question_answer

If A is the arithmetic mean and  be two geometric means between any two \[{{G}_{1}}\text{, }{{G}_{2}}\]numbers, then \[\frac{G_{1}^{2}}{{{G}_{2}}}+\frac{G_{2}^{2}}{{{G}_{1}}}\] is equal to

A)  2A                  

B)  A            

C)  3A                  

D)  None of these