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

If a ne b ne c , prove that (a, a^2), (b, b^2), (c, c^2) can never be collinear.

If a ne b ne 0, prove that points (a, a^(2)), (b, b^(2)), and (0, 0) can never be collinear.

Prove that the points (a,bc-a^(2)),(b,ca-b^(2)),(c,ab-c^(2)) are collinear.

If a, b, c are distinct real numbers, show that the points (a, a^2), (b, b^2) and (c, c^2) are not collinear.

Prove that the points (a, b + c), (b, c + a) and (c, a + b) are collinear.

Show that the three distinct points (a^2,a) (b^2,b) and (c^2,c) can never be collinear.

Prove that the points (a ,b+c),(b ,c+a)a n d(c ,a+b) are collinear.

Prove that the points (a ,b+c),(b ,c+a)a n d(c ,a+b) are collinear.

Prove that the points (a,b+c),(b,c+a) and (c,a+b) are collinear.

The points with coordinates (2a,3a),(3b,2b) and (c,c) are collinear