Chord with Given Midpoint

Chord with Given Midpoint

For the parabola:

$$y^2=4ax$$

if the midpoint of a chord is $$(x_1,y_1)$$, the chord is:

$$yy_1=2a(x+x_1)$$

with the appropriate chord condition determined from the midpoint.

Usage

- Used when the midpoint of a chord is known and its equation is required.