Find the equation of an ellipse whose latus rectum is 10 and eccentricity is `(1)/(2)`.

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 e centricity is (2)/(3) , the axes of the ellipse being the axes of coordinates.

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.

Find the equation of the ellipse whose foci are (0,pm1) and eccentricity is (1)/(2) .

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

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

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

Find the length of the latus rectum of the ellipse if the eccentricity is (1)/(2) and the distance between the foci and the centre of the ellipseis 4.

Equation of the hyperbola with latus rectum (22)/(5) and eccentricity 6/5 is

Find the eccentricity of the ellipse whose latus rectum is 4 and distance of the vertex from the nearest focus is 1.5 cm.