Let be a complex number

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

Let

z = x + iy

be a complex number, where

x

y

are integers. Then, the area of the rectangle whose vertices are the roots of the eqⁿ.

z\bar{z}^3 + \bar{z}z^3 = 350

is (A) 48 (B) 32 (C) 40 (D) 80