If the tangent at point \( P(h, k) \) on the hyperbola P \( \frac{x...
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If the tangent at point \( P(h, k) \) on the hyperbola
P \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) cuts the circle \( x^{2}+y^{2}=a^{2} \) at points \( Q\left(x_{1}, y_{1}\right) \)
W and \( R\left(x_{2}, y_{2}\right) \), then the value of \( \frac{1}{y_{1}}+\frac{1}{y_{2}} \) is
(1) \( \frac{1}{k} \)
(2) \( \frac{2}{k} \)
(3) \( \frac{a b}{k} \)
(4) \( \frac{a+b}{k} \)
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