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In each of the following find the value...

In each of the following find the value of k for which the points are collinear.
(i) `(7, –2), (5, 1), (3, k)`
(ii) `(8, 1), (k, – 4), (2, –5)`

Text Solution

Verified by Experts

`A=1/2(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))=0`
1)A=1/2(7(1-k)+5(k+2)+3(-2-1))=0
7-7k+5k+10-9=0
k=4
2)A=1/2(8(-4+5)+k(-5-1)+2(1+4))=0
8-6k+10=0
k=3.
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