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If the tangent at any point of an ellips...

If the tangent at any point of an ellipse `x^2/a^2 + y^2/b^2 =1` makes an angle ` alpha` with the major axis and an angle `beta` with the focal radius of the point of contact then show that the eccentricity ‘e’ of the ellipse is given by the absolute value of `cos beta/cos alpha`

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