If normal at any point \( P \) to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, ab \...

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If normal at any point \( P \) to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, ab \) meets the axes at \( M \) and \( N \) so that at \( \frac{P M}{P N}=\frac{2}{3} \), then value of eccentricity \( e \) is
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