50 likes | 390 Views
8.1 Classifying Conics Section. 5/1/2013. Conic. Definition:. Is the intersection of a plane and a right circular cone. Circle Ellipse Parabola Hyperbola. 4 types:. General Eqn :. Ax 2 + By 2 + Cx + Dy + E + F = 0. How to classify Conic Sections.
E N D
8.1 Classifying Conics Section 5/1/2013
Conic Definition: Is the intersection of a plane and a right circular cone. Circle Ellipse Parabola Hyperbola 4 types: General Eqn: Ax2 + By2 +Cx+Dy+ E + F = 0
How to classify Conic Sections Ax2 + By2 +Cx+Dy+ E + F = A = B A B but both are positive Either you have an but not both. A and B have different signs (one is positive, the other is negative NOTE: A and B are coefficients of Circle: Ellipse: Parabola: Hyperbola:
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