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 graphs of the equations in the given situation are plotted on the same graph paper, then:     

    A) The lines will be parallel

    B) The lines will coincide

    C) The lines will intersect

    D) Can't say

    Correct Answer: C

    Solution :

    We can find whether lines will be intersecting, coincident or parallel, by calculating the ratios of the coefficients of the pair of linear equations.                              
    As the two equations are given by           
    and      \[3x-y=24\]      
    Let us calculate the ratios of their coefficients
    As, \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \,\,\frac{{{b}_{1}}}{{{b}_{2}}},\] the two lines will intersect at a point.
    So, option [c] is correct.

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