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If G1 and G2 are two geometric means and A is the arithmetic mean inserted between two positive numbers then the value ofG12G2+G22G1 is 

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a
A/2
b
A
c
2A
d
none of these

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detailed solution

Correct option is C

G1=ar,G2=ar2 where r=ba1/3.G12G2+G22G1=G13+G23G1G2=a3r3+a3r6a2r3=a+ar3=a+b=2A


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