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

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

A

`5 sqrt 3`

B

`3 sqrt5`

C

`2 sqrt 5`

D

`5 sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
`:. tan alpha=abs((2-1/2)/(1 +2 xx 1/2)) = 3/4`
`:. r/(sqrt((4)^2 + (8)^2)) = 3/4 rArr 4 = 3 sqrt5`
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