If a and b be the roots of the equation x 2 – 2x + 2 = 0, then the least value of n for which n æ ö a ç ÷ è ø b = 1 is :

Question:
If $\alpha$ and $\beta$ be the roots of the equation $x^{2}-2 x+2=0$, then the least value of $n$ for which $\left(\frac{\alpha}{\beta}\right)^{n}=1$ is :

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.