Whimsical
  • Whimsical
Help pls i cant solve this question: l 2-iz l = 2 i am supposed to draw the loci of z using that equation.
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Maybe this can help you. The locus of |2-z| =2 is a circle of radius 2 and center (2,0i). If you have a complex nummber z and you multiply it by another whoes modulus is 1 , you get another number whoes argument is the summ of the arguments. So zi is a nummber z turned 90º counterclockwise.
Whimsical
  • Whimsical
the ans is circle with centre coordinates (0,-2) radius 2
anonymous
  • anonymous
try this: if z= x+iy \[\sqrt{(2-y)^{2}+x ^{2}} = 2\]

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anonymous
  • anonymous
|dw:1333274418068:dw|
Whimsical
  • Whimsical
ok i understood thank you for your guidance.
anonymous
  • anonymous
can you "guide " me on my question now?
anonymous
  • anonymous
2º from the top

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