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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 values of x in the following determinant equation, \[\left| \,\begin{matrix}    a+x & a-x & a-x  \\    a-x & a+x & a-x  \\    a-x & a-x & a+x  \\ \end{matrix}\, \right|=0\] are [MP PET 2003]

    A) \[x=0,x=4a\]

    B) \[x=0,x=a\]

    C) \[x=0,x=2a\]

    D) \[x=0,x=3a\]

    Correct Answer: D

    Solution :

    Trick: Putting \[x=0\] and \[x=3a,\] the value of determinant becomes zero.


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