Relation Between Slopes of Conjugate Diameters
If $$m_1$$ and $$m_2$$ are the slopes of two conjugate diameters of:
$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$
then:
$$m_1m_2=-\frac{b^2}{a^2}$$
Usage
- Used to determine one conjugate diameter when the other is known.