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రెండు పరిశీలనల కోసం, మొత్తం S మరియు లబ్ధం P. ఈ రెండు పరిశీలనల యొక్క హార్మోనిక్ సగటు ఏమిటి?

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CDS Maths Previous Paper 9 (Held On: 2 Feb 2020)
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  1. \(\frac{2S}{P}\)
  2. \(\frac{S}{(2P)}\)
  3. \(\frac{2P}{S}\)
  4. \(\frac{P}{(2S)}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{2P}{S}\)
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Detailed Solution

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ఇచ్చినవి:

మొత్తం S మరియు లబ్ధం P.

వాడిన సూత్రం:

a మరియు b యొక్క హార్మోనిక్ సగటు = 2/(1/a + 1/b) = 2ab/(a + b)

లెక్కింపు:

మొత్తం S మరియు లబ్ధం P.

అప్పుడు, ఈ రెండు పరిశీలనల యొక్క హార్మోనిక్ సగటు = 2P/S

∴ H.M. రెండు పరిశీలనలలో 2P/S

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