Sequence And Series Question 274
Question: If the A.M., G.M. and H.M. between two positive numbers $ a $ and $ b $ are equal, then
[RPET 2003]
Options:
A) $ a=b $
B) $ ab=1 $
C) $ a>b $
D) $ a<b $
Show Answer
Answer:
Correct Answer: A
Solution:
Given that $ A.M.=G.M.=H.M. $
$ \Rightarrow $ $ \frac{a+b}{2}=\sqrt{ab}=\frac{2ab}{a+b} $ , therefore $ a=b $ .
BETA
