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If a ≠ b ≠ c, prove that the points (a, a2), (b, b2), (c, c2) can never be collinear.

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 Let A(a, a2), B(b, b2) and (c, c2be the given points.

Area of ΔABC

i.e., the points are collinear if a=b=c

Hence, the points can never be collinear if a ≠ b ≠ c.

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