Equation of Chord with Given Midpoint

Equation of Chord with Given Midpoint

For circle:

$$x^2+y^2+2gx+2fy+c=0$$

if the midpoint of the chord is $$(x_1,y_1)$$, then the chord is perpendicular to the line joining $$(x_1,y_1)$$ to the centre $$(-g,-f)$$.

Usage

- Used to determine a chord when its midpoint is specified.