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Question

The positive numbers x and y satisfy xy = 1. Then the value of x such thatis minimum.


A

is a rational number

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B

is an irrational number

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C

is greater than two

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D

is 2.

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Solution

The correct option is B

is an irrational number


As xy = 1 or x = 1/y, we have

Hence the minimum value required is 1 and is got when


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