If omega ne 1 is a cube root of unity su...

If `omega ne 1` is a cube root of unity such that :
`(1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2omega^(2)` and `(1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2omega` , then the value of `(1)/(a+1)+(1)/(b+1)+(1)/(c+1)` is :

A

-2

B

-1

C

1

D

2

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The correct Answer is:

d

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If `omega ne 1` is a cube root of unity such that : `(1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2omega^(2)` and `(1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2omega` , then the value of `(1)/(a+1)+(1)/(b+1)+(1)/(c+1)` is :

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If `omega ne 1` is a cube root of unity such that :
`(1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2omega^(2)` and `(1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2omega` , then the value of `(1)/(a+1)+(1)/(b+1)+(1)/(c+1)` is :