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The line \(2 x-y+1=0\) is a tangent to the circle at the point \((2,5)\) and the centre of the circle lies on \(x-2 y=4\…

Q1

The line \(2 x-y+1=0\) is a tangent to the circle at the point \((2,5)\) and the centre of the circle lies on \(x-2 y=4\). Then, the radius of the circle is:

[JEE Main 2021, 17 Mar (Shift 1)]

a

\(5 \sqrt{3}\)

b

\(4 \sqrt{5}\)

c

\(5 \sqrt{4}\)

d

\(3 \sqrt{5}\)

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