Solved papers for JEE Main & Advanced AIEEE Solved Paper-2005

done AIEEE Solved Paper-2005 Total Questions - 3

• question_answer1) If the cube roots of unity are\[1,\omega ,{{\omega }^{2}}\]then the roots of the equation \[{{(x-1)}^{3}}+8=0,\] are     AIEEE  Solved  Paper-2005
  A)
  \[-1,1+2\omega ,1+2{{\omega }^{2}}\]
  done clear
  B)
  \[-1,1-2\omega ,1-2{{\omega }^{2}}\]
  done clear
  C)
  \[-1,-1,-1\]
  done clear
  D)
  \[-1,-1+2\omega ,-1-2{{\omega }^{2}}\]
  done clear
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• question_answer2) If\[{{z}_{1}}\]and\[{{z}_{2}}\]are two non-zero complex numbers such that\[|{{z}_{1}}+{{z}_{2}}|=|{{z}_{1}}|+|{{z}_{2}}|\]then \[\arg ({{z}_{1}})-\arg ({{z}_{2}})\]is equal to
  A)
  \[-\frac{\pi }{2}\]             
  done clear
  B)
         0                             
  done clear
  C)
         \[-\pi \]               
  done clear
  D)
         \[\frac{\pi }{2}\]
  done clear
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• question_answer3) If\[W=\frac{z}{z-\frac{1}{3}i}\]and\[|w|=1,\]then z lies on     AIEEE  Solved  Paper-2005
  A)
  a parabola        
  done clear
  B)
         a straight line
  done clear
  C)
                         a circle            
  done clear
  D)
         an ellipse
  done clear
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