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A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axes is $\frac{1}{4}$. Three stones $A$, $B$ and $C$ are placed at the points $(1, 1)$, $(2, 2)$ and $(4, 4)$ respectively. Then which of these stones is/are on the path of the man?
(1) $B$ only
(2) $A$ only
(3) All the three
(4) $C$ only
BETA
