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If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z),...

If `a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x)`, then :

A

3(x+y+z)=a

B

2a=x+y+z

C

x+y+z=0

D

x=y=z=a/3

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The correct Answer is:
D
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