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An ellipse has the distance between its foci equal to 6 and the distance between its two directrices equal to 12. Find the length of its latus rectum.
- 3*sqrt(2)
- sqrt(3)
- 2*sqrt(3)
- 3/sqrt(2)
Correct answer: 3*sqrt(2)
Solution
From 2ae and 2a/e you find e² and a, then compute the latus rectum 2b²/a.
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