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

  • question_answer
    If a pair of linear equations is consistent, then the lines will be

    A) parallel

    B) always coincident

    C) intersecting or coincident

    D) always intersecting

    Correct Answer: C

    Solution :

    Condition for a consistent pair of linear equations \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\] [intersecting lines having unique solution] and   \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\] [coincident or dependent]


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