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      Question

      The distance between the centers of two circles of

      radius 2 cm and 8cm is 10 cm. Find the length of the direct common tangent.
      A 6 Correct Answer Incorrect Answer
      B 3 Correct Answer Incorrect Answer
      C 8 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer

      Solution

      Length of direct common tangent = тИЪ (Distance between center) ┬▓ - (Difference between radius of two circles)2 Length of direct common tangent = тИЪ [102 тАУ (8-2)2] =тИЪ100-36 = тИЪ 64 = 8 The correct answer is 8 cm.

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