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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Expansion of determinants, Solution of equation in the form of determinants and properties of determinants

  • question_answer
    If \[\left| \begin{matrix}    1 & 2 & 3  \\    2 & x & 3  \\    3 & 4 & 5  \\ \end{matrix}\, \right|=0,\]then x =       [Karnataka CET 1994]

    A) - 5/2

    B) -2/5

    C) 5/2

    D) 2/5

    Correct Answer: C

    Solution :

    Since \[x=\frac{5}{2}\] satisfies the given determinant.


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