Question

Show that the points $(1,0),(6,0),(0,0)$ are collinear

Answer 1

We can use matrix to prove that:

$Since,\left|\begin{array}{ccc}1& 0& 1\\ 6& 0& 1\\ 0& 0& 1\end{array}\right|=0$

Hence $(1,0),(6,0),(0,0)$ are collinear.