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Consider a man standing at point 'P' at ...

Consider a man standing at point 'P' at a distance 'a' units from the wall. This man has to reach at a point 'Q' (which is on the same side of the wall). Distance between 'P' & 'Q' , measured along the wall is 'b' units , while the distance of 'Q' from the wall is 'c' units. The man has to touch the wall before arriving at point 'Q'. Locate the point on the wall that the man should touch before arriving at 'Q' , so that the distance covered by him is the least ??

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