The asymptotes of a hyperbola are parallel to lines \( 2 x+3 y=0 \) and \( 3 x+2 y=0 \). The hyp...

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The asymptotes of a hyperbola are parallel to lines \( 2 x+3 y=0 \) and \( 3 x+2 y=0 \). The hyperbola has its centre at \( (1,2) \) and it passes through \( (5,3) \), find its equation.
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