DISCOVER: Circle, Point, or Empty Set? Complete the squares in the general equation x2+ax+y2+by+c=0, and simplify the result as much as possible. Under what conditions on the coefficients a, b, and c does this equation represent a circle? A single point? The empty et? In the case in which the equation does represent a circle, find its center and radius.
DISCOVER: Circle, Point, or Empty Set? Complete the squares in the general equation x2+ax+y2+by+c=0, and simplify the result as much as possible. Under what conditions on the coefficients a, b, and c does this equation represent a circle? A single point? The empty et? In the case in which the equation does represent a circle, find its center and radius.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 113E
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DISCOVER: Circle, Point, or Empty Set? Complete the squares in the general equation x2+ax+y2+by+c=0, and simplify the result as much as possible. Under what conditions on the coefficients a, b, and c does this equation represent a circle? A single point? The empty et? In the case in which the equation does represent a circle, find its center and radius.
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