Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

done AIEEE Solved Paper-2004 Total Questions - 3

• question_answer1) Let\[z,w\]be complex numbers such that \[\overline{z}=i\overline{w}=0\] and \[arg(zw)=\pi \]. Then, \[\arg (z)\] equals
  A)
  \[\frac{\pi }{4}\]              
  done clear
  B)
                         \[\frac{\pi }{2}\]                              
  done clear
  C)
  \[\frac{3\pi }{4}\]                            
  done clear
  D)
                         \[\frac{5\pi }{4}\]
  done clear
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• question_answer2) If\[z=x-2y\]and\[{{z}^{1/3}}=p+iq,\]. Then \[{\left( \frac{x}{p}+\frac{y}{q} \right)}/{({{p}^{2}}+{{q}^{2}})}\;\] is equal to
  A)
  1             
  done clear
  B)
                         \[-1\]                    
  done clear
  C)
  2                             
  done clear
  D)
         \[-2\]
  done clear
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• question_answer3) If\[|{{z}^{2}}-1|=|z{{|}^{2}}+1,\]then z lies on
  A)
  the real axis
  done clear
  B)
  the imaginary axis
  done clear
  C)
  a circle
  done clear
  D)
  an ellipse
  done clear
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