Solved papers for JEE Main & Advanced AIEEE Solved Paper-2012

done AIEEE Solved Paper-2012 Total Questions - 2

• question_answer1) A spherical balloon is filled with \[4500\pi \] cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of \[72\pi \] cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is:   AIEEE  Solved  Paper-2012
  A)
  \[\frac{9}{7}\]                                      
  done clear
  B)
  \[\frac{7}{9}\]
  done clear
  C)
  \[\frac{2}{9}\]                                      
  done clear
  D)
  \[\frac{9}{2}\]
  done clear
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• question_answer2) Let a, \[b\in R\] be such that the function f given by \[f(x)=\ell n\left| x \right|+b{{x}^{2}}+ax,\,x\ne 0\] has extreme values at \[x=-1\] and \[x=2\]. Statement-1: f has local maximum at \[x=-1\] and at \[x=2\]. Statement-2: \[a=\frac{1}{2}\] and \[b=\frac{-1}{4}\].   AIEEE  Solved  Paper-2012
  A)
  Statement-1 is false, Statement-2 is true.
  done clear
  B)
  Statement-1 is true, statement-2 is true; statement-2 is a correct explanation for Statement-1.
  done clear
  C)
  Statement-1 is true, statement-2 is true; statement-2 is not a correct explanation for Statement-1.
  done clear
  D)
  Statement-1 is true, statement-2 is false.
  done clear
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