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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 \[\left| \,\begin{matrix}    x-1 & 3 & 0  \\    2 & x-3 & 4  \\    3 & 5 & 6  \\ \end{matrix}\, \right|=0\], then x = [RPET 2003]

    A) 0

    B) 2

    C) 3

    D) 1

    Correct Answer: D

    Solution :

    \[\because \]Given equation reduces to \[(x-1)\,(6x-38)=0\] Þ \[3{{x}^{2}}-22x+19=0\Rightarrow (x-1)(3x-19)=0\] Þ \[x=1,\,19/3\].


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