Hyperbola
The standard equation of a hyperbola with transverse axis along x-axis is
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About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- hyperbola
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
x²/a² - y²/b² = 1
- Definition: A hyperbola is the locus where the absolute difference of distances from two foci is constant.
- Expansion: The standard horizontal hyperbola equation is a2x2−b2y2=1.
- Interpretation: The minus sign distinguishes it from the ellipse. The positive term (x2) indicates that the transverse axis (the one passing through the vertices) is the x-axis.
- Asymptotes: The lines y=±(b/a)x serve as asymptotes.
This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of hyperbola. It appeared in the 2025 exam.
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