For the ellipse `x^(2)+ 3y^(2) = a^(2)` find the length of major and minor axis.

For the ellipse x^2+3 y^2=a^2 , find the length of major and minor axes, foci, vertices and the eccentricity.

For the following ellipses find ellipses find the lengths of major and minor axes, coordinates of foci, vertices and the eccentricity: 16 x^2+25 y^2=400

Consider the equation of the ellipse 3x^2+2y^2 = 6 .Find e, foci, directrices, length of major axis and minor axis and length of latus rectum of the above ellipse

The length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 12 units, distance between th e focus and the origin to length of minor axis. Find the length of the major axis and minor axis.

If the eccentricity of the ellipse is (2)/(3) , then the ratio of the major axis to minor axis is

If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 is three times the length of minor axis, its accentricity is