(Q13) The points (3,-2) (-2,8) and (0,4) are three points in a plane. Show that these points are collinear.

By using area of the triangle formula

∆ =
1
2
 |3(-)+(-2)(-(-))+0((-)-)|
  =
1
2
 || =

The area of the triangle is . Hence the three points are collinear i.e. they lie on the same line