Conic Sections – Formulas and Diagrams

Conic Sections – Formulas and Diagrams

Conic sections are obtained by the intersection of the surface of a cone with a plane. We can have four types of conic sections that are defined based on the angle formed between the plane and the base of the cone. The four types of conic sections are the circle,...
Parts of a Hyperbola with Diagrams

Parts of a Hyperbola with Diagrams

A hyperbola is a conical section formed by a plane that intersects both bases of the cone. Hyperbolas consist of two asymptotic branches to two intersecting fixed lines. The point of intersection of the lines is the center of the hyperbola. In addition to asymptotes,...
Asymptotes of a Hyperbola – Formulas and Examples

Asymptotes of a Hyperbola – Formulas and Examples

The asymptotes of a hyperbola are straight lines that the curve approaches as the values of the independent variable (x) increase. The branches of the hyperbola approach the asymptotes but never touch them. All hyperbolas have two asymptotes, which intersect at the...
Eccentricity of a Hyperbola – Formulas and Examples

Eccentricity of a Hyperbola – Formulas and Examples

Eccentricity is a characteristic that determines the shape of the conic sections. The eccentricity of the hyperbolas depends on the length of the transverse axis and the length of the conjugate axis. On the other hand, the length of these axes can be found directly in...
Applications of the Hyperbola

Applications of the Hyperbola

Hyperbolas are conic sections formed when a plane intersects a pair of cones. For the hyperbola to be formed, the plane has to intersect both bases of the cones. Hyperbolas are made up of two branches that are shaped like a parabola. We have a vertex and a focus in...
Characteristics of a Hyperbola

Characteristics of a Hyperbola

Hyperbolas are conic sections formed when a plane intersects a pair of cones. Hyperbolas have the characteristic that the difference of the distances from any point on the curve to the two foci is equal to a constant. Hyperbolas are made up of two branches that have a...