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Q.) The equations of the transverse and conjugate axes of a hyperbola are respectively x+2y-3=0,2x-y+4-0, and their respective lengths are root 2 and 2/root3 The equation of the hyperbola is
[A](2/5)(x+2y-3)^2-(3/5)(2x-y+4)^2=1
[B](2/5)(2x-y+4)^2-(3/5)(x+2y-3)^2-1
[C]2(2x-y+4)^2-3(x+2y-3)^2-1
[D]2(x+2y-3)^2-3(2x-y+4)^2-1