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A man is walking on a straight line. The...

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 `(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?

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