If \( x, y, z \) are all different from zero and \( \left|\begin{ar...
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If \( x, y, z \) are all different from zero and \( \left|\begin{array}{ccc}1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z\end{array}\right|=0 \), then value of
P
W \( x^{-1}+y^{-1}+z^{-1} \) is
(A) \( x y z \)
(B) \( x^{-1} y^{-1} z^{-1} \)
(C) \( -x-y-z \)
(D) \( -1 \)
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