Solved papers for JEE Main & Advanced JEE Main Paper (Held On 12 May 2012)

done JEE Main Paper (Held On 12 May 2012) Total Questions - 2

• question_answer1) Consider a rectangle whose length is increasing at the uniform rate of 2 m/sec, breadth is decreasing at the uniform rate of 3 m/sec and the area is decreasing at the uniform rate of it \[5\,{{m}^{2}}/\sec .\] If after some time the breadth of the rectangle is 2 m then the length of the rectangle is     JEE Main Online Paper (Held On 12 May 2012)
  A)
  2m                                         
  done clear
  B)
                         4m
  done clear
  C)
                         1m                                         
  done clear
  D)
                         3m
  done clear
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• question_answer2) If \[f(x)=x{{e}^{x}}^{(1-x)},x\in R,\]then f(x) is     JEE Main Online Paper (Held On 12 May 2012)
  A)
  decreasing on [-1/2,1]
  done clear
  B)
                         decreasing on R
  done clear
  C)
                         increasing on [-1/2,1]
  done clear
  D)
                         increasing on R
  done clear
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