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} $