Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.2 - The Ellipse - Exercise Set - Page 780: 70

Answer

See the explanation below.

Work Step by Step

Standard equation for ellipse for horizontal major axis is:$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$ Standard equation for ellipse for vertical major axis is:$\dfrac{(x-h)^2}{b^2}+\dfrac{(y-k)^2}{a^2}=1$ Here, $(h,k)$ represents center with foci $c$ and $c^2=a^2-b^2$ Since, we have $4x^2-9y^2=36$ On dividing both sides by $36$, we get $\dfrac{x^2}{9}-\dfrac{y^2}{4}=1$ Thus, we can see that the above equation does not match (or, different) with the standard form of an ellipse.
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