A) \[A={{G}^{2}}H\]
B) \[{{G}^{2}}=AH\]
C) \[{{A}^{2}}=GH\]
D) \[A=GH\]
E) none of these
Correct Answer: B
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) \[\therefore \] \[{{G}^{2}}=AH\]
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