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The line 2x-y+1=0 is tangent to the circ...

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

A

`5sqrt(3)`

B

`3sqrt(5)`

C

`2sqrt(5)`

D

`5sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`because tan alpha=|(2-(1)/(2))/(1+2xx(1)/(2))|=(3)/(4)`
`therefore (4)/(sqrt((4)^(2)+(8)^(2)))=(3)/(4) rArr r=3sqrt(5)`
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