If alpha and beta be the roots of the equation

Question:

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

  1. 2

  2. 3

  3. 4

  4. 5


Correct Option: , 3

Solution:

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