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

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n−1n,nn−1

nn+1,n+1n

nn+2,n+2n

None of these

answer is B.

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Detailed Solution

Here, the greatest coefficient is 2nCn.∴ 2nCnxn>2nCn+1xn−1⇒x>nn+1 and 2nCnxn>2nCn−1xn+1⇒x

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