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. %|

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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pls answer a(ii)

(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 –1/4.
(ii) z1 = a + ib and z2 = -1+ i are equal only if a = -1 and b = 1.
(iii) The circle |z +1– il = 1 has a center at (1, – 1).
|3D
(iv) i17 = -1 where i = v-1.
2z
(v) The poles of f (z)
are z, = 1+ iv3 and z2 = 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 –1/4. (ii) z1 = a + ib and z2 = -1+ i are equal only if a = -1 and b = 1. (iii) The circle |z +1– il = 1 has a center at (1, – 1). |3D (iv) i17 = -1 where i = v-1. 2z (v) The poles of f (z) are z, = 1+ iv3 and z2 = 1- iV3. z²-2z+4
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