Sequence And Series Question 12
Question: If $ H $ is the harmonic mean between $ p $ and $ q $ , then the value of $ \frac{H}{p}+\frac{H}{q} $ is
[MNR 1990; UPSEAT 2000, 01]
Options:
A) 2
B) $ \frac{pq}{p+q} $
C) $ \frac{p+q}{pq} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
As given $ H=\frac{2pq}{p+q} $
$ \therefore \ \ \frac{H}{p}+\frac{H}{q}=\frac{2q}{p+q}+\frac{2p}{p+q}=\frac{2,(p+q)}{p+q}=2 $ .