Define Conic Sections

A curve formed by the intersection of a plane with a cone.

Define conic sections. If b2 4ac 0 the equation represents an ellipse. Definition of conic section. Conic sections can appear as circles ellipses hyperbolas or parabolas depending on the angle of the intersecting plane relative to the cone s base.

Conic section also called conic in geometry any curve produced by the intersection of a plane and a right circular cone. If a c and b 0 the equation represents a circle which is a. By taking different slices through a cone we can get.

If b2 4ac 0 the equation represents a. If the conic is non degenerate then. A section or slice through a cone.

A circle plane perpendicular to the axis of the cone an ellipse plane slightly tilted. The curves ellipse parabola and hyperbola are also obtained practically. A plane curve line pair of intersecting lines or point that is the intersection of or bounds the intersection of a plane and a cone with two nappes.

If a c and b 0 the equation represents a circle which is a special case of an ellipse.