If x + 1/x = 1, then the value of 2x^2 - x + 2 = \,?

Answer: Option B

$$\begin{array}{rl}& \text{Given, }x+\frac{1}{x}=1\\ & \text{Find }\frac{2}{x^2-x+2}=?\\ & x+\frac{1}{x}=1\\ & x^2+1=x\\ & \left(x^2-x\right)=-1\\ & \text{Putting value in,}\\ & =\frac{2}{x^2-x+2}\\ & =\frac{2}{-1+2}\\ & =2\end{array}$$