Rectangular Hyperbola
What is Rectangular Hyperbola?
The hyperbola whose length of the transverse and conjugate axis are equal is called as the rectangular hyperbola.
What is Equation of Rectangular Hyperbola?
The general equation of the rectangular hyperbola is, x2 – y2 = a2
Why is it called a Rectangular Hyperbola?
When the transverse axis and the conjugate axis have equal lengths then, a hyperbola is called a rectangular hyperbola.
What is Parametric Equations for Rectangular Hyperbola?
The parametric equation for the rectangular hyperbola is,
- x = a secθ
- y = a tanθ
How is Hyperbola different from Rectangular Hyperbola?
In the regular hyperbola the lengths of the transverse and conjugate axis are unequal but in the rectangular hyperbola the lengths of the transverse and conjugate axis are equal.
What is Eccentricity of Rectangular Hyperbola?
The eccentricity of rectangular hyperbola is √2.
What is the Equation of a Rectangular Hyperbola in Slope Form?
The equation of Rectangular Hyperbola in slope form is, y = c/x.
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
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