The asymptotes of a hyperbola having centre at the \( \mathrm{P} \)...

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The asymptotes of a hyperbola having centre at the
\( \mathrm{P} \) point \( (1,2) \) are parallel to the lines \( 2 x+3 y=0 \) and

W \( 3 x+2 y=0 \). If the hyperbola passes through the point \( (5,3) \), show that its equation is \( (2 x+3 y-8)(3 x+2 y-7)=154 \)
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