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

  • question_answer
    If \[am\ne bl,\] then the pair of equations \[\text{ax}+\text{by}=\text{c},\] \[lx+my=n:\]:

    A) has a unique solution

    B) has no solution

    C) has infinitely many solutions

    D) may or may not have a solution

    Correct Answer: A

    Solution :

    [a] Given equations of lines are \[ax+by-c=0\]
    and   \[lx+my-n=0.\]
    Since,   \[am\ne bl\Rightarrow \frac{a}{l}\ne \frac{b}{m}\]
    \[\therefore \] The pair of equations has a unique solution.


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