Complex NumbersHard
Question
Points z1 & z2 are adjacent vertices of a regular octagon. The vertex z3 adjacent to z2 (z3 ≠ z1) is represented by :
Options
A.z2 +
z2 +
(1 ± i) (z1 + z2)
z2 +
(1 ± i) (z1 + z2)B.z2 + (1 ± i) (z1 - z2)
(1 ± i) (z1 - z2)C.z2 + (1 ± i) (z2 - z1)
(1 ± i) (z2 - z1)D.none of these
Solution
∵ |z1 - z2| = |z2 - z3|
⇒ z3 = z2 +
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