10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

  • question_answer
    The pair of linear equations \[\text{2x}-\text{3y}=\text{1}\]and \[\text{3x}-\text{2y}=\text{4}\]has:     (CBSE 201I)

    A) one solution

    B) two solutions

    C) no solution

    D) many solutions

    Correct Answer: A

    Solution :

    [a] \[{{a}_{1}}=2,\,\,{{b}_{1}}=-3,\,\,{{c}_{1}}=-1\]
    \[{{a}_{2}}=3,\,\,{{b}_{2}}=-2,\,\,{{c}_{2}}=-4\]
    \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{2}{3},\,\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{3}{2}\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\]
    \[\therefore \] Unique solution of one solution.


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