In the complex plane, let z_1 = \sqrt3 + i and z_2 =\sqrt 3 - i be two adjacent vertices of an n-sided regular polygon centered at origin. Then n equals

KVPY SX SB Exam 19-Nov-2017 Question Paper

Question : 12 of 120

Marks: +1, -0

In the complex plane, let

z_1 = √3 + i

and

z_2 =√ 3 - i

be two adjacent vertices of an n-sided regular polygon centered at origin.
Then n equals

Solution:

{2π}/n=π/3

n = 6

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