If \( x=\log _{a}(b c), y=\log _{b}(c a), z=\log _{c}(a b) \), then which of the following is eq....

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If \( x=\log _{a}(b c), y=\log _{b}(c a), z=\log _{c}(a b) \), then which
\( \mathrm{P} \)
of the following is equal to 1 ?
(1) \( x+y+z \)
W
(2) \( (1+x)^{-1}+(1+y)^{-1}+(1+z)^{-1} \)
(3) \( x y z \)
(4) None of these


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