Mathematics · essential
General equation of a circle for JEE
Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
Formula
\(x^2+y^2+2gx+2fy+c=0\)
Variables: Centre is \((-g,-f)\), radius is \(\sqrt{g^2+f^2-c}\).
Conditions: Represents a real circle if \(g^2+f^2-c>0\); point circle if equality holds.
Conversion between general and standard forms.