Identifying Conic Sections

The center of the circle is at the point h k on the coordinate plane.

Identifying conic sections. The equations y x 2 4 and x 2 y 2 3. A conic section or simply conic is a curve obtained as the intersection of the surface of a cone with a plane. The radius of the circle is r.

The procedure to locate the intersection points follows these steps where the conics are represented by matrices. Since only one variable is squared the conic is a parabola. When either x or y is squared not both.

Now take a knife and make a cut through it. Circle ellipse parabola and hyperbola. This is what we call a conic section.

This topic covers the four conic sections and their equations. When x and y are both squared and the coefficients on them are the same including the sign. Identify the homogeneous parameters λ μ displaystyle.

Now picture another one directly underneath it that is upside down. For example take a look at 3 x 2 12 x. Y 7x2 5x 2 y 7 x 2 5 x 2.

Our mission is to provide a free world class education to anyone anywhere. Picture an ice cream waffle cone right side up. When either x or y is squared not both.