Ellipse
The standard equation of an ellipse with major axis along x-axis is
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About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- ellipse
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
x²/a² + y²/b² = 1 (a > b)
- Definition: An ellipse is the locus where the sum of distances from two foci is constant.
- Axis Geometry: If the semi-major axis is a (along x) and the semi-minor axis is b (along y), the equation is a2x2+b2y2=1.
- Constraint: For the major axis to be along the x-axis, the denominator of x2 must be larger, hence a>b.
- Properties: Foci are at (±ae,0), where e=1−b2/a2.
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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