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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    If \[a+b+c=0,\] then what is the value of \[\frac{{{a}^{2}}}{bc}+\frac{{{b}^{2}}}{ca}+\frac{{{c}^{2}}}{ab}?\]

    A)  \[-\,\,3\]

    B)  0       

    C)  1

    D)  3

    Correct Answer: D

    Solution :

    Given \[a+b+c=0\] \[\Rightarrow \]   \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3abc\] \[\Rightarrow \]   \[\frac{{{a}^{3}}}{abc}+\frac{{{b}^{3}}}{abc}+\frac{{{c}^{3}}}{abc}=3\] \[\Rightarrow \]\[\frac{{{a}^{2}}}{bc}+\frac{{{b}^{2}}}{ac}+\frac{{{c}^{2}}}{ab}=3\]


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