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The equation of the hyperbola which passes through the point $(2,3)$ and has the asymptotes $4x+3y-7=0$ and $x-2y-1=0$ is :

\[\begin {array} {1 1} (1)\;4x^2+5xy-6y^2-11x+11y+50=0 \\ (2)\;4x^2+5xy-6y^2-11x+11y-43=0 \\ (3)\;4x^2-5xy-6y^2-11x+11y+57=0 & \\ (4)\;x^2-5xy-y^2-11x+11y-43=0 \end {array}\]

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answered Nov 7, 2013 by pady_1

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