Turn on thread page Beta
 You are Here: Home >< Maths

modulus and argument / FP! resources watch

1. I dont suppose anybody on here has any good resources for representing modulus and argument on argand diagrams? I feel this is the main topic holding me back in fp1

I cant seem to get my head around my textbook (OCR)

I cant even represent |z|=|z-8| on an argand diagram, if anyone has a worked solution to that id really appreciate it :')))
2. (Original post by emilyp2206)
I dont suppose anybody on here has any good resources for representing modulus and argument on argand diagrams? I feel this is the main topic holding me back in fp1

I cant seem to get my head around my textbook (OCR)

I cant even represent |z|=|z-8| on an argand diagram, if anyone has a worked solution to that id really appreciate it :'))
http://www.examsolutions.net/maths-r...FP1/module.php you have maybe seen this site before, but i recommend watching the videos and pausing them to do all the questions, then you effectively have past paper questions with worked solutions

as for |z|=|z-8|, have you been taught to solve this by squaring both sides, or to consider what happens when z<8 and when z>8 separately
3. (Original post by DylanJ42)
http://www.examsolutions.net/maths-r...FP1/module.php you have maybe seen this site before, but i recommend watching the videos and pausing them to do all the questions, then you effectively have past paper questions with worked solutions

as for |z|=|z-8|, have you been taught to solve this by squaring both sides, or to consider what happens when z<8 and when z>8 separately
not that i remember, the first time ive met squaring both sides was just now when looking in the textbook:/ thank you for the link!!
4. (Original post by emilyp2206)
not that i remember, the first time ive met squaring both sides was just now when looking in the textbook:/ thank you for the link!!
imo squaring both sides is probably the better of the two methods

we can go through some of the modulus questions if you want?

but first, tell me, have you ever had to solve something like |z-3+4i| = |z+1-7i|? ie something with both real and imaginary parts?

also have you been taught that z = x + iy?

asking because I don't want to confuse you by doing too much
5. (Original post by emilyp2206)
not that i remember, the first time ive met squaring both sides was just now when looking in the textbook:/ thank you for the link!!
in fact how about you work through videos and if you still don't understand something feel free to tag me and ask

Im just worried ill teach you it one way and exam solutions guy will do it a different way and you'll get confused
6. (Original post by DylanJ42)
in fact how about you work through videos and if you still don't understand something feel free to tag me and ask

Im just worried ill teach you it one way and exam solutions guy will do it a different way and you'll get confused
I feel as if the whole chunk of the course from that aspect has been missed, i wil work through the videos and see how i fee! thank you for the help, i had know idea i needed this
7. (Original post by emilyp2206)
I feel as if the whole chunk of the course from that aspect has been missed, i wil work through the videos and see how i fee! thank you for the help, i had know idea i needed this
the videos are great and topics are explained very well so i hope they help its no problem
8. If you want some extra practice have a look at the complex number on argand diagrams section in AQA FP2
9. (Original post by DylanJ42)
the videos are great and topics are explained very well so i hope they help its no problem
ive through these videos but still cannot figure out how the |z|=|z-8| or any form of these type of questions occurs, the videos were useful in discussing mod of just a complex number from the origin, and then the arguments of these but not any other form (((
10. (Original post by emilyp2206)
ive through these videos but still cannot figure out how the |z|=|z-8| or any form of these type of questions occurs, the videos were useful in discussing mod of just a complex number from the origin, and then the arguments of these but not any other form (((
okay so say if you dont understand any of this

we know z = x + yi, so;

group real and imaginary groups like so;

Now I want you to really think about this part, ill do a diagram for you also, if you need it, square both sides;

use z = x +yi again to get in terms of z

z = x +yi

z = 4 +0i = 4

so the answer to |z| = |z-8| is z = 4

How is that?
11. (Original post by emilyp2206)
I dont suppose anybody on here has any good resources for representing modulus and argument on argand diagrams? I feel this is the main topic holding me back in fp1

I cant seem to get my head around my textbook (OCR)

I cant even represent |z|=|z-8| on an argand diagram, if anyone has a worked solution to that id really appreciate it :'))
Can you get your hands on an Edexcel FP2 textbook? It explains this stuff really nicely
12. (Original post by DylanJ42)
okay so say if you dont understand any of this

we know z = x + yi, so;

group real and imaginary groups like so;

Now I want you to really think about this part, ill do a diagram for you also, if you need it, square both sides;

use z = x +yi again to get in terms of z

z = x +yi

z = 4 +0i = 4

so the answer to |z| = |z-8| is z = 4

How is that?
thst makes alot of sense thank you! if you could represent this on a diagram that would be ace
13. (Original post by aymanzayedmannan)
Can you get your hands on an Edexcel FP2 textbook? It explains this stuff really nicely
Im pretty sure my teacher brings one of the sort to lessons sometimes so i will ask her for a peak, cheers!
14. (Original post by emilyp2206)
thst makes alot of sense thank you! if you could represent this on a diagram that would be ace

so everytime you have something of the form

one last thing, notice the "i" doesnt get squared or anything, as it is pretty much just telling you b units vertically.

last last thing i promise, sketching these until you get comfortable with them might be a nice idea also, but ill leave that up to you

Hope this helps

Turn on thread page Beta

Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 1, 2016
The home of Results and Clearing

2,750

people online now

1,567,000

students helped last year
Today on TSR

A-level results day chat: 2 days to go!

Chat about results here

University open days

1. SAE Institute
Animation, Audio, Film, Games, Music, Business, Web Further education
Thu, 16 Aug '18
2. Bournemouth University
Clearing Open Day Undergraduate
Fri, 17 Aug '18
3. University of Bolton
Fri, 17 Aug '18
Poll
Useful resources

Make your revision easier

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Create your own Study Planner

Never miss a deadline again

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE