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Prove that the points (a, b), (a1, b1) and ( a−a1,b − b1) are collinear if ab1 = a1b

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Let A(a, b), B(a1, b1) and C( a−a1,b − b1) be the given points

Area of ΔABC

Hence, the points are collinear if ab1 = a1b

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