Prove that the `(a, b+c), (b, c+a)` and `(c, a+b)` are collinear.

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

Show that the point P(a, b + c), Q(b, c +a) and R(c, a + b) are collinear.

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

The points with coordinates (2a,3a), (3b,2b) and (c,c) are collinear

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

Prove that the ponts A(1,2,3),B(3,4,7),C(-3 -2, -5) are collinear and find the ratio in which B divides AC.

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.

Prove that {:[( b+c,a,a), ( b,c+a,b),( c,c,b+a) ]:}

If the points A(x,y), B(a,0) and C(0,b) are collinear, prove that (x)/(a) + (y)/(b) = 1

If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n + d^n) are in G.P.