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    Question

    In ╬ФABC, PQ is parallel to BC If AP: PB=1:2 and AQ=3

    cm, AC is equal to?
    A 9 cm Correct Answer Incorrect Answer
    B 25 cm Correct Answer Incorrect Answer
    C 16 cm Correct Answer Incorrect Answer
    D 14 cm Correct Answer Incorrect Answer

    Solution

    As in ╬ФABC, PQ is parallel to BC then ╬ФAPQ is similiar to ╬ФABC, So by similarity, AP/AB = AQ/AC So 1/(1+2) = 3/AC or 1/3 = 3/AC or AC = 9cm

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