If the normals at \( P(\theta) \) and \( Q\left(\frac{\pi}{2}+\theta\right) \) to the ellipse \(...

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If the normals at \( P(\theta) \) and \( Q\left(\frac{\pi}{2}+\theta\right) \) to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 ; ab \) meet the major axis at \( G \) and \( g \) - respectively, then the value of \( P G^{2}+Q g^{2} \) is
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