A line `2x + y = 1` intersect co-ordinate axis at points `A` and `B`. A circle is drawn passing through origin and point `A` & `B`. If perpendicular from point `A` and `B` are drawn on tangent to the circle at origin then sum of perpendicular distance is (A) `5/sqrt2` (B) `sqrt5/2` (C) `sqrt5/4` (D) `5/2`
A. `(sqrt(5))/(4)`
B. `(sqrt(5))/(2)`
C. `2sqrt(5)`
D. `24sqrt(5)`