The line \( 2 x-y+1=0 \) is tangent to the circle at the point \( (2,5) \) and the center of the...
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The line \( 2 x-y+1=0 \) is tangent to the circle at the point \( (2,5) \) and the center of the circle lies on \( x-2 y=4 \). The radius of the circle is
(A) \( 3 \sqrt{5} \)
(B) \( 5 \sqrt{3} \)
(C) \( 2 \sqrt{5} \)
(D) \( 5 \sqrt{2} \)
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