ICSE Class 11 Maths | 6. Conic Sections by Pavan | Learn Smarter
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6. Conic Sections

Conic sections are curves resulting from the intersection of a plane with a double-napped cone, encompassing circles, parabolas, ellipses, and hyperbolas. This chapter details their definitions, standard equations, properties, and significance in coordinate geometry.

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Sections

  • 6

    Conic Sections

    Conic sections are curves formed by the intersection of a plane with a double-napped cone, encompassing circles, parabolas, ellipses, and hyperbolas.

    Learning Practice

  • 6.1

    Introduction

    Conic sections are curves derived from the intersection of a plane and a double-napped cone, crucial for understanding analytic geometry.

    Learning Practice

  • 6.2

    Circle

    A circle is defined as the set of all points that are equidistant from a central point known as the center.

    Learning Practice

  • 6.2.1

    Standard Equation Of A Circle

    The section discusses the standard equation of a circle, emphasizing its geometric significance and mathematical formulation.

    Learning Practice

  • 6.2.2

    Properties Of A Circle

    This section outlines the key properties of a circle, including its symmetry, constant radius, and distance-based definition.

    Learning Practice

  • 6.3

    Parabola

    A parabola is defined as the set of points equidistant from a focus and a directrix.

    Learning Practice

  • 6.3.1

    Standard Equation Of A Parabola

    This section introduces the standard equation of a parabola, focusing on its definition and mathematical representation.

    Learning Practice

  • 6.3.2

    Properties Of A Parabola

    This section outlines the key properties of parabolas, including the focus, directrix, axis of symmetry, and reflective property.

    Learning Practice

  • 6.4

    Ellipse

    An ellipse is defined as the set of points where the sum of the distances from two fixed points (foci) is constant.

    Learning

  • 6.4.1

    Standard Equation Of An Ellipse

    This section introduces the standard equation of an ellipse centered at the origin.

    Learning Practice

  • 6.4.2

    Properties Of An Ellipse

    This section covers the fundamental properties of an ellipse, including the definitions of its foci, major and minor axes, and eccentricity.

    Learning

  • 6.5

    Hyperbola

    A hyperbola is defined as the set of points where the difference of the distances from two fixed points (foci) is constant.

    Learning Practice

  • 6.5.1

    Standard Equation Of A Hyperbola

    This section introduces the standard equation of a hyperbola centered at the origin, detailing its form and meaning.

    Learning Practice

  • 6.5.2

    Properties Of A Hyperbola

    This section delves into the key properties of hyperbolas, emphasizing their foci, axes, asymptotes, and eccentricity.

    Learning Practice

References

m11-6.pdf

Class Notes

Memorization

What we have learnt

  • Conic sections are defined ...
  • Each type of conic section ...
  • Understanding conic section...

Final Test

Revision Tests