Find the eccentricity of the ellipse whose latus rectum is one third of the 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 distance of the vertex from the nearest focus is 1.5 cm.

Find the eccentricity of the ellipse (i) whose latus rectum is equal to half of its minor axis (ii) whose latus rectum is equal to half of its major axis (iii) if the major axis is three times the minor axis

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

Find the eccentricity of the ellipse of which the major axis is double the minor axis.

The eccentricity of the hyperbola whose latus-rectum is 8 and length of the conjugate axis is equal to half the distance between the foci, is

The eccentricity of the hyperola whose latus rectum subtends a right angle at centre is

Find the equation of an ellipse whose latus rectum is 8 and eccentricity is 1/3

Obtain the equation of the ellipse whose latus rectum is 5 and whose eccentricity is 2/3 , the axes of the ellipse being the axes of coordinates.

A parabola is drawn whose focus is one of the foci of the ellipse x^2/a^2 + y^2/b^2 = 1 (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse. Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is