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Let two points \( P \) and \( Q \) lie on the hyperbola
\( \mathrm{P}^{12: 2} \) \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \), whose center \( C \) be such that \( C P \) is

W perpendicular to \( C Q, ab \). Then the value of \( \frac{1}{C P^{2}}+\frac{1}{C Q^{2}} \) is
(1) \( \frac{b^{2}-a^{2}}{2 a b} \)
(2) \( \frac{1}{a^{2}}+\frac{1}{b^{2}} \)
(3) \( \frac{2 a b}{b^{2}-a^{2}} \)
(4) \( \frac{1}{a^{2}}-\frac{1}{b^{2}} \)
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