Equation of a Chord with Midpoint

Rarely Tested

Equation of a Chord with Midpoint

If the midpoint of a chord is $$M(x_1,y_1)$$, the equation of the diameter passing through the midpoint is:

$$\frac{xx_1}{a^2}+\frac{yy_1}{b^2}=1$$

Usage

- Used to find the diameter associated with a chord whose midpoint is known.

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