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Find the value of k for which the points A(3, -2), B(k, 2) and C(8, 8) are collinear.

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Find the value of k for which the points A(3, -2), B(k, 2) and C(8, 8) 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

10(k – 3) – 20 = 0

So we get

k – 3 – 2 = 0

By addition

k = 5

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