Answer
$m_1m_2=-\frac{b^2B^2}{a^{2}A^{2}}.\frac{A^2a^2}{b^2B^2}$
$m_1m_2=-1$
Hence, the ellipse and hyperbola are orthogonal trajectories.
Work Step by Step
According to the given conditions.
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 3 - Section 3.5 - Implicit Differentiation - 3.5 Exercises - Page 216: 57
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