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Question

The interval in which x must lie so that the greatest term in the expression of (1+x)2n has the greatest coefficient, is

A
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B
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C
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D
None of these
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Solution

The correct option is B

Here the greatest coefficient is 2nCn
2nCnxn>2nCn+1xn1x>nn+1
and 2nCnxn>2nCn1xn+1x<n+1n
Hence the required interval is (nn+1,n+1n).


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