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What is the general equation for a conic section?

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Oct 19, 2014

The general equation of a conic section is in the form

$A x^{2} + B x + C y^{2} + D y + E = 0$ $Ax^2 + Bx + Cy^2 + Dy + E = 0$

When $A$ $A$ or $C$ $C$ is 0, the equation is that of a parabola.

When $A$ $A$ and $C$ $C$ have the same value (including signs), the equation is that of a circle.

When $A$ $A$ and $C$ $C$ have the same sign, the equation is that of an ellipse

When $A$ $A$ and $C$ $C$ have different signs, the equation is that on a hyperbola

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