Find The Locus Of The Point Of Intersection Of The Tangents To The Ellipse , If The Difference Of The Eccentric Angle Of Their Points Of Contact Is 2α.

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Find the locus of the point of intersection of the tangents to the ellipse , if the difference of the eccentric angle of their points of contact is 2α.


Correct option is

Let the point of intersection be (h, k). Let θ1 and θ2 be the eccentric angles such that

       θ1 – θ2 = 2α                      … (1)

Points of contacts are  and the equations of tangents at these points are


Since these tangents pass through (h, k)


On solving these equations, we get






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