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  5. Pair of Linear Equations in Two Variables

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

  • question_answer
    The value of k for which the lines \[3x+4y=5,\]\[5x+4y=4\] and \[\text{kx}+\text{4y}=\text{6}\] meet at a point is:

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: A

    Solution :

    [a]   lines meet at a point
    \[\Rightarrow \]solution set of \[3x+4y=5\] and \[5x+4y=4\] also satisfies the equation \[kx+4y=6.\].
    Solving, we get \[k=1\]


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