Difference between Parabola and Hyperbola

Difference between Parabola and Hyperbola

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.

Practise This Question

Which of the following congruencies could be the test for the construction of triangles where there is base length given, one of the base angles is given and the difference between the other two sides of the triangle are given?