Question

How do you solve a hyperbola conic section $?$

Answer 1

Solving hyperbola conic section :

The standard equation of hyperbola at origin $(0,0)$ and conjugate along the $x-$axis is given below:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

Where,

$2a=$ length of transverse axis

$2b=$ length of conjugate axis

Hence, by using the equation $\frac{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{a}}^{\mathbf{2}}}\mathbf{}\mathbf{-}\mathbf{}\frac{{\mathbf{y}}^{\mathbf{2}}}{{\mathbf{b}}^{\mathbf{2}}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{1}$ we can solve the hyperbola.