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 $