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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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