What conic section does the equation #−x+2y+x^2+xy+y^2=0# represent?

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Answer 1 · 2014-09-28T19:30:44

This equation is in near standard from. The terms have to be re-ordered.

#Ax^2+Bxy+Cy^2+Dx+Ey+F=0#

#x^2+xy+y^2-x+2y=0#

We need the coefficients #A# and #C# to make a determination.

#A=1#
#C=1#

#A=C#
#1=1#

This is a circle .