Locus and Complex Numbers

Locus and Complex NumbersLines

Locus and Complex NumbersLines y

x

Locus and Complex NumbersLines y

x

c

Locus and Complex NumbersLines y

x

c

cz Im

Locus and Complex NumbersLines y

x

y

x

c

cz Im

Locus and Complex NumbersLines y

x

y

x

c

cz Im

k

Locus and Complex NumbersLines y

x

y

x

c

cz Im

k

kz Re

Locus and Complex NumbersLines y

x

y

x

c

cz Im

k

kz Re

y

x

Locus and Complex NumbersLines y

x

y

x

c

cz Im

k

kz Re

y

x

Locus and Complex NumbersLines y

x

y

x

c

cz Im

k

kz Re

y

x

1

2

Locus and Complex NumbersLines y

x

y

x

c

cz Im

k

kz Re

y

x 21 zz

1

2

izizge 21..

2222 1211 yxyx

izizge 21..

2222 1211 yxyx12441212 2222 yyxxyyxx

izizge 21..

2222 1211 yxyx12441212 2222 yyxxyyxx

0346 yx

izizge 21..

2222 1211 yxyx12441212 2222 yyxxyyxx

0346 yx

1,2and1,1 ofbisector OR

izizge 21..

2222 1211 yxyx12441212 2222 yyxxyyxx

0346 yx

1,2and1,1 ofbisector OR

0,21

211,

221M

izizge 21..

2222 1211 yxyx12441212 2222 yyxxyyxx

0346 yx

1,2and1,1 ofbisector OR

0,21

211,

221M

izizge 21..

32

2111

m

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

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

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

izizii 42Sketch

izizii 42Sketch y

x

izizii 42Sketch y

x-2

4

izizii 42Sketch y

x-2

4

1

izizii 42Sketch y

x-2

4

1

izizii 42Sketch y

x-2

4

1

Rays

izizii 42Sketch y

x-2

4

1

Rays

y

x

izizii 42Sketch y

x-2

4

1

Rays

y

x

izizii 42Sketch y

x-2

4

1

Rays

y

x

zarg

izizii 42Sketch y

x-2

4

1

Rays

y

x

zarg

y

x

izizii 42Sketch y

x-2

4

1

Rays

y

x

zarg

y

x

izizii 42Sketch y

x-2

4

1

Rays

y

x

zarg

y

x

zarg

4arg0 and 1 e.g.

zz

4arg0 and 1 e.g.

zz

y

x

4arg0 and 1 e.g.

zz

y

x

1

1

-1

-1

1z

4arg0 and 1 e.g.

zz

y

x

1

1

-1

-1

1z 4arg

z

4

4arg0 and 1 e.g.

zz

y

x

1

1

-1

-1

1z

4

4arg

z

0arg z

4arg0 and 1 e.g.

zz

y

x

1

1

-1

-1

1z

4

4arg

z

0arg z

4arg0 and 1 e.g.

zz

y

x

1

1

-1

-1

1z

4

4arg

z

0arg z

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