Quantitative Aptitude Ques 1532

Question: Find the ratio in which the line $ 3x+y=9 $ divides the line made by joining the points (1, 3) and (2, 7).

Options:

A) 3 : 4 external

B) 3 : 4 internal

C) 1 : 4 internal

D) 4 : 3 internal

E) None of these

Show Answer

Answer:

Correct Answer: E

Solution:

  • (e) $ \because $ y-coordinate is zero on X-axis. $ y _1=-3, $ $ y _2=2 $
    $ \Rightarrow $ $ y=\frac{my _2+ny _1}{m+n} $
    $ \Rightarrow $ $ 0=\frac{m(2)+n(-3)}{m+n} $
    $ \Rightarrow $ $ 2m-3n=0 $
    $ \Rightarrow $ $ \frac{m}{n}=\frac{3}{2} $