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

The tangent at the point `theta` on the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`, meets its auxiliary circle at two points whose join subtends a right angle at the centre, show that the eccentricity of the ellipse is given by,
`(1)/(e^(2))=1+sin^(2)theta`

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