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12th Class Mathematics Sample Paper Maths Olympiad Model Paper-2

  • question_answer
    Consider the system of linear equations
    \[{{x}_{1}}+2\,{{x}_{2}}+{{x}_{3}}=3\]
    \[2{{x}_{1}}+3\,{{x}_{2}}+{{x}_{3}}=3\]
    \[3{{x}_{1}}+5\,{{x}_{2}}+2{{x}_{3}}=1\]
    The system has

    A)  Infinite number of solutions

    B)  Exactly 3 solutions

    C)  A unique solution

    D)  No solution

    E)  None of these

    Correct Answer: D

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