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

  • question_answer The value of k, for which the system of equations \[kx-3y+6=0,\text{ }4x-6y+15=0\]represent parallel lines, is ____.     

    A)  1                                

    B)  2                    

    C)  3                    

    D)         4                    

    Correct Answer: B

    Solution :

    It is given that, \[kx-3y+6=0\]and \[4x-6y+15=0\]are two parallel lines,                       i.e., The given lines has no solution or         \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] \[\Rightarrow \]  \[\frac{k}{4}=\frac{-3}{-6}\ne \frac{6}{15}\]  \[\Rightarrow \] \[\frac{k}{4}=\frac{3}{6}\] \[\Rightarrow \] \[k=2\]

adversite


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