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Let d be the perpendicular distance from the centre of the ellipse `x^2/a^2+y^2/b^2=1` to the tangent drawn at a point P on the ellipse. If `F_1 & F_2` are the two foci of the ellipse, then show the `(PF_1-PF_2)^2=4a^2[1-b^2/d^2]`.

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MOTION-ELLIPSE -Exercise - 3 | Subjective | JEE Advanced
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  13. If the normal at the point P( theta) to the ellipse (x^(2))/(14)...

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  14. PG is the normal to a standard ellipse at P, G being on the major axis...

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