If `a!=b!=c ,` prove that the points `(a , a^2),(b , b^2),(c , c^2)` can never be collinear.

Explanation

We know that the area of a triangle 0 when a=b=c


Let `Delta` be the area of the triangle formed by the points



`Delta=1/2​|y_1(x_2​−x_3​)+y_2​(x_3​−x_1​)+y_3​(x_1​−x_2​)|`



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