Conic Sections
Easymathematics
A conic section with eccentricity e = 1 is a
Select the correct option:
Solution
Incorrect! Answer:
Parabola
The eccentricity e identifies the type of conic section:
- e=0: Circle (special case of ellipse).
- 0<e<1: Ellipse.
- e=1: Parabola. It is the transition state between closed and open curves.
- e>1: Hyperbola. For a parabola, every point is at the same distance from the focus as it is from the directrix (ratio 1:1).
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About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- conic sections
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Parabola
The eccentricity e identifies the type of conic section:
- e=0: Circle (special case of ellipse).
- 0<e<1: Ellipse.
- e=1: Parabola. It is the transition state between closed and open curves.
- e>1: Hyperbola. For a parabola, every point is at the same distance from the focus as it is from the directrix (ratio 1:1).
This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of conic sections. It appeared in the 2025 exam.
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