Conic Sections – Parabola (Standard Equations & Properties)

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

1. The standard form of parabola with vertex at origin and focus on x-axis is:
2. The standard form of parabola with vertex at origin and focus on y-axis is:
3. For parabola y² = 4ax, the focus is at:
4. For parabola y² = 4ax, the directrix is:
5. For parabola x² = 4ay, the focus is at:
6. For parabola x² = 4ay, the directrix is:
7. For parabola y² = 8x, the value of 'a' is:
8. For parabola y² = 12x, the focus is:
9. The length of latus rectum of parabola y² = 4ax is:
10. The latus rectum of parabola x² = 12y is:
11. A parabola y² = 4x passes through which point?
12. The vertex of parabola (x - 2)² = 8(y - 3) is:
13. The focus of parabola (x - 2)² = 8(y - 3) is:
14. The directrix of parabola (x - 1)² = 12(y - 2) is:
15. For parabola y² = -4x, the parabola opens:
16. For parabola x² = -4y, the parabola opens:
17. Equation of parabola with vertex (0, 0), focus (2, 0) is:
18. Equation of parabola with vertex (0, 0), focus (0, 3) is:
19. If parabola passes through (2, 4) and has axis along y-axis, it is:
20. The vertex of parabola y² - 6y - 8x + 1 = 0 is:
21. A focal chord of parabola y² = 4ax has length:
22. The point (t², 2t) lies on parabola:
23. The parametric form of parabola y² = 4ax uses parameter:
24. For parabola y² = 4x, the ends of latus rectum are:
25. The axis of parabola (x - 1)² = 4(y + 2) is: