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If x , y , z are different from zero an...

If `x , y , z` are different from zero and `|[1+x,1, 1],[1 , 1+y ,1],[ 1 ,1, 1+z]|=0` then the value of `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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