Multiple Choice Questions on The system of equation 2x y ndash 3z 5 3x ndash 2y 2z 5 and 5x ndash 3y ndash z 16 ........ for NDA Exam Preparation

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Multiple Choice Questions

The system of equation 2x y ndash 3z 5 3x ndash 2y 2z 5 and 5x ndash 3y ndash z 16 ........

Mathematics (NDA) Matrices and Determinants
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    The system of equation

    2x + y – 3z = 5

    3x – 2y + 2z = 5 and

    5x – 3y – z = 16

    is inconsistent

    Incorrect Answer

    is consistent, with a unique solution

    Correct Answer

    is consistent, with infinitely many solutions

    Incorrect Answer

    has its solution lying along x-axis in three dimensional space

    Incorrect Answer
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    Explanation:

    Since\; \begin{vmatrix} 2 & 1 & -3\\ 3 & -2 & 2\\ 5 & -3 & -1 \end{vmatrix}=2(2+6)-1(-3-10)-3(-9+10)
    =16+13-3=26\neq0
    ⇒ System is consistent with unique solution

    By: Munesh Kumari
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