Question

Find the eccentricity of the ellipse ,if distance between its directries is equal to three times the distance between its foci,​

Answer 1

Answer:

In a ellipse,

Distance between its directrices is 2a/e

Distance between its focii Is 2ae

Now ,

it is given that ,

2a/e= 3(2ae)

we get ,

e= 1/√3

therefore eccentricity of ellipse is 1/√3