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    Question

    In ΔABC, PQ is parallel to BC If AP: PB= 3:4 and AQ= 6

    cm, AC is equal to?
    A 9 cm Correct Answer Incorrect Answer
    B 12.5 cm Correct Answer Incorrect Answer
    C 16 cm Correct Answer Incorrect Answer
    D 14 cm Correct Answer Incorrect Answer

    Solution

    As in ΔABC, PQ is parallel to BC then ΔAPQ is similiar to ΔABC, So by similarity, AP/AB = AQ/AC So 3/(3 + 4) = 6/AC or 3/7 = 6/AC or AC = 14 cm

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