Question

Determine whether the following points are collinear or not: A (3, 1), B (6,4) and C (8,6).

Answer 1

Here, AB = $\sqrt{{(6-3)}^2+{(4-1)}^2}$ = 3$\sqrt{2}$

QR = $\sqrt{{(8-6)}^2+{(6-4)}^2}$ = 2$\sqrt{2}$

RP = $\sqrt{{(8-3)}^2+{(6-1)}^2}$ = 5$\sqrt{2}$

Here, CA = AB + BC ( 5$\sqrt{2}$ = 3$\sqrt{2}$ + 2$\sqrt{2}$)

So, A, B and C are collinear points.