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If the normal at any point P of the elli...

If the normal at any point `P` of the ellipse `x^2/a^2 + y^2/b^2 = 1` meets the major and minor axes at `G and E` respectively, and if `CF` is perpendicular upon this normal from the centre `C` of the ellipse, show that `PF.PG=b^2 and PF.PE=a^2`.

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