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Questions  >>  CBSE XI  >>  Math  >>  Binomial Theorem
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Q)

If $n$ is even,then the greatest coefficient in the expansion of $(x+a)^n$ is

$\begin{array}{1 1}(A)\;nC_{\Large\frac{n}{2}+1}\\(B)\;nC_{\Large\frac{n}{2}-1}\\(C)\;nC_{\Large\frac{n}{2}}\\(D)\;\text{None of these}\end{array} $

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A)
Since n is even ,the greatest coefficient in $(x+a)^n$ is $nC_{\Large\frac{n}{2}}$
Hence (C) is the correct answer.
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