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If 1, omega, ......,omega^(n-1) are the...

If `1, omega, ......,omega^(n-1)` are the `n^(th)` roots of unity,then value of `1/(2-omega)+1/(2-omega^2)........+1/(2-omega^(n-1)` equals

A

`(1)/(2^(n)-1)`

B

`(n(2^(n)-1))/(2^(n)+1)`

C

`((n-2)2^(n-1))/(2^(n)-1)`

D

None of these

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
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