If the points (a, 0), (0, b) and (1, 1) are collinear, then prove that .

Asked by Topperlearning User | 26th Jul, 2017, 03:09: PM

Expert Answer:

Points (a, 0), (0, b) and (1, 1) are collinear. So, area of triangle formed by these points will be 0.

[x1 (y2 - y3 )+x2(y3- y1)+x3 (y1 - y2)] = 0

[a(b-1)+0(1-0)+1(0-b)]=0

ab-a-b=0

ab = a+b

On dividing throughout by ab, we get,

Answered by  | 26th Jul, 2017, 05:09: PM