Mathematics · Conic Sections
Let e1 and e2 be the eccentricities of the ellipse x2/18 + y2/4 = 1 and the hyperbola x2/9 - y2/4 = 1 respectively, satisfying the relation e12 + e22 = k. If α and β are the distances between the foci of the ellipse and the foci of the hyperbola respectively, then the ordered pair (α, β) is equal to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(2√14, 2√13)✓
- 2(√14, √13)
- 3(2√13, 2√14)
- 4(√13, √14)
Correct answer
(2√14, 2√13)
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