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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-1

  • question_answer
    If\[x={{k}^{3}}-3{{k}^{2}}\]and\[y=1-3k\], then for what value of\[k\], will be\[x=y\]?

    A) \[0\]                             

    B) \[1\]  

    C) \[-1\]                

    D)        \[2\]

    Correct Answer: B

    Solution :

    \[x={{k}^{3}}-3{{k}^{2}}\] When\[x=y\], then             \[{{k}^{3}}-3{{k}^{2}}=1-3k\] \[\Rightarrow \]   \[{{k}^{3}}-3{{k}^{2}}+3k-1=0\] \[\Rightarrow \]   \[{{(k-1)}^{3}}=0\Rightarrow k-1=0\] \[\Rightarrow \]   \[k=1\]


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