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Conic Sections – Parabola (Standard Forms, Focus, Directrix, Latus Rectum)

Maths Higher · Grade 11 · Week 27 · 25 questions

In Grade 11 advanced mathematics, Conic Sections develops techniques for Parabola (Standard Forms, Focus, Directrix, Latus Rectum). These methods reappear throughout Grade 12 and in board + competitive exam papers.

What you'll practise

  • Prove Parabola (Standard Forms, Focus, Directrix, Latus Rectum)
  • 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 – Parabola (Standard Forms, Focus, Directrix, Latus Rectum) quiz

Grade 11 Maths HigherConic Sections – Parabola (Standard Forms, Focus, Directrix, Latus Rectum): 25 practice questions with instant scoring and explanations.

  1. Standard equation of parabola with vertex at origin opening right:
  2. Focus of parabola y² = 12x:
  3. Directrix of parabola y² = 8x:
  4. Length of latus rectum of y² = 4ax:
  5. Parabola x² = -16y opens:
  6. Axis of parabola y² = 4ax is:
  7. Eccentricity of parabola:
  8. Vertex of parabola y² = 20x:
  9. Length of latus rectum of y² = 16x:
  10. Equation of parabola with focus (2, 0) and directrix x = -2:
  11. Parabola y² = 4ax passes through point (a, 2a)?
  12. Point on y² = 8x closest to focus (2, 0):
  13. Focal distance of point (x₁, y₁) on y² = 4ax:
  14. If focus is (0, 3) and directrix y = -3, parabola equation:
  15. Parabola x² = 4ay opens:
  16. Equation of directrix of x² = -8y:
  17. Length of latus rectum of x² = 12y:
  18. Parametric form of y² = 4ax:
  19. A parabola with latus rectum 8 and vertex at origin opening right:
  20. Ends of latus rectum of y² = 4ax:
  21. If vertex is (0, 0) and axis is y-axis with focus (0, -4):
  22. Point (3, 6) lies on which parabola?
  23. Latus rectum of parabola y² = 4ax is perpendicular to:
  24. Distance between focus and directrix of y² = 4ax:
  25. Focal chord passes through:
Question 1 of 250 correct so far

Standard equation of parabola with vertex at origin opening right: