Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. x^2+y^2+6x−6y+27=0
Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. x^2+y^2+6x−6y+27=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Decide whether or not the equation has a circle as its graph. If it does, give the center
and the radius. If it does not, describe the graph.
x^2+y^2+6x−6y+27=0
Expert Solution
Step 1
x² + y² + 6x - 6y + 27 = 0
i.e. (x² + 6x + 9) + (y² - 6y + 9) + 9 = 0
i.e. (x + 3)² + (y - 3)² = - 9
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