1. Tardigrade
  2. Question
  3. Mathematics
  4. If A, G, H denotes respectively the AM, GM and HM between two unequal positive numbers, then:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If A, G, H denotes respectively the AM, GM and HM between two unequal positive numbers, then:

KEAMKEAM 2001

Solution:

Let A, G, H be AM, GM and HM respectively between two unequal numbers a and b. $ \therefore $ $ A=\frac{a+b}{2} $ ...(i) $ G=\sqrt{ab} $ ...(ii) and $ H=\frac{2ab}{a+b} $ ?.(iii) $ \therefore $ $ {{G}^{2}}=AH $