Question

A(1,2) and B(2,3) are given points. Find the point C ∈ AB such that C-A-B and 2AC = 3AB.
PLEASE HELP ME in this question. The one who gets it right will get a guaranteed BRAINLIEST

Answer 1

Answer:

brain list & thanks please

Step-by-step explanation:

3AC=CB

or, AC/CB=1/3

If we denote the coordinate of C by (x,y) then

x=(mx₂+nx₁)/(m+n)

y=(my₂+ny₁)/(m+n)

Here, (x₁,y₁)=(1,1), (x₂,y₂)=(2,-3) and m:n=1:3

∴, x=(1×2+3×1)/(1+3)

=(2+3)/4

=5/4

y=(1×-3+3×1)/(1+3)

=(-3+3)/4

=0

∴, coordinate of C is (5/4,0) Ans.