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

  • question_answer
    If  \[\frac{b+a}{b-a}=\frac{b+c}{b-c}\], then\[a,\ b,\ c\] are in

    A) A.P.

    B) G.P.

    C) H.P.

    D) None of these

    Correct Answer: D

    Solution :

    By componendo and dividendo, We have\[\frac{b+a}{b-a}=\frac{b+c}{b-c}\Rightarrow \frac{b}{a}=\frac{b}{c}\Rightarrow a=c\].


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