Properties of Rectangular Hyperbola
Rectangular Hyperbola has various properties and some of the important properties of the rectangular hyperbola are,
- Lengths of the transverse and conjugate axis are equal in the rectangular hyperbola.
- Asymptotes of the rectangular hyperbola are perpendicular to each other.
- Conjugate of the rectangular hyperbola is also a rectangular hyperbola.
- Hyperbola whose asymptotes are perpendicular are called as the right hyperbola or equilateral hyperbola.
Rectangular Hyperbola
Rectangular Hyperbola is a hyperbola in which the transverse and conjugate axes are equal. i.e. in the case of rectangular hyperbola a = b = 1. The asymptote of the rectangular hyperbola is y = ±x. Also, the asymptotes of a rectangular hyperbola are perpendicular.
In this article, we will explore the rectangular hyperbola in depth along with its standard equation, eccentricity, asymptotes, and parametric equation.
Table of Content
- What is a Rectangular Hyperbola?
- Rectangular Hyperbola Shape
- Rectangular Hyperbola Equation
- Parametric Equation of Rectangular Hyperbola
- Rectangular Hyperbola Graph
- Rectangular Hyperbola Formulas
- Properties of Rectangular Hyperbola
- IIT JEE Formulas for Rectangular Hyperbolas
- Examples on Rectangular Hyperbola
- Practice Questions on Rectangular Hyperbola