Let z and z, be complex numbers. Which of the following statements are always true? O If z = rje“, z2 = me4, (11) Im (21) - iRe(71)| = |21| (ii1) Re(z17) = REE122) 21 = 72, and e is the principal argument of z1 then e = (A) (1) and (iii) only (B) (iii) only (C) (i) and (ii) only (D) (1) only (E) (ii) only (F) all of them (G) none of them (H) (i) and (ii) only

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 4E
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Let z and z, be complex numbers. Which of the following statements are always true?
O If21 = rje, zɔ = neta4,
(i1) Im (z1) - iRe(1) = |21|
(in) Re(z12)) = Re12)
71 = 22, and e is the principal argument of z1 then 6 =
%3D
(A) (1) and (ii) only (B) (iii) only (C) (i) and (ii) only (D) (1) only (E) (i) only (F) all of them
(G) none of them (H) (1) and (ii) only
Transcribed Image Text:Let z and z, be complex numbers. Which of the following statements are always true? O If21 = rje, zɔ = neta4, (i1) Im (z1) - iRe(1) = |21| (in) Re(z12)) = Re12) 71 = 22, and e is the principal argument of z1 then 6 = %3D (A) (1) and (ii) only (B) (iii) only (C) (i) and (ii) only (D) (1) only (E) (i) only (F) all of them (G) none of them (H) (1) and (ii) only
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