Conic Sections – Ellipse (Standard Forms, Eccentricity, Properties)
Maths Higher · Grade 11 · Week 28 · 25 questions
In Grade 11 advanced mathematics, Conic Sections develops techniques for Ellipse (Standard Forms, Eccentricity, Properties). These methods reappear throughout Grade 12 and in board + competitive exam papers.
What you'll practise
- Prove Ellipse (Standard Forms, Eccentricity, Properties)
- Work through NCERT intext examples and exercise questions for conic sections
- Apply conic sections concepts to NCERT exercise and exemplar problems
All 25 questions in this Conic Sections – Ellipse (Standard Forms, Eccentricity, Properties) quiz
Grade 11 Maths Higher — Conic Sections – Ellipse (Standard Forms, Eccentricity, Properties): 25 practice questions with instant scoring and explanations.
- Standard form of ellipse with major axis along x-axis:
- For ellipse x²/25 + y²/9 = 1, a and b:
- Eccentricity of x²/25 + y²/16 = 1:
- Relation b² = a²(1-e²) holds for:
- Foci of ellipse x²/25 + y²/9 = 1:
- Length of major axis of x²/16 + y²/9 = 1:
- Length of minor axis of x²/25 + y²/9 = 1:
- Vertices of x²/25 + y²/9 = 1:
- Length of latus rectum of ellipse x²/a² + y²/b² = 1 (a>b):
- Latus rectum of x²/25 + y²/9 = 1:
- Sum of distances from any point on ellipse to two foci:
- For x²/9 + y²/25 = 1, major axis lies along:
- Eccentricity of ellipse is always:
- If e = 0, ellipse becomes:
- Directrices of x²/a² + y²/b² = 1 (a>b):
- Distance between foci of ellipse is:
- If 2a = 10 and 2b = 8, eccentricity:
- Parametric equations of ellipse x²/a² + y²/b² = 1:
- For ellipse, relation between a, b, e and c (c = ae):
- An ellipse with foci (±3, 0) and sum of focal distances = 10:
- If e of ellipse → 1, the ellipse:
- Centre of x²/25 + y²/16 = 1:
- Ends of minor axis of x²/9 + y²/4 = 1:
- Area enclosed by ellipse x²/a² + y²/b² = 1:
- If x²/49 + y²/25 = 1, e equals:
Question 1 of 250 correct so far