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

The eccentricity of the hyperbola x^2-y^2=4 is

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.

The eccentricity of the hyperbola 9x^(2) -4y^(2) + 36 = 0 is

The eccentricity of the hyperbola 4x^(2)-9y^(2) =36 is:

Find the ratio of the eccentricities of the hyperbolas 2x^(2) - 3y^(2) = 1 and 3x^(2) - 2y^(2) = 1

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is (a) 2 (b) 2sqrt(3) (c) 4 (d) 4/5

The eccentricity of the ellipse (x -3)^2 + (y-4)^2=y^2/9

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal to that of the ellipse x^2+4y^2=4. if the hyperbola passes through a focus of the ellipse then: (a) the equation of the hyperbola is x^2/3-y^2/2=1 (b) a focus of the hyperbola is (2,0) (c) the eccentricity of the hyperbola is sqrt(5/3) (d) the equation of the hyperbola is x^2-3y^2=3

Find the lengths of the major and minor axis and the eccentricity of the ellipse ((3x-4y+2)^2)/(16)+((4x+3y-5)^2)/9=1