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If the normal at a point P on the ellips...

If the normal at a point P on the ellipse of semi axes `a, b` & centre `C` cuts the major & minor axes at `G & g`.show that `a^2 (CG)^2 + b^2 (Cg)^2 = (a^2 – b^2)^2`. Also prove that `CG = e^2 CN`, where `PN` is the ordinate of `P`.

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