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Question

The tangent at the point α on the ellipse x2a2+y2b2=1 meets the auxiliary circle in two points which subtends a right angle at the center, then the eccentricity e of the ellipse is given by the equation

A
e2(1+cos2α)=1
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B
e2(cosec2α1)=1
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C
e2(1+sin2α)=1
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D
e2(1+tan2α)=1
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