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If x,y andz are three real numbers such ...

If `x,y` and`z` are three real numbers such that `x+y+z=4` and `x^2+y^2+z^2=6`,then show that each of x,y and z lie in the closed interval `[2/3,2]`

A

[2/3,2]

B

[0,2/3]

C

[0,2]

D

[-1/3,2/3]

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