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    • Question

      Two chords PQ and RS intersect each other at point ‘A’

      inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
      A 4.2 cm Correct Answer Incorrect Answer
      B 3.6 cm Correct Answer Incorrect Answer
      C 2.4 cm Correct Answer Incorrect Answer
      D 5.2 cm Correct Answer Incorrect Answer

      Solution

      PA = 5 – 1.8 = 3.2 cm
      Since, PQ and RS are two chords and intersect each other at point ‘A’.
      So, PA × AQ = RA × AS
      Or, 3.2 × 1.8 = 3.6 × AS
      So, AS = 1.6 cm
      And, RS = RA + AS = 3.6 + 1.6 = 5.2 cm

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