$\begin{array}{1 1}(A)\;356\\(B)\;252\\(C)\;210\\(D)\;120\end{array} $

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- Sum of the coefficient =$2^n$
- If $n$ is even middle term =$\large\frac{n+2}{2}$

Sum of the coefficient =$2^n$

$\Rightarrow 2^n=1024$

$\Rightarrow 2^{10}=1024$

$2^n=2^{10}$

$n=10$

Middle term =$\large\frac{T_{10+2}}{2}$

$\Rightarrow T_6$

$T_{5+1}=10C_5x^5y^5$

$\qquad=252x^5y^5$

$\therefore$ Greatest coefficient =252

Hence (B) is the correct answer.

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