Three Dimensional Geometry Question 167
Question: The ratio in which the line joining the points (a, b, c) and (?a, ?c, ?b) is divided by the xy-plane is
[MP PET 1994]
Options:
A) $ a:b $
B) $ b:c $
C) $ c:a $
D) $ c:b $
Show Answer
Answer:
Correct Answer: D
Solution:
Let the ratio be k : 1. Since on xy-plane z = 0
$ \Rightarrow \frac{-bk+c}{k+1}=0\Rightarrow k=\frac{c}{b} $ . Hence the ratio is c : b. Aliter : Using formula, required ratio is $ -\frac{c}{-b}=c:b. $
BETA
