If it is possible to draw a triangle which circumscribes the circle \( (x-(\alpha-2 \beta))^{2}+...

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If it is possible to draw a triangle which circumscribes the circle \( (x-(\alpha-2 \beta))^{2}+(y-(\alpha+\beta))^{2}=1 \) and is inscribed by \( x^{2}+y^{2}-2 x-4 y+1=0 \), then
(A) \( \beta=-1 / 3 \)
(B) \( \beta=2 / 3 \)
(C) \( \alpha=5 / 3 \)
(D) \( \alpha=-5 / 2 \)
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