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Railways Sample Paper RRB (Group D) Sample Test Paper-5

  • question_answer
    If \[a+b+c=0\], the value of \[\left( \frac{{{a}^{2}}}{bc}+\frac{{{b}^{2}}}{ca}+\frac{{{c}^{2}}}{ab} \right)\,\,is\]

    A)  2                    

    B)  3

    C)  4                    

    D)  5

    Correct Answer: B

    Solution :

    [b] If \[a+b+c=0\] Then \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3\]abc Dividing both sides by abc \[\frac{{{a}^{3}}}{abc}+\frac{{{b}^{3}}}{abc}+\frac{{{3}^{3}}}{abc}=\frac{3abc}{abc}\] \[\frac{{{a}^{2}}}{bc}+\frac{{{b}^{2}}}{ac}+\frac{{{c}^{2}}}{ab}=3\]


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