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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)`

Text Solution

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The correct Answer is:
D
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