If x + 1/x = 2 then x^2 + 1x^2 is equal to?

Answer: Option B

$$\begin{array}{rl}& x+\frac{1}{x}=2\\ & \text{But }x=1\\ & \text{So, }{x}^2+\frac{1}{x^2}=1^2+\frac{1}{1^2}=2\end{array}$$