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

  • question_answer
    If the pair of linear equations \[13x+15y=3\] and \[65x+ky=6\] do not, have any solution, which of the following is true?

    A)  \[k\ne 80\]                    

    B)  \[k=75\]

    C)  \[k\ne 65\]                    

    D)  \[k\ne 75\]

    Correct Answer: B

    Solution :

    (b): Condition is \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] i.e. \[\frac{13}{65}=\frac{15}{k}\ne \frac{-3}{-6}\Rightarrow k=75\]and \[k\ne 30\] which is automatically true if \[k=75\]


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