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If x , y, z in R, x + y + z= 4 and x^(2)...

If `x , y, z in R, x + y + z= 4 and x^(2) + y^(2) + z^(2) = 6`, then the maximum possible value of z is

A

`sqrt5 -1`

B

`sqrt3`

C

2

D

None of these

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