CBSE Class 10 Answered
If
the points (a, 0), (0, b) and (1, 1) are collinear, then prove that .
Asked by Topperlearning User | 26 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 | 26 Jul, 2017, 05:09: PM
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