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Important Questions

Conic Sections

ICSE · Class 11 · Mathematics

Most important questions from Conic Sections for ICSE Class 11 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

62 questions26 flashcards5 concepts

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A 3D diagram illustrating how different conic sections (circle, ellipse, parabola, hyperbola) are formed by the intersection of a plane with a double-napped right circular cone at various angles.
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62 Questions·
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Sample Questions

1multiple choice
3 marks

For the parabola y^2 = 8x, find the coordinates of a point whose focal distance is 4 units.

Show answer

(2, 4) and (2, -4)

The parabola y^2 = 8x is y^2 = 4ax, so a = 2. Its focus is (2, 0). Let the point be (x, y). Focal distance 4 gives (x - 2)^2 + y^2 = 16. Since the point lies on the parabola, y^2 = 8x. Substituting gives (x - 2)^2 + 8x = 16, so x^2 + 4x - 12 = 0, giving x = 2 or -6. Only x = 2 fits the parabola. Then y^2 = 16, so y = ±4.

2multiple choice
3 marks

Find the directrix of the parabola whose vertex is (-3, 0) and directrix is x + 5 = 0?

Show answer

x = -5

The directrix is already given by x + 5 = 0, which simplifies to x = -5.

3multiple choice
3 marks

For the hyperbola x^2/16 - y^2/9 = 1, find its eccentricity.

Show answer

5/4

Here a^2 = 16 and b^2 = 9. So c = √(a^2 + b^2) = √(25) = 5. Then e = c/a = 5/4.

4multiple choice
3 marks

Find the length of the latus rectum of the hyperbola x^2/36 - y^2/64 = 1.

Show answer

64/3

Here a = 6 and b = 8. The latus rectum length is 2b^2/a = 2(64)/6 = 64/3.

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Frequently Asked Questions

What are the important topics in Conic Sections for ICSE Class 11 Mathematics?
Key topics in Conic Sections include Conic Sections Classification, Conic Sections Overview, Conic Sections Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Conic Sections — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 62 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Conic Sections?
There are 62 practice questions available for Conic Sections. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 18 chapters — ICSE Class 11 Mathematics Important Questions

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