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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.
Solution
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).
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