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Distance between two points A and B is 4 unit. Both A and B are lying same side of a variable line L. Let `p_(1)` and `p_(2)` be the length of perpendicular from A and B on the L respectively such that `p_(1) + 3p_(2) = k` (k is constant). The line always touches a fixed circle C.
If k = 4 then the raidus of C will be -

A

1

B

2

C

4

D

8

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