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Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose asymptotes are `x+2y+3=0 and 3x+4y+5=0` and which passes through the point `(1,-1)`. Find also the equation of the conjugate hyperbola.

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The correct Answer is:
`3x^(2)+10xy+8y^(2), 14x+22y+7-0`
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