Show that points A(a, b +c), B(b, c+a) and 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.

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

If a ,b ,c are the p t h ,q t h ,r t h terms, respectively, of an H P , show that the points (b c ,p),(c a ,q), and (a b ,r) are collinear.

If a ,b ,c are the p t h ,q t h ,r t h terms, respectively, of an HP , show that the points (b c ,p),(c a ,q), and (a b ,r) 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, d) and (a-c, b-d) are collinear, if ad = bc.

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.

If the points A(-1,\ -4),\ \ B(b ,\ c) and C(5,\ -1) are collinear and 2b+c=4 , find the values of b and c .

If the points A(1,2) , B(0,0) and C (a,b) are collinear , then