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

  • question_answer
    The value of K for which the system of equations
    \[\begin{align}   & \,\,\,\,\,\,x+Ky=3 \\  & 11x-77y=87 \\ \end{align}\]
    has a unique solution, is

    A)  \[K=13\]                      

    B)  \[K\ne -7\]     

    C)  \[K=87\]                      

    D)  \[K\ne 0\]          

    Correct Answer: B

    Solution :

    (b): \[\frac{1}{11}\ne \frac{K}{-77}\ne \frac{-3}{-87}\Rightarrow K\ne -7\] and \[K\ne \frac{-77\times 3}{87}\]  


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