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Question
A , B and C are collinear points such that AB = `1/2` AC . If the coordinates of A, B and C are (-4 , -4) , (-2 , b) anf (a , 2),Find the values of a and b.
Solution
`"AB"/"AC" = 1/2`
∴ AB : BC = 1 : 1
Coordinates of B are ,
B (- 2 ,b) = B `((- 4 + "a")/2 , (-4 + 2)/2)`
`-2 = (-4 + "a")/2` , b = -1
- 4 = - 4 +a , b = -1
The values of a and b are 0 and -1 respectively.
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