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

done AIEEE Solved Paper-2005 Total Questions - 4

• question_answer1) The differential equation representing the family of curves\[{{y}^{2}}=2c(x+\sqrt{c}),\]where\[c>0,\]is a parameter, is of order and degree as follows       AIEEE  Solved  Paper-2005
  A)
  order 2, degree 2
  done clear
  B)
  order 1, degree 3
  done clear
  C)
  order 1, degree 1
  done clear
  D)
  order 1, degree 2
  done clear
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• question_answer2) Let\[f(x)\]be a non-negative continuous function such that the area bounded by the curve\[y=f(x),\]X-axis and the ordinates\[x=\pi /4\] and \[x=\beta >\pi /4\] is\[\left( \beta \sin \beta +\frac{\pi }{4}\cos \beta +\sqrt{2}\beta  \right)\].Then\[f\left( \frac{\pi }{2} \right)\],is     AIEEE  Solved  Paper-2005
  A)
  \[\left( 1-\frac{\pi }{4}+\sqrt{2} \right)\]              
  done clear
  B)
  \[\left( 1-\frac{\pi }{4}-\sqrt{2} \right)\]
  done clear
  C)
         \[\left( \frac{\pi }{4}-\sqrt{2}+1 \right)\]              
  done clear
  D)
         \[\left( \frac{\pi }{4}+\sqrt{2}-1 \right)\]
  done clear
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• question_answer3) The area enclosed between the curve\[y={{\log }_{e}}(x+e)\]and the coordinate axes is     AIEEE  Solved  Paper-2005
  A)
  4             
  done clear
  B)
         3             
  done clear
  C)
         2             
  done clear
  D)
         1
  done clear
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• question_answer4) The parabolas\[{{y}^{2}}=4x\]and\[{{x}^{2}}=4y\]divide the square region bounded by the lines \[x=4,\text{ }y=4\]and the coordinate axes. If \[{{S}_{1}},{{S}_{2}},{{S}_{3}}\]are respectively the areas of these parts numbered from top to bottom, then\[{{S}_{1}}:{{S}_{2}}:{{S}_{3}}\]     AIEEE  Solved  Paper-2005
  A)
  1 : 1 : 1             
  done clear
  B)
         2 : 1 : 2 
  done clear
  C)
         1 : 2 : 3            
  done clear
  D)
         1 : 2 : 1
  done clear
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