Quantitative Aptitude Ques 976

Question: In what ratio, the line made by joining the points $ A(-4,-,3) $ and $ B(5,2) $ intersects X-axis?

Options:

A) $ 3:2 $

B) $ 2:3 $

C) $ -3:2 $

D) $ -2:3 $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let C be the point on X-axis, where the line joining the points A and B intersect X-axis. Let the ratio be k: 1. Then, by section formula, $ x=\frac{5k-4}{k+1} $ and $ 0=\frac{2k-3}{k+1} $

$ \Rightarrow $ $ k=\frac{3}{2} $

$ \therefore $ Required ratio $ =3:2 $