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 .

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