The section of the cone that is created when a plane cuts a conical surface parallel to the side of the cone is known as a parabola. Similarly, the conic section created when a plane cuts the cone parallel to its axis is known as a hyperbola. Parabola and hyperbola are different in size, shape and various other factors including the formulas that are used to calculate it. In this article, let us understand the difference between parabola and hyperbola.

## Parabola vs Hyperbola

Parabola |
Hyperbola |

When a set of points in a plane are equidistant from a given directrix or a straight line and from the focus then it is called a parabola. | When the difference of distances between a set of points present in a plane to two fixed points is a positive constant, it is called a hyperbola. |

All parabolas are of the same shape irrespective of the size | All hyperbolas are of different shapes |

The two arms in a parabola become parallel to each other | They do not become parallel |

Both hyperbolas and parabolas are open curves, in other words, they do not end and continue indefinitely to infinity, something that ellipses and circles cannot do. At BYJU’S learn more differences like the difference between a comet and an asteroid.