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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    For what value of k, the following system of equations \[3x+4y=6\] and \[6x+8y=k\]represents coincident lines?                           

    A)  12       

    B)  11

    C)  13                               

    D)  10

    Correct Answer: A

    Solution :

    The system of equations represents coincident line, it \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\] i.e.        \[\frac{3}{6}=\frac{4}{8}=\frac{6}{k}\] \[\Rightarrow \]   \[4k=6\times 8\] \[\Rightarrow \]   \[k=\frac{48}{4}=12\]                        


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