If the coefficients of \({x}^{7}\) in \({\left({x}^{2}+\frac{1}{bx}\right)}^{11}\) and \({x}^{-7}\) in \({\left(x-\frac{…

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

[JEE Main 2021, 27 Jul (Shift 1)]