12th Class Mathematics Sample Paper Maths Olympiad Model Paper-7

  • question_answer
    The system of homogeneous equations
    \[tx+(t+1)y+(t-1)z=0\]
    \[(t+1)x+ty+(t+2)z=0\]
    \[(t-1)x+(t+2)y+tz=0\]
    has non-trivial solutions for

    A)  exactly three real values of t

    B)  exactly two real values of t

    C)  exactly one real value of t

    D)  infinite number of value of t.

    E)  None of these

    Correct Answer: C


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