Conjugate Hyperbola
Conjugate Hyperbola are 2 hyperbolas such that the transverse and conjugate axes of one hyperbola are the conjugate and transverse axis of the other hyperbola respectively.
Conjugate hyperbola of (x2 / a2) – (y2 /b2) = 1 is,
(x2 / a2) – (y2 / b2) = 1
Where,
- a is Semi-major axis
- b is Semi-minor axis
- e is Eccentricity of Parabola
- a2 = b2 (e2 − 1)
Hyperbola – Equation, Definition & Properties
A Hyperbola is a smooth curve in a plane with two branches that mirror each other, resembling two infinite bows. It is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected.
Let’s learn about Hyperbola in detail, including its Equation, Formulas, Properties, Graphs, and Derivation.
Table of Content
- What is Hyperbola?
- Hyperbola Definition
- Hyperbola Equation
- Parts of Hyperbola
- Hyperbola Eccentricity
- Standard Equation of Hyperbola
- Latus Rectum of Hyperbola
- Derivation of Hyperbola Equation
- Hyperbola Formula
- Graph of Hyperbola
- Conjugate Hyperbola
- Properties of Hyperbola
- Auxiliary Circles of Hyperbola
- Rectangular Hyperbola
- Parametric Representation of Hyperbola
- Hyperbola Class 11
- Solved Examples on Hyperbola
- Practice Problems on Hyperbola