(Q14) Verify whether the following points are collinear or not.

(1,-1) , (4,1) , (-2,-3)

Given : Three points (1,-1) , (4,1) , (-2,-3).

Area of the triangle

∆ =
1
2
 |x1(y2 - y3)+x2(y3 - y1)+x3(y1 - y2)|
  =
1
2
 |1(+)+4(-+)+(-2)(--)|
  =
1
2
 ||=

As the area of the triangle is 'o' the three points are collinear.