Diameter Corresponding to a Chord of Given Slope

Rarely Tested

Diameter Corresponding to a Chord of Given Slope

For an ellipse with horizontal major axis, if a family of parallel chords has slope $$m$$, the corresponding diameter has slope:

$$m_d=-\frac{b^2}{a^2m}$$

Usage

- Used in problems involving parallel chords and their bisecting diameters.

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