IGCSE/GCSE/O & A Level/IB/University Student Forum
Qualification => Subject Doubts => IB => Math => Topic started by: candy on May 15, 2009, 04:34:52 pm
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The complex number
2/-1 +i is denoted by u.
(i) Find the modulus and argument of u and u^2. [6]
(ii) Sketch an Argand diagram showing the points representing the complex numbers u and u^2. Shade
the region whose points represent the complex numbers z which satisfy both the inequalities |z|<2
and |z-u^2| < |z-u|. [4]
please can someone answer part 2 for me!!! i dont understand!! ??? :'( :'(
its a question from may june 2007...i checked the markscheme but i don tunderstand it at all...can someone draw it n show it pllzzz...Thanks a lot!
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IzI<2 is a circle at origin with radius 2
and then substitute the value of u and u^2 at both side.it should be a perpendicular bisector between both if i'm not mistaken
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Candy,
For l Z l <2, you have to draw a circle of radius 2. But the circumference line must be dotted and it means the radius is not equal to 2 but less than 2.
From point U ( -1,-1) to U² (0, 2),join these two points. Draw a perpendicular bisector of this line
until it meets the circle at 2 points,namely Z and Z1.
Finally, shade the area of the sector Z U2 Z1. Plz refer to the attachment.
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THANXXXXX ALOT louiss!!! ;D ;D ;D ;D i really appreciate it!!!
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any1 know where i cud get the may/june 2009 (paper 3)..?
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Not yet.