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The tangent at the point alpha on the el...

The tangent at the point `alpha` on the ellipse `x^2/a^2+y^2/b^2=1` meets the auxiliary circle in two points which subtends a right angle at the centre, then the eccentricity 'e' of the ellipse is given by the equation (A) `e^2(1+cos^2alpha)=1` (B) `e^2(cosec^2alpha-1)=1` (C) `e^2(1+sin^2alpha)=1 (D) `e^2(1+tan^2alpha)=1`

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