X2 T01 11 locus & complex nos 2 (2010)
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Transcript of X2 T01 11 locus & complex nos 2 (2010)
![Page 1: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/1.jpg)
Locus and Complex Numbers
![Page 2: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/2.jpg)
Locus and Complex NumbersLines
![Page 3: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/3.jpg)
Locus and Complex NumbersLines y
x
![Page 4: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/4.jpg)
Locus and Complex NumbersLines y
x
c
![Page 5: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/5.jpg)
Locus and Complex NumbersLines y
x
c
cz Im
![Page 6: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/6.jpg)
Locus and Complex NumbersLines y
x
y
x
c
cz Im
![Page 7: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/7.jpg)
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
![Page 8: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/8.jpg)
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
![Page 9: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/9.jpg)
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x
![Page 10: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/10.jpg)
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x
![Page 11: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/11.jpg)
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x
1
2
![Page 12: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/12.jpg)
Locus and Complex NumbersLines y
x
y
x
c
cz Im
k
kz Re
y
x 21 zz
1
2
![Page 13: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/13.jpg)
izizge 21..
![Page 14: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/14.jpg)
2222 1211 yxyx
izizge 21..
![Page 15: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/15.jpg)
2222 1211 yxyx12441212 2222 yyxxyyxx
izizge 21..
![Page 16: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/16.jpg)
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
izizge 21..
![Page 17: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/17.jpg)
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
izizge 21..
![Page 18: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/18.jpg)
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
0,21
211,
221M
izizge 21..
![Page 19: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/19.jpg)
2222 1211 yxyx12441212 2222 yyxxyyxx
0346 yx
1,2and1,1 ofbisector OR
0,21
211,
221M
izizge 21..
32
2111
m
![Page 20: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/20.jpg)
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: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/21.jpg)
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: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/22.jpg)
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 23: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/23.jpg)
izizii 42Sketch
![Page 24: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/24.jpg)
izizii 42Sketch y
x
![Page 25: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/25.jpg)
izizii 42Sketch y
x-2
4
![Page 26: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/26.jpg)
izizii 42Sketch y
x-2
4
1
![Page 27: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/27.jpg)
izizii 42Sketch y
x-2
4
1
![Page 28: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/28.jpg)
izizii 42Sketch y
x-2
4
1
Rays
![Page 29: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/29.jpg)
izizii 42Sketch y
x-2
4
1
Rays
y
x
![Page 30: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/30.jpg)
izizii 42Sketch y
x-2
4
1
Rays
y
x
![Page 31: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/31.jpg)
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
![Page 32: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/32.jpg)
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
y
x
![Page 33: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/33.jpg)
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
y
x
![Page 34: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/34.jpg)
izizii 42Sketch y
x-2
4
1
Rays
y
x
zarg
y
x
zarg
![Page 35: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/35.jpg)
4arg0 and 1 e.g.
zz
![Page 36: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/36.jpg)
4arg0 and 1 e.g.
zz
y
x
![Page 37: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/37.jpg)
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
![Page 38: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/38.jpg)
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z 4arg
z
4
![Page 39: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/39.jpg)
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
4
4arg
z
0arg z
![Page 40: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/40.jpg)
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
4
4arg
z
0arg z
![Page 41: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/41.jpg)
4arg0 and 1 e.g.
zz
y
x
1
1
-1
-1
1z
4
4arg
z
0arg z
![Page 42: X2 T01 11 locus & complex nos 2 (2010)](https://reader033.fdocuments.us/reader033/viewer/2022060202/559cd8611a28ab995f8b47ff/html5/thumbnails/42.jpg)
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