Page 1
Locus and Complex Numbers
Page 2
Locus and Complex NumbersLines
Page 3
Locus and Complex NumbersLines y
x
Page 4
Locus and Complex NumbersLines y
x
c
Page 5
Locus and Complex NumbersLines y
x
c
cz Im
Page 6
Locus and Complex NumbersLines y
x
y
x
c
cz Im
Page 7
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
Page 8
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
Page 9
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x
Page 10
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x
Page 11
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x
1
2
Page 12
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x 21 zz
1
2
Page 14
2222 1211 yxyx
izizge 21..
Page 15
2222 1211 yxyx12441212 2222 yyxxyyxx
izizge 21..
Page 16
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
izizge 21..
Page 17
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
izizge 21..
Page 18
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
0,21
211,
221M
izizge 21..
Page 19
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
0,21
211,
221M
izizge 21..
32
2111
m
Page 20
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
0,21
211,
221M
23 is slope required
izizge 21..
32
2111
m
Page 21
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
0,21
211,
221M
23 is slope required
21
230 xy
izizge 21..
32
2111
m
Page 22
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
0,21
211,
221M
23 is slope required
21
230 xy
izizge 21..
32
2111
m
03462332
yx
xy
Page 24
izizii 42Sketch y
x
Page 25
izizii 42Sketch y
x-2
4
Page 26
izizii 42Sketch y
x-2
4
1
Page 27
izizii 42Sketch y
x-2
4
1
Page 28
izizii 42Sketch y
x-2
4
1
Rays
Page 29
izizii 42Sketch y
x-2
4
1
Rays
y
x
Page 30
izizii 42Sketch y
x-2
4
1
Rays
y
x
Page 31
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
Page 32
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
y
x
Page 33
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
y
x
Page 34
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
y
x
zarg
Page 35
4arg0 and 1 e.g.
zz
Page 36
4arg0 and 1 e.g.
zz
y
x
Page 37
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
Page 38
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z 4arg
z
4
Page 39
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
4
4arg
z
0arg z
Page 40
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
4
4arg
z
0arg z
Page 41
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
4
4arg
z
0arg z
Page 42
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
4
4arg
z
0arg z
Exercise 4N; 1a to j, 2ace, 3ace etc, 4ace