If x, y, z are all different and not equ...

If x, y, z are all different and not equal to 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 equal to

A

xyz

B

`x^(-1)y^(-1)z^(-1)`

C

`-x-y-z`

D

`-1`

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The correct Answer is:

D

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