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 Correct Answer Incorrect Answer
    D 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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