Solved papers for JEE Main & Advanced AIEEE Solved Paper-2009

done AIEEE Solved Paper-2009 Total Questions - 3

• question_answer1) Let y be an implicit function of x defined by \[{{x}^{2x}}2{{x}^{x}}coty1=0.\]Then y?(1) equals     AIEEE  Solved  Paper-2009
  A)
  -1                                           
  done clear
  B)
  1                             
  done clear
  C)
         \[log\text{ }2\] 
  done clear
  D)
         \[\text{ }log2\]
  done clear
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• question_answer2) Given\[P(x)={{x}^{4}}+a{{x}^{3}}+cx+d\]such that\[x=0\]is the only real root of\[P'(x)=0\]. If \[P(1)<P(1),\]then in the interval [-1, 1].     AIEEE  Solved  Paper-2009
  A)
  P(-1) is the minimum and P(1) is the maximum of P
  done clear
  B)
  P(-1) is not minimum but P(1) is the maximum of P
  done clear
  C)
  P(-1) is the minimum but P(1) is not the maximum of P
  done clear
  D)
  neither P(-1) is the minimum nor P(1) is the maximum of P
  done clear
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• question_answer3) The shortest distance between the line \[yx=1\]and the curve\[x={{y}^{2}}\]is     AIEEE  Solved  Paper-2009
  A)
  \[\frac{3\sqrt{2}}{8}\]
  done clear
  B)
                         \[\frac{2\sqrt{3}}{8}\]   
  done clear
  C)
         \[\frac{3\sqrt{2}}{5}\]
  done clear
  D)
                         \[\frac{\sqrt{3}}{4}\]
  done clear
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