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      Question

      In a circle of radius 17 cm, a chord is at a distance 8

      cm from the centre. The length of the chord is:
      A 30 cm Correct Answer Incorrect Answer
      B 42 cm Correct Answer Incorrect Answer
      C 60 cm Correct Answer Incorrect Answer
      D 22 cm Correct Answer Incorrect Answer

      Solution

      Perpendicular from centre to chord bisects the chord. Let half of the chord = x Then, x^2 + 8^2 = 17^2 x^2 + 64 = 289 x^2 = 225 x = 15 So chord length = 2x = 30 cm

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