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The number of real values of $t$ such that 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, is

\[(a)\;3 \quad (b)\;2 \quad (c)\;1 \quad (d)\;4 \]

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(c) 1
answered Nov 7, 2013 by pady_1

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