If \( N \) is the foot of the perpendicular drawn from any point \( P \) on the ellipse \( \frac...

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If \( N \) is the foot of the perpendicular drawn from any point \( P \) on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(ab) \) to its major axis \( A A \) then \( \frac{P N^{2}}{A N \cdot A N} \) is equal to
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