Complex Numbers

Section: Mathematics

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Question : 20 of 36

Marks: +1, -0

For any integer k, let αk=cos(

kπ

7

)+isin(

kπ

7

), where i=√−1. The value of the of the expression

12

Σ

k=1

|αk+1−αk|

3

Σ

k=1

|α4k+1−α4k−2|

is

[JEE Adv 2015 P2]

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