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Mathematics · 2021

JEE Main · 27 July 2021, Shift 1 · Q63

If the coefficients of x^7 in (x^2+1/bx)^11 and x^-7 in (x-1/(b x^2))^11, b ≠ 0, are equal, then the value of b is equal to:

If the coefficients of $\displaystyle x^7$ in $\displaystyle \left(x^2+\frac{1}{\mathrm{bx}}\right)^{11}$ and $\displaystyle x^{-7}$ in $\displaystyle \left(x-\frac{1}{\mathrm{~b} x^2}\right)^{11}, \mathrm{~b} \neq 0$, are equal, then the value of $\displaystyle b$ is equal to:
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