The tangent at a point whose eccentric angle is 60∘ on the ellipse x – InterviewSolution

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1.	The tangent at a point whose eccentric angle is 60∘ on the ellipse x2a2+y2b2=1 (a>b), meets the auxiliary circle at L and M. If LM subtends a right angle at the centre, then eccentricity of the ellipse is
Answer» The tangent at a point whose eccentric angle is $60^{\circ}$ on the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 (a > b),$ meets the auxiliary circle at $L$ and $M$ . If $L M$ subtends a right angle at the centre, then eccentricity of the ellipse is

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