If two points \( P \& Q \) on the hyperbola \( \frac{x^{2}}{a^{2}}-...
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If two points \( P \& Q \) on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) whose centre is \( C \) be such that \( C P \) is perpendicular
\( \mathrm{P} \) to \( \mathrm{CQ} \& \mathrm{a}\mathrm{b} \), then prove that \( \frac{1}{\mathrm{CP}^{2}}+\frac{1}{\mathrm{CQ}^{2}}=\frac{1}{\mathrm{a}^{2}}-\frac{1}{\mathrm{~b}^{2}} \).
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