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Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear


Let the given points be A( 1, 5), B(2, 3) and C(-2, -11). Then


Let the given points be A( 1, 5), B(2, 3) and C(-2, -11). Then
Here,

Here, we see that AB + BC ≠ AC, BC + AC ≠ AB and AB + AC ≠ BC.
Hence, the points A, B and C are not collinear.

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