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Find the value of k for which the points P(5, 5), Q(k, 1) and R(11, 7) are collinear.

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Find the value of k for which the points P(5, 5), Q(k, 1) and R(11, 7) are collinear.

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It is given that the points are collinear

So we get Δ = 0

We know that

On further calculation

2k – 10 + 24 = 0

So we get

2k + 14 = 0

By addition

k = – 7

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