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

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

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∴ centre and radius of circle is (–2,3) and 2 sinα respectively

Distance of P and C is

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