[" If foci of hyperbola lie on "y=x" and one of asymptote is "y=2x," then equation of hyperbola,given "],[" that it passes through "(3,4)" is "]

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

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

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 x^2-y^2-5/2x y+5=0 2x^2-2y^2+5x y+5=0 2x^2+2y^2+5x y+10=0 none of these

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)/(2)xy+5=0( b) 2x^(2)-2y^(2)+5xy+5=0( c) 2x^(2)+2y^(2)+5xy+10=0 (d)none of these

The asymptotes of the hyperbola are y pm x sqrt(3)=0 and it passes through (4,6) then its equation is

For a hyperbola whose centre is (1,2) and the asymptotes are parallel to the line x+y=0 and x+2y=1, the equation of the hyperbola passing through (3,5) is

The length of conjugate axis of a hyperbola is 8 and its asymptotes are y=2/3x and y=-2/3x . find the equation of hyperbola and its ecentricity

The centre of rectangular hyperbola lies on the line y=2x . If one asymptotes is x+y+c=0 then the other asymptote is

The equation of a line passing through the centre of a rectangular hyperbola is x- y-1 =0. If one of the asymptotes is 3x -4y -6= 0, the equation of the other asymptote is

The asymptotes of a hyperbola are parallel to lines 2x+3y=0 and 3x+2y=0 . The hyperbola has its centre at (1, 2) and it passes through (5, 3). Find its equation.