olymmath

TR-MO-R1 2011 Problem 19

    Aşağıdaki eşitsizliklerden hangisinin xyxy-düzleminde tanımladığı bölge ile kesişimi tam olarak iki noktadan oluşan bir doğru bulunur?

    a) x2+y2≤1x^2+y^2 \le 1 b) ∣x+y∣+∣x−y∣≤1|x+y|+|x-y| \le 1 c) ∣x∣3+∣y∣3≤1|x|^3+|y|^3 \le 1

    d) ∣x∣+∣y∣≤1|x|+|y| \le 1 e) ∣x∣1/2+∣y∣1/2≤1|x|^{1/2}+|y|^{1/2} \le 1

    Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 6. Quoted with source.

    A model read this text from the scan of the paper by OCR, with vision/claude@2.1.318 (claude-opus-5-5). No person has checked it against the paper yet.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator tr-mo-r1/2011/p19 · Tag YR6QJAYNG6 · Edit this page on GitHub · Keys: j next, k previous