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

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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