Question

    The distance between the centers of two circles of radii 4 cm and 2 cm is 10 cm. The length (in cm) of a transverse common tangent is:

    A 6 Correct Answer Incorrect Answer
    B 13 Correct Answer Incorrect Answer
    C 11 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    The radius of the first circle (r1) = 4 cm Radius of the second circle (r₂) = 2 cm Distance between centers (d) = 10 cm L2= d² (r1+r2)2 L2=102-(4+2)2 L2= 100-36 L2=64 L= 8 The length of the transverse common tangent is 8 cm.

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