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 $ .