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

The eccentricity of the ellipse whose length of Latus rectum is half of its minor axis, is :

If the eccentricity of an ellipse be (1)/(sqrt2), then its latus rectum is equal to its

The eccentricity of the hyperbola whose length of Latus rectum is one third of transverse axis, is:

The eccentricity of the ellipse whose length of Latus rectum is 1/3 of major axis, is :

Find the eccentricity of an ellipse if the distance between its directions is three times the distance between its foci.

Find the eccentricity of an ellipse if the disctance between its directrices is three times the distance between its foci.

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 centre, the eccentricity, the foci, the directrices, the length of latus-rectum, equations of the directrices of the ellipse (x-3)^2/25+(y+1)^2/16=1 .