1.

Tangents to the ellipse b2x2+a2y2=a2b2 makes angles θ1 and θ2 with major axis such that cotθ1+cotθ2=k.Then the locus of the point of intersection is

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Tangents to the ellipse b2x2+a2y2=a2b2 makes angles θ1 and θ2 with major axis such that cotθ1+cotθ2=k.Then the locus of the point of intersection is



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