Conjugate Diameters

Rarely Tested

Conjugate Diameters

Two diameters of an ellipse are conjugate if each bisects the chords parallel to the other.

If their slopes are $$m_1$$ and $$m_2$$:

$$m_1m_2=-\frac{b^2}{a^2}$$

Usage

- Used to test whether two diameters are conjugate.

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