Which of these sets of three points is collinear?

Explanation

1. 01

   Points are collinear when $\begin{vmatrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \end{vmatrix} = 0$.

2. 02

   For $(1, -1), (2, 1), (4, 5)$ the determinant is $1(1 - 5) - (-1)(2 - 4) + (10 - 4) = -4 - 2 + 6 = 0$; for each other set it is not 0.