(a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magnitude v8 and principal argument –n/4. (ii) z1 = a + ib and z2 = -1+i are equal only if a = -1 and b = 1. (iii) The circle |z + 1 – i| = 1 has a center at (1, –1).
(a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magnitude v8 and principal argument –n/4. (ii) z1 = a + ib and z2 = -1+i are equal only if a = -1 and b = 1. (iii) The circle |z + 1 – i| = 1 has a center at (1, –1).
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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working not needed, just checking answer for my homework (answer 1-3 for this, will post 4-5 later)
Transcribed Image Text:(a) State if the following are True or False. You need not show any working.
(i)
z = 2 – 2i has magnitude v8 and principal argument –n/4.
(ii) z1 = a + ib and z2
= -1+i are equal only if a
= -1 and b = 1.
(iii) The circle |z +1 – i| = 1 has a center at (1,–1).
(iv) į17 ;
= -1 where i = v
V-1.
2z
(v) The poles of f (z) =
are z, = 1+ iv3 and z, = 1– iv3.
z²–2z+4
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