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Question

If x2+1x2=A and x1x=B then least value of AB is

A
2
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B
2
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C
2
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D
22
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Solution

The correct option is B 22
AB=x2+1x2(x1/x)=(x1x)2+2(x1/x) =(x1x)+2(x1x) =p+2p where p=x1x 2 using AMGM. Minimum value is 22

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