If a , b, c are all different from zero ...

If a , b, c are all different from zero and `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=0` then the value of `1+1/a+1/b+1/c` is :

A

abc

B

1/abc

C

`a^(-1)+b^(-1)+c^(-1)`

D

zero

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The correct Answer is:

D

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