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 points where the line represented by the equation \[\text{4x}-\text{3y}=-\text{ 4}\] intersects the x-axis and y-axis, respectively are given by:

    A) \[(1,0),\,\,\left( 0,\frac{4}{3} \right)\]

    B) \[(1,0),\,\,\left( 0,\frac{4}{3} \right)\]

    C) \[(-1,0),\,\,\left( 0,-\frac{4}{3} \right)\]

    D) \[(1,0),\,\,\left( 0,-\frac{4}{3} \right)\]

    Correct Answer: B

    Solution :

    The line represented by the equation \[4x-3y=-4\] will intersect the x-axis for \[y=0\]                               
    So, \[4x=-4\] or \[x=-1\]. Therefore, point is \[(-1,0)\].           
    The line will intersect the y-axis for \[x=0\].                  
    So, \[-3y=-4\,\,\,\,\Rightarrow \,\,y=\frac{4}{3}.\] Therefore, point is \[\left( 0,\frac{4}{3} \right)\].          
    So, option [b] is correct. 


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