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# 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: