The intersection of a double cone and a plane can form different conic sections.

A
The values of the coefficients determine which type of conic section is defined.

**double cone**is geometric figure made up of two cones that are opposite each other with their vertices at the same point. When a plane intersects a double cone, the resulting cross section is called a**conic section**. The type of conic section depends on the angle of the plane relative to the double cone. The general form of the equation of a conic section is:$Ax^2+By^2+Cx+Dy+E=0$

### Conic Sections and Double Cones

## Circle |
## Ellipse |

## Hyperbola |
## Parabola |