olymmath

IMO 1984 Problem 4

  • Day 2

Let ABCDABCD be a convex quadrilateral with the line CDCD being tangent to the circle on diameter ABAB . Prove that the line ABAB is tangent to the circle on diameter CDCD if and only if the lines BCBC and ADAD are parallel.

Official text Transcription from AI-MO AoPS, checked word for word against the official paper. Quoted with source.

Official text: IMO 1984 official English paper, page 1.

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Locator imo/1984/p4 · Tag MXZT7084KR · Edit this page on GitHub · Keys: j next, k previous