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OCR MEI FP1 Complex numbers - sketching a set with division in the modulus brackets.

Hi,

Can anyone quickly help me with this problem?

I just need to know how to deal with the divisions inside the modulus brackets in order to sketch the region on an Argand diagram.

Q19 and Q20.

IMAG0530.jpg527.1KB
Reply 1
Avatar for TeeEm
TeeEm
19
Original post by Wunderbarr
Hi,

Can anyone quickly help me with this problem?

I just need to know how to deal with the divisions inside the modulus brackets in order to sketch the region on an Argand diagram.

Q19 and Q20.



http://madasmaths.com/archive_maths_booklets_further_topics_various.html

questions 17, 18, 19 from file complex_numbers_part_2
questions 100, 113, 119, 122, 125, 128, ... from file complex_numbers_part_2_exam_questions
Original post by TeeEm
http://madasmaths.com/archive_maths_booklets_further_topics_various.html

questions 17, 18, 19 from file complex_numbers_part_2
questions 100, 113, 119, 122, 125, 128, ... from file complex_numbers_part_2_exam_questions


Forget the inequality for the moment. Consider the equality.
Mod(z-3) = mod (z+2j)
ie the distance of z from 3 is the distance of z from -2j
A straight line - you decide which

In q 20 do the same thing. The 2 gives a different locus (hint - do you play rugby?)

In both cases decide which side of the locus you want.
Reply 3
Avatar for Wunderbarr
Wunderbarr
OP
16
Original post by TeeEm
http://madasmaths.com/archive_maths_booklets_further_topics_various.html

questions 17, 18, 19 from file complex_numbers_part_2
questions 100, 113, 119, 122, 125, 128, ... from file complex_numbers_part_2_exam_questions


Thanks, I did not know of that site :P It seems to have its uses.

Original post by unclefred
Forget the inequality for the moment. Consider the equality.
Mod(z-3) = mod (z+2j)
ie the distance of z from 3 is the distance of z from -2j
A straight line - you decide which

In q 20 do the same thing. The 2 gives a different locus (hint - do you play rugby?)

In both cases decide which side of the locus you want.


I don't play rugby, but I'll find out if I got it right from your method in a few weeks :L Thanks.
Reply 4
Avatar for TeeEm
TeeEm
19
Original post by Wunderbarr
Thanks, I did not know of that site :P It seems to have its uses.

I am sorry I read your post too quickly and I pointed out questions that were relating to the start of your sheet rather what you asked. I hope you found in the sheets I pointed similar questions to the ones you were after.

[P.S. the site is great it's just slow to download because the files are very large.]

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