Answered: Assume A, B, C, D are all nonzero real…

Assume A, B, C, D are all nonzero real numbers. Then Ax² + By² + Cx+ Dy = 0 is an equation of a circle if O B² - 4AC >0 OC 0 and D > 0 O A = B B²-4AC = 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 56E

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Question

Assume A, B, C, D are all nonzero real numbers.
Then Ax² + By² + Cx + Dy = 0 is an equation
of a circle if
○ B²-4AC >0
C> 0 and D>0
O A= B
O B² - 4AC = 0

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