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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
    The roots of the determinant equation (in x)  \[\left| \,\begin{matrix}    a & a & x  \\    m & m & m  \\    b & x & b  \\ \end{matrix}\, \right|=0\] [EAMCET 1993]

    A) \[x=a,b\]

    B) \[x=-a,-b\]

    C) \[x=-a,b\]

    D) \[x=a,-b\]

    Correct Answer: A

    Solution :

    Obviously, the determinant is satisfied for\[x=a,b\].


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