Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.6 - Conic Sections in Polar Coordinates - Concept and Vocabulary Check - Page 1030: 1


$focus$, $directrix$, $eccentricity$, $parabola$, $ellipse$, $hyperbola$.

Work Step by Step

Instead of defining conic sections separately, we have a universal definition that a conic section is the set of all points in the plane such that the ratio of the distance from a fixed point, called the $focus$, to the distance from a fixed line, called the $directrix$, equals to a constant $e$, called the $eccentricity$. If $e=1$, the conic is a $parabola$. If $e\lt1$, the conic is an $ellipse$. If $e\gt1$, the conic is a $hyperbola$.
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