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An ellipse has auxiliary circle (x+2)² + (y-1)² = 25 and director circle (x+2)² + (y-1)² = 34. Find its eccentricity.
- 3/5
- 4/5
- 2/5
- 1/5
Correct answer: 4/5
Solution
The auxiliary circle gives a² = 25 and the director circle gives a² + b² = 34, so b² = 9 and e = sqrt(1 - 9/25) = 4/5.
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