If the Harmonic mean between P and Q be H then H $$1P+1Q$$ is

Harmonic mean between P,Q is $$H=2PQP+Q$$⇒$$H(P+Q)PQ=2$$⇒$$H1P+1Q=2$$

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Question

$If the Harmonic mean between P and Q be H then \underset{}{\underset{}{H}} (\frac{1}{P} + \frac{1}{Q}) is$

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Solution

$Harmonic mean between P, Q is H = \frac{2 P Q}{P + Q} \Rightarrow \frac{H (P + Q)}{P Q} = 2$
$\Rightarrow H (\frac{1}{P} + \frac{1}{Q}) = 2$

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