Correct answer is (b) 2:9
Let the line 2x + y - 4 = 0 divide the line segment in the ratio k :1 at the point P.
Then, by section formula the coordinates of Pare
\(P(\frac{3k\,+\,2}{k\,+\,1},\frac{7k\,-\,2}{k\,+\,1})\)
Since P lies on the line 2x + y - 4 = 0, we have
Hence, the required ratio is \(\frac{2}{9}:1\) which is same as 2 : 9.