10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Case Based (MCQs) - Pair of Linear Equations in Two Variables

  • question_answer
    The value of k for which the pair of linear equations \[-x+y=-1,\] \[x+ky=5\] will be inconsistent, is:        

    A) \[k=1\]

    B) \[k=-1\]

    C) \[k\ne -1\]

    D) \[k\ne 1\]

    Correct Answer: B

    Solution :

    For the pair of linear equations to be inconsistent.
    \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\,\,\frac{-1}{1}=\frac{1}{k}\ne \frac{-1}{5}=k=-1\]        So, option [b] is correct.  


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