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.

Answer 1

`"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.