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The angle between the pair of tangents d...

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

A

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

B

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

C

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

D

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

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The correct Answer is:
D
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