Question

If B is a point on AC and AB:BC = 1:2, what are the coordinates of B?

Answer 1

We have to use the segment formula which is

`( (mx_(2) + n x_(1) )/(m+n), (my_(2) + n y_(1) )/(m+n))`

Where m :n is the ratio.

Using this formula, we will get

`( (1*4 +2(-5))/(1+2) , (1(-10)+2*2)/(1+2))`

And on simplifying , we will get

`( (4-10)/(3) , (-10+4)/(3)) = (-2,-2)`

Therefore the correct option is 1 .