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SSC Sample Paper SSC CGL - Sample Paper-16

  • question_answer
    If the sum of \[\frac{a}{b}\] and its reciprocal is 1 and \[a\ne b,\] \[b\ne 0,\] then the value of \[{{a}^{3}}+{{b}^{3}}\] is

    A) 2                                 

    B) \[-1\]

    C) 0                     

    D) 1

    Correct Answer: C

    Solution :

    From the question, \[\frac{a}{b}+\frac{b}{a}=1\] \[\Rightarrow \]   \[{{a}^{2}}+{{b}^{2}}=ab\] \[\Rightarrow \]   \[{{a}^{2}}-ab+{{b}^{2}}=0\] \[\therefore \]      \[{{a}^{3}}+{{b}^{3}}\]             \[=(a+b)({{a}^{2}}-ab+{{b}^{2}})=0\]        


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