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JEE MAIN 2021 March Attempt Mathematics Q1

Question 1: The middle term in the expansion of $\left(x^2+\dfrac{1}{x^2}+2\right)^{n}$ is (a) $\dfrac{n!}{\left(\dfrac{n}{2}!\right)^2}$ (b) $\dfrac{(2n)!}{\left(\dfrac{n}{2}!\right)^2}$ (c) $\dfrac{(2n)!}{\left(n!\right)^2}$ (d) $\dfrac{1.3.5\ldots(2n+1)}{n!}2^{n}$ Solution :