If the point C (–1,2) divides the lines segment AB in the ratio 3 : 4, where the co-ordinates of A is (2, 5), then coordinates of B is
(–5, –2)
Let C(-1, 2) divides the line joining A(2, 5) and B(x, y) in the bratio 3:4. Then,
C(3x+87,3y+207) = C(-1, 2)
⇒3x+87 = -1 & 3y+207 = 2
⇒3x+8 = -7 & 3y + 20 = 14
⇒ x = -5 & y = -2
The coordinates of B is B(-5, -2)