Question

B is a point on the line segment AC. The coordinates of A and B are (2, 5) and (1, 0). If AC= 3 AB, find the coordinates of C. 

Answer 1

Given  AC : AB  = 3 : 1

∴ AB : BC = 1 : 2

Coordinates of B are 

`1 = ("x" + 4)/3 , 0 = ("y + 10")/3`

3 = x + 4 , 0 = y + 10

x = -1 , y = -10

Hence the coordinates of C are (- 1, - 10).