) + y^(2)+ 4x + 6y- 9= 0`

B

`x^(2)-y^(2) -4x+ 6y-9= 0`

C

`x^(2)-y^(2)-4x- 6y -9 = 0`

D

`x^(2) + y^(2) + 4x -6y + 9 = 0`

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