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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 system of equations \[\text{x+y}-\text{4=0}\]and \[\text{2x}+\text{ky}=\text{3}\] has no solution, is:

    A) \[-2\]

    B) \[\ne 2\]

    C) 2

    D) 3

    Correct Answer: C

    Solution :

    For no solution,
    \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\,\,\,\,\Rightarrow \,\,\,\,\,\frac{1}{2}=\frac{1}{k}\ne \frac{4}{3}\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,k=2\]
    So, option [c] is correct.


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