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If the foci of a hyperbola lie on y=x a...

If the foci of a hyperbola lie on `y=x` and one of the asymptotes is `y=2x ,` then the equation of the hyperbola, given that it passes through (3, 4), is (a) `x^2-y^2-5/2x y+5=0` (b)`2x^2-2y^2+5x y+5=0` (c)`2x^2+2y^2+5x y+10=0` (d)none of these

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