The eccentricity of an ellipse is `2/3,` latus rectum is 5 and centre is `(0,0).` The equation of the ellipse is

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 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.

If the foci of an ellipse are (pm sqrt5,0) and its exccentricity is (sqrt5)/(3), then the equation of the ellipse is

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

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

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

Eccentricity of the ellipse whose latus rectum is equal to the distnce between two focus points, is

The eccentricity of an ellipse with its centre at the origin is (1)/(2) . If one of the directrices is x = 4 , then the equation of ellipse is

If the eccentricity of an ellipse is 5/8 and the distance between its foci is 10 , then find the latusrectum of the ellipse.