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2 equidistant points wanted - 1991 Greece MO Grade X p2

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September 6, 2024
geometryangle

Problem Statement

Let xOy^\widehat{xOy} be an acute angle , AA a point on ray OyOy and BB a point on ray OxOx such that AB⊥OXAB \perp OX .Prove that there are two points on OxOx, each of the equidistant from AA and OxOx.
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