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.
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