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For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines `2x+3y=0` and `x+2y=1` , the equation of the hyperbola passing through (2, 4) is `(2x+3y-5)(x+2y-8)=40` `(2x+3y-8)(x+2y-8)=40` `(2x+3y-8)(x+2y-5)=30` none of these

A

`(2x + 3y-5) (x + 2y-8) =40`

B

`(2x + 3y-8) (x + 2y -5) =40`

C

`(2x + 3y -8) (x + 2y-5) =30`

D

none of these

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The correct Answer is:
B
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