Question

The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio 2 : 5 5 : 2 4 : 3 3 : 4

Answer 1

Answer:

Answer:

3 : 4

Step-by-step explanation:

Suppose the line 3x + y − 9 = 0 divides the segment joining the points A(1, 3) and B(2, 7) in the ratio k : 1 at point C.

Then, the co-ordinates of C

(2k + 1/ , 7k + 3/)

k + 1 k + 1

But, C lies on 3x + y − 9 = 0.

Therefore,

2k17k3

390

k1k1

6k + 3 + 7k + 3 − 9k − 9 = 0

K = 3/4

So, the required ratio is 3 : 4