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 coordinates of the points where the two Lines, when plotted on a graph paper, intersect the x-axis are:

    A) \[(4,0)\] and \[(8,0)\]

    B) \[(-4,0)\] and \[(8,0)\]

    C)  \[(4,0)\]and \[(-8,0)\]

    D) \[(-4,0)\] and \[(-8,0)\]

    Correct Answer: A

    Solution :

    The points where the two lines will intersect the x-axis can be found by putting \[y=0\] in both the equations, as the y-coordinate of all points lying on the x-axis is zero.
    Putting \[y=0\] in the equations \[x-y=4\] and \[3x-y=24,\]we get \[x=4\] and\[x=8,\]  respectively.
    Therefore, the points are \[(4,0)\] and \[(8,0)\].
    So, option [a] is correct,

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