Quantitative Aptitude – Triangle – XYZ is an equilateral triangle

XAT 2020 Exam Paper – Quantitative Aptitude – Triangle – XYZ is an equilateral triangle

Q. XYZ is an equilateral triangle, inscribed in a circle. P is a point on the arc YZ such that X and P are on opposite sides of the chord YZ. Which of the following MUST always be true?
  1. XZ + YP = XY + PZ
  2. XP = XY
  3. XP + PZ = XY + YP
  4. XP = YP + PZ
  5. XP = XY + YZ

Answer: XP = YP + PZ

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