# FP2 Complex Numbers Transformations

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#1
There's no answer for this question, so i was wondering if someone could check if i've got the right answer because i improvised and wasn't sure if i just made up some method rules along the way

Question:

Transformation: w = (4-z)/(z+i)
The circle |z|=1 is transformed by this onto a line.

I ended up with U = 1.5, anyone else?
0
7 years ago
#2
(Original post by minnigayuen)
There's no answer for this question, so i was wondering if someone could check if i've got the right answer because i improvised and wasn't sure if i just made up some method rules along the way

Question:

Transformation: w = (4-z)/(z+i)
The circle |z|=1 is transformed by this onto a line.

I ended up with U = 1.5, anyone else?
You haven't posted the whole question.
0
7 years ago
#3
did they want the equation of the line ?
0
7 years ago
#4
(Original post by minnigayuen)
Transformation: w = (4-z)/(z+i)
The circle |z|=1 is transformed by this onto a line.

I ended up with U = 1.5, anyone else?
I have
0
7 years ago
#5
If on the other hand you meant then the line is u=1.5.
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7 years ago
#6
(Original post by BabyMaths)
If on the other hand you meant then the line is u=1.5.
What level is this

0
7 years ago
#7
(Original post by Yung_ramanujan)
What level is this

A Level further maths

Method: Make z the subject, set up an equation using the info in the question, sub w=u+iv, expand the moduli.
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7 years ago
#8
(Original post by notnek)
A Level further maths

Method: Make z the subject, set up an equation using the info in the question, sub w=u+iv, expand the moduli.
Oh ok. Would this come under geometry of complex numbers?
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7 years ago
#9
(Original post by Yung_ramanujan)
Oh ok. Would this come under geometry of complex numbers?
Probably. I'm used to this topic being called "Transformations of the complex plane" in further maths.
0
7 years ago
#10
(Original post by notnek)
Probably. I'm used to this topic being called "Transformations of the complex plane" in further maths.
What exam board is that for. Ive not come across this in my fp2
0
7 years ago
#11
(Original post by Yung_ramanujan)
What exam board is that for. Ive not come across this in my fp2

It might be Edexcel FP3.
0
7 years ago
#12
(Original post by BabyMaths)
It might be Edexcel FP3.
We dont have complex numbers in our fp3!

Maybe its just not covered on ours, becayse we only have fp2&3 and our fp2 covers same topixs as others fp2-4. Any resources for me to learn this from
0
7 years ago
#13
(Original post by Yung_ramanujan)
We dont have complex numbers in our fp3!

Maybe its just not covered on ours, becayse we only have fp2&3 and our fp2 covers same topixs as others fp2-4. Any resources for me to learn this from
Actually I think it's FP2 now, on Edexcel.

As for resources to learn from you could Google it or get some cheap old textbooks.

Resources to get practice: http://www.edexcel.com/i-am-a/studen...apers_app.aspx
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