If x + 1/x = 2 , then the value of x^12 - 1x^12 is?

Answer: Option D

$$\begin{array}{rl}& \text{Given, }x+\frac{1}{x}=2,......(i)\\ & \text{The value of }{x}^{12}-\frac{1}{x^{12}}=?\\ & \Rightarrow \text{If }x=1\\ & \Rightarrow x+\frac{1}{x}=2\\ & \Rightarrow 1+1=2\\ & \text{Then, }{x}^{12}-\frac{1}{x^{12}}\\ & \Rightarrow 1^{12}-\frac{1}{1^{12}}\\ & \Rightarrow 1-1\\ & \Rightarrow 0\end{array}$$