Given points are A(1, 5), B(2, 3) and C(- 2, - 11).
We need to check whether these points are collinear.
We know that for three points A, B and C to be collinear, the criteria to be satisfied is AC = AB + BC.
Let us find the distances first,
We know that distance between two points (x1, y1) and (x2, y2) is
⇒ AB = √5 ..... (2)
⇒ BC = 2√53 ..... (3)
From (1), (2), (3) we can see that we cannot get any linear relationship.
∴ The three points are not collinear.