For a hyperbola whose center is at \( (1,2) \) and the asymptotes a...

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For a hyperbola whose center is at \( (1,2) \) and the asymptotes are parallel to lines \( 2 x+3 y=0 \) and \( x+2 y=1 \), the equation
\( \mathrm{P} \) of the hyperbola passing through \( (2,4) \) is

W
(1) \( (2 x+3 y-5)(x+2 y-8)=40 \)
(2) \( (2 x+3 y-8)(x+2 y-5)=40 \)
(3) \( (2 x+3 y-8)(x+2 y-5)=30 \)
(4) none of these
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