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A hyperbola has latus rectum of length 8, and its conjugate axis equals half the distance between its foci. Find its eccentricity.
- sqrt(3)
- 4/3
- 4/sqrt(3)
- 2/sqrt(3)
Correct answer: 2/sqrt(3)
Solution
From 2b = ae and b² = a²(e² - 1) one gets e² = 4/3, hence e = 2/sqrt(3).
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