8.1 Classifying Conics Section

5/1/2013

ConicIs the intersection of a plane and a right circular cone. CircleEllipseParabolaHyperbola

Definition:

4 types:

Ax2 + By2 +Cx +Dy + E + F = 0General Eqn:

How to classify Conic Sections

A = BA B but both are positiveEither you have an but not both.A and B have different signs (one is positive, the other is negative

Circle:Ellipse:

Parabola:

Ax2 + By2 +Cx +Dy + E + F =

Hyperbola:

NOTE: A and B are coefficients of

Classify each conic as a circle, parabola, ellipse or hyperbola

Ax2 + By2 +Cx +Dy + E + F =0

Circle (A=B)Parabola (only have y2.

Ellipse (A ≠B but both positive)

Hyperbola (A and B have different signs