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Mathematics: Post your doubts here!

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ii)
Draw haf line with centre at u at angle of pi/4
draw perpendicular from line to origin, and find its distance that is least value of |Z|
iii)
Draw circle with centre (1 + i)u with radius 1. and the distance from origin to the maximum distance of circle is greatest value of |Z|
can you please make it?
 
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can you please make it?
upload_2016-9-27_15-8-5.png
9709/32/M/J/16/Q9
upload_2016-9-23_21-24-5-png.61184

because I will not know the position of OA OB OC be like.

How would I know where to pin point my 3 vectors will be?
http://justpastpapers.com/wp-content/uploads/2016/05/scan0107.jpg
 
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thank you so much..
so you made the center of circle at 3 - 3i , can you tell me how you got that? sorry for being so dumb but really this thing is confusing me a lot.
And also can you sketch Argand for this too, the (ii) part
View attachment 61204
Oh i didnt get this before :/ idk why.
(1 + i) (- 3i) = 3 - 3i

draw the circle with origin at u and radius being absolute of u.
basically that is asking us to drow locus of |z - (-2/5 + 11/5i)| = sqrt(5)
 
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