Given, 2ae=6 and e2a=12, directrices are x=±ea
So, ea=6
Now, using the formula for eccentricity of an ellipse
⇒b2=a2−a2e2=18−9=9
⇒L.R.=a2b2=322×9=32
If the distance between the foci of an ellipse is 6 and the distance between its directrix is 12, then the length of its latus rectum is
Held on 7 Jan 2020 · Verified 6 Jul 2026.
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