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      Question

      In a circle of radius 10 cm, a chord is at a distance 6

      cm from the centre. The length of the chord is:
      A 10 cm Correct Answer Incorrect Answer
      B 16 cm Correct Answer Incorrect Answer
      C 28 cm Correct Answer Incorrect Answer
      D 37 cm Correct Answer Incorrect Answer

      Solution

      Perpendicular from centre to chord bisects the chord. Let half of the chord = x Then, x^2 + 6^2 = 10^2 x^2 + 36 = 100 x^2 = 64 x = 8 Chord length = 2x = 16 cm

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