Quantitative Aptitude Ques 2147
Question: In what ratio, the line made by joining the Point $ A,(-4,-3) $ and $ B,(5,2) $ intersects X-axis?
Options:
A) $ 3:2 $
B) $ 3:3 $
C) $ -3:2 $
D) $ -2:3 $
E) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- We know that y-coordinate is zero at X-axis. Given, $ y _1=-3, $ $ y _2=2 $
$ \therefore $ $ y=\frac{my _2+ny _1}{m+n} $
$ \Rightarrow $ $ 0=\frac{m(2)+n(-,3)}{m+n} $
$ 2m-3n=0 $
$ \Rightarrow $ $ \frac{m}{n}=\frac{3}{2} $