Show that a2 = b2 + c2 for the ellipse x2 a2 + y2 b2 = 1 where a > 0, b > 0, and the

Chapter 10, Problem 71

(choose chapter or problem)

Proof Show that \(a^2=b^2+c^2\) for the ellipse

\(\frac{x^{2}}{a^2}+\frac{y^{2}}{b^2}=1\)

where a > 0, b > 0, and the distance from the center of the ellipse (0, 0) to a focus is c.

Text Transcription:

a^2=b^2+c^2

x^2/a^2+y^2/b^2=1

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