Show that an equation of the form Ax 2 + Cy 2 + F = 0 A

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Show that an equation of the form 

Ax2 + Cy2 + F = 0 A ≠ 0, C ≠ 0, F ≠ 0

where A and C are of the same sign and F is of opposite sign, 

(a) Is the equation of an ellipse with center at if A ≠ 0.
(b) Is the equation of a circle with center (0, 0) if A = C.

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Related Book For  answer-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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