Ellipse
The eccentricity of an ellipse is always
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About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- ellipse
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Less than 1
- Eccentricity (e) represents the 'flatness' of the conic section.
- Math Relation: For an ellipse a2x2+b2y2=1, b2=a2(1−e2).
- Constraint Analysis: Since b2 must be positive and less than a2 (for non-circular ellipses), 1−e2 must be between 0 and 1.
- Conclusion: This implies 0<e<1. For a circle, e=0.
This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of ellipse. It appeared in the 2025 exam.
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