Q.

The interval in which x (> 0) must lie so that the greatest term in the expansion of(1 + x)2n has the greatest coefficient is

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a

n−1n,nn−1

b

nn+1,n+1n

c

nn+2,n+2n

d

none of these

answer is B.

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Detailed Solution

The greatest coefficient in the expansion of (1+x)2n is Cn. We are given  2nCnxn is the greatest term.∴ 2nCn−1xn−1<2nCnxn 2nCn+1xn+1<2nCnxn⇒  2nCn−1 2nCn
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