Solved papers for JEE Main & Advanced AIEEE Solved Paper-2006

done AIEEE Solved Paper-2006 Total Questions - 2

• question_answer1) The value of\[\sum\limits_{k=1}^{10}{\left( \sin \frac{2k\pi }{11}+i\cos \frac{2k\pi }{11} \right)}\]is     AIEEE  Solved  Paper-2006
  A)
  1             
  done clear
  B)
         -1           
  done clear
  C)
         \[-i\]                     
  done clear
  D)
         \[i\]
  done clear
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• question_answer2) If\[{{z}^{2}}+z+1=0,\]where z is complex number, then the value of \[{{\left( z+\frac{1}{z} \right)}^{2}}+{{\left( {{z}^{2}}+\frac{1}{{{z}^{2}}} \right)}^{2}}+{{\left( {{z}^{3}}+\frac{1}{{{z}^{3}}} \right)}^{2}}\] \[+......+{{\left( {{z}^{6}}+\frac{1}{{{z}^{6}}} \right)}^{2}}\]is       AIEEE  Solved  Paper-2006
  A)
  54                          
  done clear
  B)
  6                             
  done clear
  C)
         12          
  done clear
  D)
         18
  done clear
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