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.
None of these
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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