Mathematics

Mathematics

Problem

Let z=x+iyz = x + iy be a complex number, where xx & yy are integers. Then, the area of the rectangle whose vertices are the roots of the eqn. zzˉ3+zˉz3=350z\bar{z}^3 + \bar{z}z^3 = 350 is (A) 48 (B) 32 (C) 40 (D) 80

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