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If the points A(7,-2), B(5,1) and C(3,k) are collinear, the find the value of k.

Asked by Topperlearning User 24th November 2013, 5:11 AM
Answered by Expert
Answer:

If three 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 given points are collinear for k=4.

Answered by Expert 24th November 2013, 7:11 AM
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