10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    The equations representing in the adjoining graph are

    A)  \[7x+2y=11;y-2x=3\]

    B)  \[2x+7y=11;\,5x+\frac{35}{2}y=25\]

    C)  \[3x-7y=10\,;8y-6x=4\]

    D)  \[3x-4y=1\,;8y-6x=4\]  

    Correct Answer: D

    Solution :

     Equations of lines passing from\[(-2,\,\,-1),\,\,(2,\,\,2)\]and\[(-1,\,\,-1),\,\,(3,\,\,2)\]are respectively                 \[y-2=\frac{2-(-1)}{2-(-2)}(x-2)=\frac{3}{4}x(x-2)\] and        \[y-2=\frac{2-(-1)(x-3)}{3-(-1)}=\frac{3}{4}(x-3)\] or            \[4y-8=3x-6\]and\[4y-8=3x-9\] or            \[4y-3x=2\]and\[3x-4y=1\] or            \[8y-6x=4\]and\[3x-4y=1\]


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