9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    The value of k for which the system of equations \[\mathbf{x+3y=6,3x+ky+18=0}\] has no solution, is

    A)  6                                

    B)  -6

    C)  9  

    D)  -9

    Correct Answer: C

    Solution :

    (c): \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\]and \[{{a}_{2}}x+{{b}_{2}}y+c=0\]will have no solution if \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\Rightarrow \frac{1}{3}=\frac{3}{k}\] \[\Rightarrow k=9\]                                


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