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

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

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

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

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.

If a/(b + c), b/(c + a), c/(a + b) are in A.P., then

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