JEE Main & Advanced Mathematics Determinants & Matrices Question Bank System of linear equations, Some special determinants, differentiation and integration of determinants

  • question_answer
    The system of equations\[x+y+z=6\], \[x+2y+3z=10,x+2y+\lambda z=\mu \], has no solution for [Orissa JEE 2003]

    A) \[\lambda \ne 3,\mu =10\]

    B) \[\lambda =3,\mu \ne 10\]

    C) \[\lambda \ne 3,\mu \ne 10\]

    D) None of these

    Correct Answer: B

    Solution :

    The value of the determinant will vanish if \[\lambda =3\] and \[{{\Delta }_{1}}\ne 0\], \[\therefore \,\,\mu \ne 10\].


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