If a≠b≠c, prove that the points (a, a²), (b,b²),(c, c²) can never be collinear.
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The points A(a , a²) , B( b, b²) and C( c, c²) are given. Here it is clear that area of triangle be zero when a = b = c . but a ≠ b ≠ c , so, area of triangle can't be zero. That's why all the given three points are never be collinear.
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