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      Question

      The mean proportional of a and b is c. What is the mean

      proportional of a2 c and b2 c?
      A C Correct Answer Incorrect Answer
      B 3c Correct Answer Incorrect Answer
      C c³ Correct Answer Incorrect Answer
      D c² Correct Answer Incorrect Answer

      Solution

      ATQ, According to the question, c² = ab where c is the mean proportional of a and b Now, the mean proportion of a²c and b²c  = √(b²c × a²)  =a.b.c ⇒ c² × c ⇒ c³ Hence, The Required value is c³.

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