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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-6

  • question_answer
    If \[\frac{a}{b}+\frac{b}{a}\]=1.a \[\cancel{=}0,b\cancel{=}0\] the value of o3 + b3 is

    A)  0                                

    B)  1

    C)  -1                   

    D)         2

    Correct Answer: A

    Solution :

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


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