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Concept Maps

Conic Sections — Concept Maps

ICSE · Class 11 · Mathematics

4 concept maps of Conic Sections for ICSE Class 11 Mathematics, each also written out as a text outline. 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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One of 3 illustrations for Conic Sections in Super Tutor — alongside flashcards, concept maps and practice questions.

4 Concept Maps

Conic Sections Classification

Conic Sections Classification

The map in words

  • Conic Sections
    • Circle
      • Eccentricity = 0
      • Equal radii
      • Single center
    • Parabola
      • Eccentricity = 1
      • One focus
      • One directrix
      • Opens in one direction
    • Ellipse
      • Eccentricity less than 1
      • Two foci
      • Sum of distances constant
      • Bounded curve
    • Hyperbola
      • Eccentricity greater than 1
      • Two foci
      • Difference of distances constant
      • Unbounded curve

Conic Sections Overview

Conic Sections Overview

The map in words

  • Conic Sections
    • Circle
      • Eccentricity 0
      • All points equidistant
      • Special ellipse case
    • Ellipse
      • Eccentricity 0 to 1
      • Sum of distances constant
      • Two foci
      • Major and minor axes
    • Parabola
      • Eccentricity 1
      • Focus and directrix
      • Vertex form
      • Latus rectum
    • Hyperbola
      • Eccentricity greater than 1
      • Difference of distances
      • Two branches
      • Asymptotes
    • General Form
      • Discriminant test
      • Completing square
      • Standard conversion

Conic Sections Overview

Conic Sections Overview

The map in words

  • Conic Sections
    • Definition
      • Plane intersects cone
      • Distance ratio constant
      • Focus and directrix
    • Types
      • Circle
        • e equals 0
        • Special ellipse
      • Ellipse
        • e less than 1
        • Sum of distances
        • Two foci
      • Parabola
        • e equals 1
        • Equal distances
        • One focus
      • Hyperbola
        • e greater than 1
        • Difference of distances
        • Two foci
    • Properties
      • Eccentricity
      • Vertices
      • Foci
      • Directrices
      • Latus rectum
    • Applications
      • Astronomy
      • Engineering
      • Architecture
      • Navigation

Conic Sections

Conic Sections

The map in words

  • Conic Sections
    • Definition of conic section
    • Key parts of a conic
    • Classification by eccentricity
    • Classification by plane section
    • General second-degree equation
    • Parabola
    • Ellipse
    • Hyperbola

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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 Basic Idea and Geometric Classification, Core Definitions and Terms, Parabola, Ellipse. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Conic Sections show?
The 4 maps show how the ideas in Conic Sections connect: Conic Sections Classification; Conic Sections Overview. Each map is also written out as an outline on this page.
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 Concept Maps

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