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      Question

      Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.

      A 22 √7 Correct Answer Incorrect Answer
      B 8 √14 Correct Answer Incorrect Answer
      C 4 √14 Correct Answer Incorrect Answer
      D 12 √7 Correct Answer Incorrect Answer

      Solution

      Here, O is the centre and PQ is the chord of the circle. In APOR OP2 = OR2 + PR2 (15)2 = (13)2 + PR2 PR2 = 225-169 = 56 PR = √56 = 2√14 cm PQ is tangent so, OR PQ PQ = PR + RQ 2√14 + 2√14 (As PR = RQ) = 4√14 cm

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