If two points \( P \) and \( Q \) on the hyperbola \( 9 x^{2}-5 y^{...

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If two points \( P \) and \( Q \) on the hyperbola \( 9 x^{2}-5 y^{2}=1 \) whose centre is \( C \) be such that \( C P \) is perpendicular to \( C Q \), then find \( \frac{1}{C P^{2}}+\frac{1}{C Q^{2}} \).
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