Schoolcrop

(Q16) Verify whether the following points are collinear or not.

(1,-6) , (3,-4) , (4,-3)

The given points are (1,-6) , (3,-4) , (4,-3)

Area of the triangle,

∆ =

1

2

|x₁(y₂ - y₃)+x₂(y₃ - y₁)+x₃(y₁ - y₂)|

Area of the triangle formed by the given three points is,

=

1

2

|1(-+)+3(-+)+4(-+)|

=

1

2

|| = 0

As ∆ =0, the points are collinear.