📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      AB and CD are parallel tangents to a circle with center

      O. Points P and Q are on AB and CD, respectively, such that PQ touches the circle at R. Find the measure of ∠ POQ.
      A 85º Correct Answer Incorrect Answer
      B 90° Correct Answer Incorrect Answer
      C 80º Correct Answer Incorrect Answer
      D 100° Correct Answer Incorrect Answer

      Solution

      Since PQ is tangent to the circle at R, PO bisects the angles at Thus, EOP = POR = θ 1 (let) QO bisects the angle at FOR. Thus, FOQ = QOR = θ ₂ (let) Since AB and CD are parallel tangents to the circle, EF must be a straight line. Thus, from the diagram, 2 (θ 1 + θ 2) = 180° (θ 1 + θ 2) = 90° POQ = 90°

      Practice Next
      More Previous year papers Questions

      Relevant for Exams:

      ask-question