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Relation Between Asymptote Slopes
For:
$$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$
the slopes of the asymptotes are:
$$m_1=\frac{b}{a},\quad m_2=-\frac{b}{a}$$
Therefore:
$$m_1m_2=-\frac{b^2}{a^2}$$
Usage
- Used to determine the parameters of a hyperbola from its asymptotes.
