Question

find the ratio which the line segment joining the( -1,7) and( 4,-3) is divided by 1,3)​

Answer 1

Answer:

Given points : A(-1,7), B(4,-3)

                AB is divided by C(1,3)

Answer is :

Step-by-step explanation:

Let m and n be the ratio in which line segment is divided.

Then,

     x=mx2 + nx1

              m+n

=> x = 4m - n

          m+n

=> 1 = 4m-n

           m+n

=> m+ n = 4m - n

=> n+n=4m-m

=>2n = 3m

=> 2 = m

   3      n    

But to check that above value we have to put value of y in section formula

& y = my2 + ny1

          m+n

=> 3 = -3m+7n

          m+n

=> 3m + 3n = 7n - 3m

=> 3m + 3m = 7n - 3n

=> 6m=4n

=> m = 4 =  2

   n     6       3

Therefore , 2:3 is the required ratio .