A hyperbola passes through (2, 3) and has asymptotes `3x-4y+5=0 and 12x+5y-40=0`. Then, the equation of its transverse axis is

A hyperbola passes through (2,3) and has asymptotes 3x-4y+5=0 and 12 x+5y-40=0 . Then, the equation of its transverse axis is:

If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 as its asymptotes, then find the equation of its transvers and conjugate axes.

For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines 2x+3y=0 and x+2y=1 , the equation of the hyperbola passing through (2, 4) is (a) (2x+3y-5)(x+2y-8)=40 (b) (2x+3y-8)(x+2y-5)=40 (c) (2x+3y-8)(x+2y-5)=30 (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 a hyperbola is passing through (3,2) and (-17,12), having its vertices, origin and its transverse axis on the x-axis, then the length of the transverse axis is -

Find the asymptotes of the curve x y-3y-2x=0 .

Find the asymptotes and axes of hyperbola having equation xy-3y-4x+7=0 .

A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is

The lengths of transverse and conjugate axes of a hyperbola are 4 unit and 6 unit respectively and their equations are x + 3 = 0 and y - 1 = 0, find the equation of the hyperbola.

Find the equation of the circle passing through the point (2,0) and touching two given lines 3x-4y=11 and 4x+3y=13 and it's center lies on y axis.