If \( \theta \) is acute angle between tangents to the hyperbola \(...

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If \( \theta \) is acute angle between tangents to the hyperbola \( \frac{x^{2}}{25}-\frac{y^{2}}{16}=1 \) which passes through the point of
\( \mathrm{P} \) contact of \( 3 x-4 y=5 \) and \( x^{2}-4 y^{2}=5 \) then \( \cot \theta \) is

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