Determinant Condition for Concurrency

Determinant Condition for Concurrency

## Formula

For:

$$A_1x+B_1y+C_1=0$$

$$A_2x+B_2y+C_2=0$$

$$A_3x+B_3y+C_3=0$$

the lines are concurrent if:

$$\begin{vmatrix}A_1&B_1&C_1\\A_2&B_2&C_2\\A_3&B_3&C_3\end{vmatrix}=0$$

## Usage

- Used to test concurrency directly from the coefficients of three lines.