JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Self Evaluation Test - Determinats

  • question_answer
    The number of values of k for which the system of equations \[(k+1)x+8y=4k;\] \[kx+(k+3)y=3k-1\] has infinitely many solutions is

    A) 0

    B) 1

    C) 2

    D) infinite            

    Correct Answer: B

    Solution :

    [b] For infinitely many solutions the two equations become identical \[\Rightarrow \,\,\,\frac{k+1}{k}=\frac{8}{k+3}=\frac{4k}{3k-1}\Rightarrow k=1\]


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