Find the equation of the hyperbola which has `3x-4y+7=0 and 4x+3y+1=0` as its asymptotes and which passes through the origin.

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2.

The equation of the plane through the intersection of the planes x+2y+3z-4=0 and 4x+3y+2z+1=0 and passing through the origin is (a) 17x+14y+11z=0 (b) 7x+4y+z=0 (c) x+14+11z=0 (d) 17x+y+z=0

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6)

The equation of a hyperbola whose asymptotes are 3x +- 5y =0 and vertices are (+-5,0) 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.

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.

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

For the curve y = 4x^(3) – 2x^(5) , find all the points at which the tangent passes through the origin.

Find the equation of the asymptotes of the hyperbola 3x^2+10 x y+9y^2+14 x+22 y+7=0

Find the equation of the asymptotes of the hyperbola 3x^2+10 x y+8y^2+14 x+22 y+7=0