Conic Sections – Hyperbola (Standard Forms, Asymptotes, Properties)
Maths Higher · Grade 11 · Week 29 · 25 questions
In Grade 11 advanced mathematics, Conic Sections develops techniques for Hyperbola (Standard Forms, Asymptotes, Properties). These methods reappear throughout Grade 12 and in board + competitive exam papers.
What you'll practise
- Prove Hyperbola (Standard Forms, Asymptotes, 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 – Hyperbola (Standard Forms, Asymptotes, Properties) quiz
Grade 11 Maths Higher — Conic Sections – Hyperbola (Standard Forms, Asymptotes, Properties): 25 practice questions with instant scoring and explanations.
- Standard form of hyperbola with transverse axis along x-axis:
- For hyperbola b² = a²(e² - 1), eccentricity:
- Foci of x²/9 - y²/16 = 1:
- Eccentricity of x²/16 - y²/9 = 1:
- Length of transverse axis of x²/9 - y²/16 = 1:
- Vertices of x²/16 - y²/9 = 1:
- Length of conjugate axis of x²/16 - y²/9 = 1:
- Length of latus rectum of hyperbola x²/a² - y²/b² = 1:
- Latus rectum of x²/9 - y²/16 = 1:
- Difference of distances from any point on hyperbola to two foci:
- Asymptotes of x²/a² - y²/b² = 1:
- A rectangular hyperbola has eccentricity:
- Rectangular hyperbola: a = b, equation xy = c² has asymptotes:
- For y²/a² - x²/b² = 1, transverse axis lies along:
- Directrices of x²/a² - y²/b² = 1:
- For x²/9 - y²/16 = 1, a² + b² equals:
- Relation between a, b, c for hyperbola (c = ae):
- If e = 2 and a = 3, then b equals:
- Conjugate hyperbola of x²/a² - y²/b² = 1:
- If 2a = 8 and 2b = 6, eccentricity of x²/16 - y²/9 = 1 is:
- Parametric equations of x²/a² - y²/b² = 1:
- Distance between foci of hyperbola:
- Hyperbola x²/25 - y²/144 = 1 has foci:
- Centre of x²/16 - y²/25 = 1:
- The conic xy = c² (c ≠ 0) is:
Question 1 of 250 correct so far