Question

If three points (x₁, y₁) (x₂, y₂), (x₃, y₃) lie on the same line, prove that

$\frac{y_2-y_3}{x_2{x}_3}+\frac{y_3-y_1}{x_3{x}_1}+\frac{y_1-y_2}{x_1{x}_2}=0$

Answer 1

GIVEN: If three points lie on the same line

TO PROVE:

PROOF:

We know that three points are collinear if

Hence proved.