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Revision Notes

Conic Sections — Revision Notes

ICSE · Class 11 · Mathematics

Conic Sections revision notes for ICSE Class 11 Mathematics: 4 topics in quick points. Part of the ICSE Class 11 Mathematics syllabus.

62 questions26 flashcards10 formulas & key relations5 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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Key Topics to Revise

1

1. Basic Idea and Geometric Classification

  • A conic section is a curve obtained as the intersection of a plane with a right circular conical surface.
  • A cone has two nappes, separated by the vertex.
  • If the cutting plane does not pass through the vertex, the result may be a circle, ellipse, parabola, or hyperbola.
2

2. Core Definitions and Terms

  • The fixed point in the focus-directrix definition is called the focus.
  • The fixed line in that definition is called the directrix.
  • The axis is the straight line through the focus and perpendicular to the directrix.
3

3. Parabola

  • A parabola is the locus of points whose distance from a fixed point equals their distance from a fixed line.
  • The eccentricity of a parabola is always 1.
  • If the fixed point lies on the fixed line, the parabola degenerates into a straight line through the fixed point perpendicular to the fixed line.
4

4. Ellipse

  • An ellipse is the locus of points whose ratio of distance from a fixed point to distance from a fixed line is constant and less than 1.
  • An ellipse is also the set of points whose sum of distances from two fixed points is constant.
  • The fixed points are called foci.

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Full Notes

Key Concepts

A conic section is the curveThe focus is the fixed pointEccentricity e is the constant ratioThe equation ax^2 + 2hxy +A parabola is the set

Frequently Asked Questions

What are the important topics in Conic Sections for ICSE Class 11 Mathematics?
Key topics in Conic Sections include Basic Idea and Geometric Classification, Core Definitions and Terms, Parabola, Ellipse. Study these first, then practise questions on each for Class 11 exams.
How should I revise Conic Sections for Class 11 exams?
Learn the core ideas first, then work through the 62 practice questions on Conic Sections. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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

More resources for Conic Sections

All ICSE Class 11 Mathematics Revision Notes

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