Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 10 - Parametric Equations and Polar Coordinates - 10.5 Conic Sections - 10.5 Exercises - Page 720: 44

Answer

$\dfrac{y^{2}}{4}-\dfrac{x^{2}}{21}=1$; equation of a hyperbola.

Work Step by Step

From the given points, we have $a=2$ and $c=5$ Thus, $c^2=a^2+b^2$ or, $5^2=2^2+b^2$ $b^2=25-4=21$ Hence, $\dfrac{y^{2}}{4}-\dfrac{x^{2}}{21}=1$; equation of a hyperbola.
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