​ If the non- real roots of z^2 = i z the vertices of a polygon the the area of the polygon is ​

Question

If the non- real roots of z² = i \(\overline{z}\) the vertices of a polygon the the area of the polygon is

(1) √3/4

(2) √3/4

(3) √5/2

(4) √5/4

Answer 1

Correct option is  (2) √3/4