Algebraic Curve/Examples/Conic Section

Example of Algebraic Curve
The conic section is an example of an algebraic curve.

From Equation of Conic Section, a conic section can be expressed by an equation in the form:
 * $a x^2 + b x y + c y^2 + d x + e y + f = 0$

for some $a, b, c, d, e, f \in \R$.