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    Question

    In ΔABC, PQ is parallel to BC If AP: PB= 2:5 and AQ= 2

    cm, AC is equal to?
    A 7 cm Correct Answer Incorrect Answer
    B 10 cm Correct Answer Incorrect Answer
    C 9 cm Correct Answer Incorrect Answer
    D 24 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 2/(2 + 5) = 2/AC or 2/7 = 2/AC or AC = 7 cm

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