Question

show that points A(6,6) B(4,4) C(-1,-1) are colliner or not ?

Answer 1

Soln: We have

area of traingle =

|1/2[x1(y2 -y3)+x2(y3-y1)+

x3(y1-y2)|

=|1\2[6{4-(-1)}+4(-1-6)+

(-1)(6-4)|

=|1\2[6(4+1)+4(-7)+(-1)×2|

=|1/2[6×5-28-2]|

=|1\2[30-30]|

=1/2×0

=0

We find that area of the traingle = 0

Therefore , thd points ard colliner.

{explaination : for the points to to colliner ,the area should be equal to zero}