Solved papers for JEE Main & Advanced JEE Main Paper (Held On 26 May 2012)

done JEE Main Paper (Held On 26 May 2012) Total Questions - 2

• question_answer1) Let \[f;\left( -\infty ,\infty  \right)\to \left( -\infty ,\infty  \right)\] be defined by \[f(x)={{x}^{3}}+1.\] Statement 1: The function f has a local extremumatx=0 Statement 2: The function f is continuous and differentiable on \[\left( -\infty ,\infty  \right)\] and f'(0)=0.   JEE Main Online Paper (Held On 26-May-2012)  
  A)
   Statement 1 is true. Statement 2 is false.
  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 the correct explanation for Statement 1.
  done clear
  D)
                         Statement 1 is false, Statement 2 is true.
  done clear
  View Answer play_arrow

• question_answer2) If a metallic circular plate of radius 50 cm is heated so that its radius increases at the rate of 1 mm per hour, then the rate at which, the area of the plate increases (in \[\text{c}{{\text{m}}^{\text{2}}}\]/hour) is.   JEE Main Online Paper (Held On 26-May-2012)  
  A)
  \[5\pi \]               
  done clear
  B)
                                         \[10\pi \]
  done clear
  C)
                         \[100\pi \]                          
  done clear
  D)
                         \[50\pi \]
  done clear
  View Answer play_arrow