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JEE Main & Advanced JEE Main Paper (Held on 10-4-2019 Afternoon)

  • question_answer
    The sum of the real roots of the equatuion\[\left| \begin{matrix}    x & -6 & -1  \\    2 & -3x & x-3  \\    -3 & 2x & x+2  \\ \end{matrix} \right|=0,\]is equal to: [JEE Main 10-4-2019 Afternoon]

    A) 6                                 

    B) 1

    C) 0

    D) -4

    Correct Answer: C

    Solution :

    By expansion, we get \[-5{{x}^{3}}+30x30+5x=0\] \[\Rightarrow 5{{x}^{3}}+35x30=0\] \[\Rightarrow {{x}^{3}}7x+6=0,\] All roots are real So, sum of roots = 0                          


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