Equation of a Chord in General Form

Equation of a Chord in General Form

A chord of the ellipse:

$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$

can be represented as:

$$lx+my+n=0$$

with the condition for intersection determined by the distance of the line from the centre.

Usage

- Used when a chord is specified by a general linear equation.