Using determinant show that the points `(a,b+c),(b,c+a) and (c,a+b)` are collinear.

Show that the points A(0, 2), B(3, 7) and C(6, 12) are collinear.

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

Show that the point A(-5,1),B(5,5) and C(10,7) are collinear.

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

If the points A(2,3),B(5,k) and C(6,7) are collinear then k is

Find the relation between x and y if the points A(2,1),B(x,y) and C(7,5) are collinear.

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

The area formed by A(a,b+c) ,B(b,c+a) and C(c,a+b) is

Using properties of determinant show that : |(a,b+c,a^2),(b,c+a,b^2),(c,a+b,c^2)|=-(a+b+c)(a-b)(b-c)(c-a)

Using properties of determinant show that : |(a,b,c),(a^2,b^2,c^2),(b+c,c+a,a+b)|=(a+b+c)(a-b)(b-c)(c-a)