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Question

If a,b,c,d are positive numbers, then ab+cd<2√abcd


A

True

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B

False

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Solution

The correct option is B

False


As a,b,c,d are positive numbers, So ab,cd are also positive

Now as AM > GM

ab+cd2>2(ab)(cd)

ab+cd>2 abcd

Hence given statement is False.


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