answer a(v)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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answer a(v)

(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
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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