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

Asked by Topperlearning User | 24th Nov, 2013, 05:23: AM

Expert Answer:

If the given points are collinear then the area of the triangle formed by joining these points is zero.
Here, x1 = a, y1 = b + c; x2 = b, y2 = c + a; x3 = c, y3 = a + b.
Substituting the values in the formula for area of a triangle, you get
ac - ab + ab - bc + bc - ac = 0
Hence the given points are collinear.

Answered by  | 24th Nov, 2013, 07:23: AM