Find the eccentricity of the ellipse whose latus rectum is one third of the major axis.

Find the eccentricity of an ellipse if its latus rectum is one-third of its major axis.

Find the eccentricity of an ellipse whose latus rectum in one half of its major axis.

Find the eccentricity of the ellipse if : the latus-rectum is one half of its major axis.

Find the eccentricity of the ellipse whose latus rectum is (i) half its major axis, (ii) half its minor axis.

Find the eccentricity of the ellipse whose latus rectum is 4 and semi major axis is 8. also deduce the distance of the vertex from the nearest focus.

Find the eccentricity of the ellipse if : the latus-rectum is one half of its minor axis.

Find the eccentricity of the ellipse whose (i) latus rectum is half of minor axis (ii) minor axis is half of major axis.

The eccentricity of the ellipse whose latus rectum is equal to half of its minor axis is