Engineering
Mathematics
Introduction to Determinants
Question
In each of the following find the value of k, for which the points are collinear. (7, – 2), (5, 1), (3, k)
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Solution
Let the points are
A(7, – 2) B(5, 1) C(3, K)
For collinearity
Area of ΔABC
⇒ | – 7 – 7K + 5K + 10 – 9| = 0
⇒ | – 2K + 8| = 0
⇒ – 2K + 8 = 0
⇒ 2K = 8
K = 4
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