If the points P(-3,9) ,Q(a , b) and R(4 , - 5) are collinear and a + b=1, then find the values of a and b.

If the point A(3, -2, 4), B(1, 1, 1) and C(-1, 4, -2) are collinear then (C:AB)=

If the three points with position vectors (1, a, b), (a,2,b) and (a,b,3) are collinear in space, then the value of a+b is

Prove that the points (a, b + c), (b , c+a) and (c, a+b) are collinear and find the equation of the straight line containing them .

Show that the points A = ( 4 , 2) , B ( 7 , 5) and C ( 9 , 7) are collinear.

Show that the points A(1,2,3) , B(4,0,4), C (-2,4,2) are collinear

Show that the points A(3,2,-4),B(5,4,-6) andC(9,8,-10) are collinear and find the ratio in which B divides bar(AC) .

Verify whether the points A(1,3), B(3,5) and C(-4,20) are collinear or not.