A) \[2\]
B) \[\frac{PQ}{P+Q}\]
C) \[\frac{1}{2}\]
D) \[\frac{P+Q}{PQ}\]
Correct Answer: A
Solution :
\[\because \]H is the harmonic mean between P and Q \[\therefore \] \[H=\frac{2PQ}{P+Q}\] \[\Rightarrow \] \[\frac{H}{P}=\frac{2Q}{P+Q}\]and \[\frac{H}{Q}=\frac{2P}{P+Q}\] \[\therefore \] \[\frac{H}{P}+\frac{H}{Q}=\frac{2Q}{P+Q}+\frac{2P}{P+Q}=\frac{2(P+Q)}{P+Q}=2.\]
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