Find the eccentricity of the ellipse if `y=x and 3y+2x=0` are the equations of a pair of its conjugate diameters.

The eccentricity of the ellipse 9x^2+5y^2-30 y=0 is

The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

Find the eccentricity of the ellipse, 4x^(2)+9y^(2)-8x-36y+4=0 .

Eccentricity of the ellipse 4x^2+y^2-8x+2y+1=0 is

The eccentricity of the ellipse x^(2)+4y^(2)+8y-2x+1=0 , is

Write the eccentricity of the ellipse 9x^2+5y^2-18 x-2y-16=0.

Find the eccentricity of the ellipse " "(x-3)^(2)/8+(y-4)^(2)/6=1 .

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

if 2y = x and 3y + 4x=0 are the equations of a pair of conjugate diameters of an ellipse , then the eccentricity of the ellipse , is

Find the lengths of major and minor axes,the coordinate of foci, vertices and the eccentricity of the ellipse 3x^(2)+2y^(2)=6 . Also the equation of the directries.