Transcription of Conic Section FINAL 05.01
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Conic Section FINAL 05.01
VLet the relation of knowledge to real life be very visible to your pupilsand let them understand how by knowledge the world could betransformed. BERTRAND RUSSELL the preceding Chapter 10, we have studied various formsof the equations of a line. In this Chapter, we shall studyabout some other curves, viz., circles, ellipses, parabolasand hyperbolas. The names parabola and hyperbola aregiven by Apollonius. These curves are in fact, known asconic sections or more commonly conics because theycan be obtained as intersections of a plane with a doublenapped right circular cone. These curves have a very widerange of applications in fields such as planetary motion,design of telescopes and antennas, reflectors in flashlightsand automobile headlights, etc.
11.2 Sections of a Cone Let l be a fixed vertical line and m be another line intersecting it at a fixed point V and inclined to it at an angle α (Fig11.1). Suppose we rotate the line m around the line l in such a way that the angle α remains constant. Then the surface generated is a double-napped right circular hollow cone herein after ...
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