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Find about the quadrilateral ABCD whose vertices satisfy z^4+z^3+z^2+z+1=0

Source: MTRP 2016 Class 11-Multiple Choice Question: Problem 5 :-

May 31, 2020
geometryComplex Geometrycomplex plane

Problem Statement

ABCDABCD is a quadrilateral on complex plane whose four vertices satisfy z4+z3+z2+z+1=0z^4+z^3+z^2+z+1=0. Then ABCDABCD is a
[*] Rectangle [*] Rhombus [*] Isosceles Trapezium [*] Square
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