11. Conic Sections | Introduction Mathematics class 11

CBSE Notes ⇒ Class 11th ⇒ Mathematics ⇒ 11. Conic Sections

11. Conic Sections | Introduction Mathematics class 11

11. Conic Sections

Introduction

Chapter 11. Conic Section

Introduction:

There are some curves like circles, ellipses, parabolas and hyperbolas, which obtains as intersections of a plane with a double napped right circular cone. These curves are known as conic sections.

The names parabola and hyperbola are given by Apollonius.
We can obtain different type of curves by subsequent sections in a plane of double napped right circular cone.

Uses:

These curves have a very wide range of applications in fields such as planetary motion, design of telescopes and antennas, reflectors in flashlights and automobile headlights, etc.

Napped cone Fig. 11.1

Vertex: The point where two napped cone join together. In fig. 11.1 the point V is called vertex.

Generator: Roatating line m is called generator of the cone.

The vertex separates the cone into two parts called nappes.

If we take the intersection of a plane with a cone, the section so obtained is called a conic section.

The section obtained by a intersection of cone with plane is known as conic section.

Introduction 1

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Introduction 2

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Introduction 3

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Introduction 4

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Introduction 5

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11. Conic Sections | Introduction Mathematics class 11

CBSE Notes ⇒ Class 11th ⇒ Mathematics ⇒ 11. Conic Sections