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Parametrization of a ray

Source: Czech and Slovak Olympiad 1975, National Round, Problem 4

July 20, 2024
parameterizationalgebralinear algebraLineabsolute valueanalytic geometry

Problem Statement

Determine all real values of parameter pp such that the equation ∣x−2∣+∣y−3∣+y=p|x-2|+|y-3|+y=p is an equation of a ray in the plane xy.xy.
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