anonymous
  • anonymous
PLEASE HELP! Let z=a+bi , where a and b are real numbers. If \[{z \over z*}=c+di \] where c and d are real, prove that c^2+d^2=1.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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AravindG
  • AravindG
hey i cannot read tht expression
AravindG
  • AravindG
@order
anonymous
  • anonymous
It said z/z* =c+di

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AravindG
  • AravindG
z* means?
anonymous
  • anonymous
It's the conjugate of z
AravindG
  • AravindG
k it then easy
AravindG
  • AravindG
|dw:1333453178306:dw|
AravindG
  • AravindG
|dw:1333453209162:dw|
AravindG
  • AravindG
|dw:1333453245169:dw|
AravindG
  • AravindG
|dw:1333453338610:dw|
AravindG
  • AravindG
hence
apoorvk
  • apoorvk
|dw:1333453191221:dw| now comparing imaginary and real parts, |dw:1333453314094:dw|
AravindG
  • AravindG
exactlyc :P i was typing that u r fast apoorv :P
anonymous
  • anonymous
How did you get d?
AravindG
  • AravindG
wel look at term having i
anonymous
  • anonymous
Ok.
anonymous
  • anonymous
Thank you!!
apoorvk
  • apoorvk
yeah. as aravind says, compare terms... the imaginary term's coefficient on the right side is equal to that of the left side.
AravindG
  • AravindG
u see for 2 cmplex nnos to be equal both imaginary and real part should be equal
AravindG
  • AravindG
welcomess

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