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The lengths of the major and minor axes...

The lengths of the major and minor axes of an ellipse are 2 a and 2b and N is the foot of the perpendicular drawn from a point P of the ellipse on the major axis . Show that `(PN^(2))/(overline(AN)*overline(A'N))=(b^(2))/(a^(2))` where A and A' are the two vertices of the ellipse.

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