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JEE Main & Advanced Mathematics Sequence & Series Question Bank Relation between AP., GP. and HP.

  • question_answer
    If the A.M., G.M. and H.M. between two positive numbers \[a\] and \[b\] are equal, then [RPET 2003]

    A) \[a=b\]

    B) \[ab=1\]

    C) \[a>b\]

    D) \[a<b\]

    Correct Answer: A

    Solution :

    Given that \[A.M.=G.M.=H.M.\] \[\Rightarrow \]\[\frac{a+b}{2}=\sqrt{ab}=\frac{2ab}{a+b}\], therefore\[a=b\].


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