Diameter Corresponding to a Family of Parallel Chords

Rarely Tested

Diameter Corresponding to a Family of Parallel Chords

For chords of slope $$m$$ of:

$$y^2=4ax$$

their diameter is:

$$y=\frac{x}{m}-\frac{a}{m^3}$$

Usage

- Used to find the locus of midpoints of parallel chords.

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