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

  • question_answer
    Match the column:
    1. \[2x+5y=7\] \[3x+4y=7\] A. Inconsistent pair of equations
    2. \[2x+5y=7\] \[4x+10y=7\] B. Consistent pair of equations
    3. \[2x+5y=7\] \[4x+10y=14\] C. Dependent consistent pair of equations

    A) 1-A, 2-C, 3-B

    B) 1-B, 2-C, 3-A

    C) 1-B, 2-A, 3-C

    D) 1-C, 2-A, 3-B

    Correct Answer: C

    Solution :

    [c] (1) \[\frac{2}{3}\ne \frac{5}{4}\]        \[\therefore \] consistent pair.
    (2) \[\frac{2}{4}=\frac{5}{10}\ne \frac{7}{7}\]  \[\therefore \] inconsistent pair.
    (3) \[\frac{2}{4}=\frac{5}{10}=\frac{7}{14}\] \[\therefore \]dependent and consistent.


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