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. 4x^2 +4x+4y^2 + 8y-59=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. 4x^2 +4x+4y^2 + 8y-59=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.
4x^2 +4x+4y^2 + 8y-59=0
Expert Solution
Step 1
The given Equation is:
i.e.
---(1)
The general Equation of a circle is :
We observe that (1) is similar to
Hence, The given Equation represents a circle.
This Equation has a circle as it's graph.
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