FP2 Complex Numbers Transformations

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minnigayuen
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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 :confused:

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?
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Notnek
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(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 :confused:

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.
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the bear
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did they want the equation of the line ?
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BabyMaths
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(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 2u-8v=15
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BabyMaths
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If on the other hand you meant \displaystyle w=\frac{4-z}{z+1} then the line is u=1.5.
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Yung_ramanujan
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(Original post by BabyMaths)
If on the other hand you meant \displaystyle w=\frac{4-z}{z+1} then the line is u=1.5.
What level is this

Can u explain your method please
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Notnek
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(Original post by Yung_ramanujan)
What level is this

Can u explain your method please
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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Yung_ramanujan
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(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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Notnek
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(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.
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Yung_ramanujan
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(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
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BabyMaths
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(Original post by Yung_ramanujan)
What exam board is that for. Ive not come across this in my fp2

It might be Edexcel FP3.
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Yung_ramanujan
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(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
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BabyMaths
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(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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