Various results of ellipse when y-axis is major axis

Various result of Ellipse :- Vertices; major and minor axis; focii directrix and center

Equation (x^(2))/(k^(2)-3)+(y^(2))/(2k)=1 represents an ellipse with y-axis as the major axis if k in

Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1 represents an ellipse with X-axis as major axis if

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lie on it

If the major axis of an ellipse lies on the Y-axis,its minor axis lies on the X-axis and the length of its latus rectum is equal to (2)/(3) of its minor axis,then the eccentricity of that ellipse is

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

Show that the tangents at the ends of a latus rectum of ellipse intersect on the major axis.

If the latus rectum of an ellipse with major axis along y-axis and centre at origin is (1)/(5) , distance between foci = length of minor axis, then the equation of the ellipse is