Conic Sections

Conic sections include circles, ellipses, parabolas, and hyperbolas and represent curves that are formed when a plane intersects a right-circular cone as shown in the figure.

Ellipse §

Formula for ellipse: $\frac{x^2}{a^2}$ + $\frac{y^2}{b^2}$ = 1

When a = b it yields a circle of r (radius) = a

Hyperbola §

Formula for hyperbola: $\frac{x^2}{a^2}$ - $\frac{y^2}{b^2}$ = 1

The hyperbola is going to have x-intercept OR y-intercept not both

Special case when xy = 1 represents a hyperbola which has the x, y axes as its asymptotes.