Answer
Not a circle.
Work Step by Step
Rewrite the equation and form squares of $x,y$, we have $x^2+6x+9+y^2+10y+25=9+25-36\longrightarrow (x+3)^2+(y+5)^2=-11$. Thus, the equation does not represent a circle.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 2 - Graphs and Functions - Summary Exercises on Graphs, Circles, Functions, and Equations - Exercises - Page 248: 18
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