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Algebra Complex Numbers De Moivre Theorem

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Let a be a complex number such that |a | < 1 and z₁,z₂,..... be vertices of a polygon such that Z_k = 1 + a + a² + ....+ a^k-1. Then the vertices of the polygon lie within a circle

A. | z - a |= a

D. |z - (1 - a)| = |1 -a|

E. None of the above

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Correct choice: C

Explanation:

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Eamcet Mathematics Algebra Complex Numbers De Moivre Theorem

Eamcet Mathematics
Algebra Complex Numbers De Moivre Theorem