Question

the line 3x+y-9=0 divides the line joining the points (1,3) and (2,7) internally find the ratio

Answer 1

Answer: 3:4

Step-by-step explanation: by mid point formula, find the coordinates of x and y

X= 2k + 1/ k+1

Y= 7k + 3/ k+1

Now, put these values of x and y in the equation 3x+y-9=0.

=> 3[(2k+1) /k+1 ] + 7k+3/k+1 = 9

=> 6k +7k -9k= 9-6

=> 4k= 3

=> k = 3/4