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

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n−1n,nn−1

nn+1,n+1n

nn+2,n+2n

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Correct option is B

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