Question

in what ratio does the point (-2,3) divide the line segment joining the points (-3,5) and (4,9)

Answer 1

Answer:

1:6 is the ans.

Step-by-step explanation:

Let the required ratio be m : n Given: (x, y,₁)=(-3, 5) and (x, y) =(4,-9) and (x, y) = (-2, 3) By section formula

x = mx₂ + x₁ m+n

-2= m(4)+n(-3)

m+n

4m-3n -2=

m+n

-2m-2n=4m-3n -2m-4m-2n + 3n = 0 -6m+n=0

-6m =-n

m n m:n=1:6

my₂ + my m+n y=

3 m(-9) + n(5)

m+n

3m +3n = -9m + Sn

3m +9m+3n-Sn = 0 12m-2n=0 12m = 2n m 1 m:n=1:6