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?

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Morning shift · Q5613

JEE Main 202124 Feb, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

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 \over 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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