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CLAT Sample Paper CLAT Sample Paper-1

  • question_answer
    If \[(x+k)\] is a common factor of \[({{x}^{2}}+px+q)\] and \[({{x}^{2}}+1x+m),\] then the value of k is

    A)  \[l+p\]

    B)  \[m-q\]

    C)  \[\frac{l-p}{m-q}\]

    D)  \[\frac{m-q}{l-p}\]

    Correct Answer: D

    Solution :

    Since, \[(x+k)\] is a factor of each one of the given expression. Since, \[x=-k\] will make each zero. \[\therefore \] \[{{k}^{2}}-pk+q={{k}^{2}}-lk+m=0\] \[\therefore \] \[k=\frac{m-q}{l-p}\]


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