Solved papers for JEE Main & Advanced JEE Main Paper (Held On 19 May 2012)

done JEE Main Paper (Held On 19 May 2012) Total Questions - 2

• question_answer1) Consider a quadratic equation \[\text{a}{{\text{x}}^{\text{2}}}+\text{bx}+\text{c}=0,\]where \[\text{2a}+\text{3b}+\text{6c}=0\] and let\[g\left( x \right)=a\frac{{{x}^{3}}}{3}+b\frac{{{x}^{2}}}{2}+cx.\] Statement 1: The quadratic equation has at least one root in the interval (0, 1). Statement 2: The Rolle's theorem is applicable to function g(x) on the interval [0, 1].     JEE Main  Online Paper (Held On 19  May  2012)
  A)
  Statement 1 is false, Statement 2 is true.
  done clear
  B)
  Statement 1 is true. Statement 2 is false. Statement 1 is true, Statement 2 is true,
  done clear
  C)
  Statement 2 is not a correct explanation for Statement 1.
  done clear
  D)
                  Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
  done clear
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• question_answer2) The weight W of a certain stock of fish is given by W=nw, where n is the size of stock and w is the average weight of a fish. If n and w change with time t as \[n=2{{t}^{2}}+3\]and \[w={{t}^{2}}-t+2,\]then the rate of change of W with respect to t at t = 1 is     JEE Main  Online Paper (Held On 19  May  2012)
  A)
  1                             
  done clear
  B)
                         8
  done clear
  C)
                         13        
  done clear
  D)
                         5
  done clear
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