If the points A(7, -2), B(5, 1) and C(3, k) are collinear, then find the value of k.
Asked by Topperlearning User
24th November 2013,
5:21 AM
Answered by Expert
Answer:
If the points A, B and C are collinear, then the area of triangle ABC = 0.
[7(1-k)+5(k+2)+3(-2-1)] = 0
7-7k+5k+10-9=0
-2k+8=0
k=4
Thus, the points are collinear for k=4.
Answered by Expert
24th November 2013,
7:21 AM
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