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The angle between a pair of tangents from a point P to the circe `x^2 + y^2+ 4 x-6y + 9 sin2 alpha + 13 cos^2 alpha =0` is `2alpha`. Find the equation of the locus of the point P.

A

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

B

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

C

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

D

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

Text Solution

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The angle between a pair of tangents from a point P to the circe x^(2)+y^(2)+4x-6y+9sin2 alpha+13cos^(2)alpha=0 is 2 alpha. Find the equation of the locus of the point P.

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