Solved papers for JEE Main & Advanced JEE Main Online Paper (Held on 9 April 2013)

done JEE Main Online Paper (Held on 9 April 2013) Total Questions - 2

• question_answer1)                 Statement 1: The equation \[x\log x=2-x\] is satisfied by least one value of \[x\] lying between 1 and 2.                 Statement 2: The function \[f(x)\]= \[x\log x\] is an increasing function is \[[1,2]\] and \[g(x)=2-x\]is a decreasing function in [1,2] and the graphs represented by these functions intersect at a point in [1,2].                   JEE Main Online Paper (Held On 09 April 2013)
  A)
                  Statement -1 is true, Statement-2 is true. Statement -2 is correct explanation for statement-1.                
  done clear
  B)
                  Statement -1 is true, Statement -2 is true. Statement -2 is not correct explanation for statement-1.                
  done clear
  C)
                  Statement -1 is false. Statement-2 is true.                
  done clear
  D)
                  Statement -1 is true. Statement-2 is false.                
  done clear
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• question_answer2)                 If the surface area of a sphere of radius r is increasing uniformly at the rate \[8{{\operatorname{cm}}^{2}}/s,\]then the rate of change of its volume is:                   JEE Main Online Paper (Held On 09 April 2013)
  A)
                  constant                                             
  done clear
  B)
                  proportional to \[\sqrt{r}\]                
  done clear
  C)
                  proportional to \[{{r}^{2}}\]                
  done clear
  D)
                  proportional to \[r\]                
  done clear
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