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    Question

    In the given figure, ABC is a right angled triangle. ∠

    ABC = 90 0and ∠ ACB = 60 0. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?
    A 4 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 4.5 Correct Answer Incorrect Answer
    D 7.5 Correct Answer Incorrect Answer

    Solution

    IN ∆ PQC, PC = 2PQ PQ is radius of Bigger circle PC = 2 × R PC = 2R PC = PO +OC PC = R + 2 + 4 2R = R + 2 + 4 R = 6

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