Different Types of Hyperbolas

There are two types of hyperbolas one hyperbola has conjugate axis is $X$-axis and other has conjugate axis is $Y$-axis. In the given table we explain different components and graphs of ellipse.

Standard Hyperbolas

 Equation $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$ $\frac{{{y^2}}}{{{a^2}}} - \frac{{{x^2}}}{{{b^2}}} = 1$ Focus $\left( { \pm ae,0} \right)$ $\left( {0, \pm ae} \right)$ Directrices $x = \pm \frac{a}{e}$ $y = \pm \frac{a}{e}$ Major Axis $y = 0$ $x = 0$ Vertices $\left( { \pm a,0} \right)$ $\left( {0, \pm a} \right)$ Co-Vertices $\left( {0, \pm b} \right)$ $\left( { \pm b,0} \right)$ Centre $\left( {0,0} \right)$ $\left( {0,0} \right)$ Eccentricity $e = \frac{{\sqrt {{a^2} + {b^2}} }}{a}$ $e = \frac{{\sqrt {{a^2} + {b^2}} }}{a}$ Length of Latus Rectum $\frac{{2{b^2}}}{a}$ $\frac{{2{b^2}}}{a}$ Graph