Show that the points `(a ,\ b+c),\ \ (b ,\ c+a)` and `(c ,\ a+b)` are collinear.

Show that points A (a , b + c) , B (b , c + a) , C (c , a + b) are collinear.

Show that points A (a , b + c) , B (b , c + a) , C (c , a + b) are collinear.

Show that points A (a , b + c) , B (b , c + a) , C (c , a + b) 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)a n d(c ,a+b) are collinear.

Show that the points A (2, 3, 4), B (3, 4, 6) and C (5, 6, 16) are collinear.

Prove that the points (a, b), (c, d) and (a-c, b-d) are collinear, if ad = bc.

Show that the points A (2, -3, -4) , B (1, 2, 3) and C (3, -8, -11) are collinear.

Show that the points A (2, 3, -4) , B (1, - 2, 3) and C (3, 8, -11) are collinear.

Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC.