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 = √ (Distance between center) ² - (Difference between radius of two circles)2 Length of direct common tangent = √ [102 – (8-2)2] =√100-36 = √ 64 = 8 The correct answer is 8 cm.

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