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The straight line $x + 2y = 1$ meets the coordinate axes at $A$ and $B$. A circle is drawn through $A$, $B$ and the origin. Then the sum of perpendicular distances from $A$ and $B$ on the tangent to the circle at the origin is:
(1) $\frac{\sqrt{5}}{2}$
(2) $2\sqrt{5}$
(3) $\frac{\sqrt{5}}{4}$
(4) $4\sqrt{5}$
BETA
