Standard Equation of a Hyperbola

Standard Equation of a Hyperbola

$$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1,\quad a>0,\quad b>0$$

Terminology

- $$a$$ → Semi-transverse axis.

- $$b$$ → Semi-conjugate axis.

- Centre → $$(0,0)$$.

- Transverse axis → $$x$$-axis.

Usage

- Used for a hyperbola opening along the positive and negative $$x$$-axis.