A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axis is \( \frac{1}{4} \). Three stones, \( A, B \) and \( C \) are placed at the point \( (1,1),(2,2) \) and \( (4,4) \) respectively. Then which of these stones is/are on the path of the man

[JEE Main 2021, 24 Feb (Shift 1)]

Question

A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axis is \( \frac{1}{4} \). Three stones, \( A, B \) and \( C \) are placed at the point \( (1,1),(2,2) \) and \( (4,4) \) respectively. Then which of these stones is/are on the path of the man

[JEE Main 2021, 24 Feb (Shift 1)]

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