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triangle with min area, Oxy

Source: 1987 Greece MO Grade XII p4

September 6, 2024
geometryanalytic geometry

Problem Statement

In rectangular coodinate system OxyOxy, consider the line y=3xy=3x and point A(4,3)A(4,3). Find on the line y=3xy=3x, point B≠OB\ne O such that the area of triangle OBCOBC is the minimum possible, where C=AB∩OxC= AB\cap Ox.
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