Asymptotes of Hyperbola
A hyperbola has a pair of asymptotes having an equation x2/a2 – y2/b2 = 0.
Now, the equations of asymptotes are
Equation of Asymptotes: y = (b/a) x and y = -(b/a) x
Equation of Pair of Asymptotes: x2/a2 – y2/b2 = 0
Asymptote Formula
In geometry, an asymptote is a straight line that approaches a curve on the graph and tends to meet the curve at infinity. An asymptote is a line that a graph of a function approaches but never touches or crosses as it extends towards infinity or a specific point. Asymptotes help to describe the behaviour of functions, particularly their end behaviour and behaviour near undefined points.
In this article, we have covered the asymptote definition, types, formulas, examples and others in detail.
Table of Content
- What is an Asymptote?
- Types of Asymptotes
- Asymptote Formula
- Asymptotes of Hyperbola
- Difference Between Horizontal and Vertical Asymptotes