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]

• A. 2
• B. $\frac{pq}{p+q}$
• C. $\frac{p+q}{pq}$
• D. None of these

Answer 1

The correct option is A 2

As given $H=\frac{2pq}{p+q}$
$\therefore \frac{H}{p}+\frac{H}{q}=\frac{2q}{p+q}+\frac{2p}{p+q}=\frac{2(p+q)}{p+q}=2.$