
We all know that a conic section is the intersection of a "plane" and a "double right circular cone". By changing the angle and location of intersection we can produce a circle, ellipse, parabola or hyperbola ( or in the special case when the plane touches the vertex: a point, line or 2 intersecting lines. parabola, 2 parallel lines, 1 line or no curve). Now, lets This looks at some real world applications of parabolas, hyperbolas, ellipses, and circles.

Interactive Graphs: From equations in the video ::

The general equation for any conic section is
Ax2+Bxy+Cy2+Dx+Ey+F=0 where A,B,C,D,E and F are constants. As we change the values of some of the constants, the shape of the corresponding conic will also change. It is important to know the differences in the equations to help quickly identify the type of conic that is represented by a given equation. If B2−4AC is less than zero, if a conic exists, it will be either a circle or an ellipse. If B2−4AC equals zero, if a conic exists, it will be a parabola. If B2−4AC is greater than zero, if a conic exists, it will be a hyperbola. 
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