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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
    If the line \[\text{2x}+\text{6y}=\text{5}\] intersect the X-axis, then find its coordinate.

    A) \[(-2.5,0)\]

    B) \[(2.5,0)\]

    C) \[(0,2.5)\]

    D) \[(0,-2.5)\]

    Correct Answer: B

    Solution :

    The y-coordinate on x-axis zero.
    Put \[y=0\] in \[2x+6y=5,\] we get                    
                \[2x+6(0)=5\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,x=\frac{5}{2}=2.5\]
    Hence, the coordinates of x-axis is \[(2.5,\,0).\]
    So, option [b] is correct.


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