Question

Let C be any point lying on the line segment AB joining the point A(1,1), B(2,-3) such that 3AC = CB . Find the coordinate of C.

Answer 1

HELLO DEAR,



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)


I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Answer:

so (5/4, 0 ) ans...........