A circle is a limiting case of an ellipse whose eccentricity :

Find the equation of an ellipse whose eccentricity is 2/3, the latus rectum is 5 and the centre is at the origin.

The equation of standard ellipse whose eccentricity is 1/2 and distance between the foci is 9, is

If the area of the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

IF the distance between a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2 , then length of the minor axis is

If the distance betweent a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2, then length of the minor axis is

The distance between the foci of an ellipse is 16 and eccentricity is 1/2. Length of the major axis of the ellipse is

If the angle between the lines joining the end points of minor axis of an ellipse with its foci is pi/2, then the eccentricity of the ellipse is

If the latusrectum of an ellipse is equal to one half of its minor axis , then eccentricity is equal to