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Let a be a complex number such that |a| ...

Let a be a complex number such that `|a| lt 1` and `z_(1),z_(2)…..` be vertices of a polygon such that `z_(k)=1+a+a^(3)+a^(k-1)`.
Then, the vertices of the polygon lie within a circle.

A

`|z - a| = a `

B

` | z - (1)/( 1 - a)| = | 1 - a|`

C

`| z - (1)/( 1 - a)| = (1)/(|1 - a|)`

D

`| z - (1 - a) | = | 1 - a|`

Text Solution

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The correct Answer is:
C
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