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If the system of homogeneous equations ...

If 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` in x,y,z has a non-trivial solution, then t is a root of the equation

A

`3t^(2)-4t+1=0`

B

`2t^(2)-3t+1=0`

C

`2t^(2)+3t+1=0`

D

`3t^(2)+4t+1=0`

Text Solution

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The correct Answer is:
C
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