Conic Sections – Hyperbola (Standard Equations & Properties)

Grade 11 Maths — Conic Sections – Hyperbola (Standard Equations & Properties): 25 practice questions with instant scoring and explanations.

1. The standard equation of a hyperbola with transverse axis along x-axis is:
2. For the hyperbola x²/16 - y²/9 = 1, the transverse axis length is:
3. The eccentricity of the hyperbola x²/25 - y²/24 = 1 is:
4. For a hyperbola x²/a² - y²/b² = 1, the relationship between a, b, and c is:
5. The foci of the hyperbola x²/9 - y²/16 = 1 are at:
6. The equations of asymptotes for x²/a² - y²/b² = 1 are:
7. For the hyperbola 9x² - 16y² = 144, the asymptotes are:
8. The difference of focal distances from any point on a hyperbola is:
9. For the hyperbola x²/25 - y²/9 = 1, the latus rectum length is:
10. The eccentricity of a hyperbola is always:
11. For a rectangular hyperbola x² - y² = a², the eccentricity is:
12. The vertices of x²/16 - y²/9 = 1 are at:
13. If transverse axis = 10 and conjugate axis = 8, then c equals:
14. The conjugate hyperbola of x²/a² - y²/b² = 1 is:
15. For the hyperbola x²/9 - y²/4 = 1, the directrices are:
16. The parametric equations of hyperbola x²/a² - y²/b² = 1 are:
17. For the hyperbola with e = 2 and a = 5, the value of b is:
18. The equation y²/a² - x²/b² = 1 represents a hyperbola with transverse axis along:
19. For a hyperbola x²/a² - y²/b² = 1, if e = 3/2 and a = 4, then b equals:
20. The distance between vertices of x²/25 - y²/16 = 1 is:
21. For the hyperbola x²/4 - y²/5 = 1, the eccentricity is:
22. The product of slopes of asymptotes of x²/a² - y²/b² = 1 is:
23. For the rectangular hyperbola xy = c², eccentricity is:
24. If hyperbolas are x²/9 - y²/4 = 1 and y²/4 - x²/9 = 1, they are:
25. For the hyperbola x²/a² - y²/b² = 1, the distance between foci is: