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

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

Show that the point A(3,7) B(6,5) and C(5,-1) are collinear.

Find the value of ‘b’ for which the points A(1, 2), B(-1, b) and C(-3, -4) are collinear .

Find the value of k if the points A(2, 3), B(4,k) and C(6, -3) are collinear.

The area of the triangle with vertices at the points (a, b + c), (b, c + a) and (c, a + b) is

If the points A(-3, 9), B(a, b) and C(4, -5) are collinear and if a+b=1 , find the a and b.

Show that the points A(1,2,7), B(2,6,3) and C(3, 10, -1) are collinear.

i. Show that the points A(-2,3,5),B(1,2,3),C(7,0,-1) are collinear. ii. Find the ratio in which B divides line segment AC.