Solved papers for JEE Main & Advanced AIEEE Paper (Held On 11 May 2011)

done AIEEE Paper (Held On 11 May 2011) Total Questions - 1

• question_answer1) Define F(x) as the product of two real functions \[{{f}_{1}}(x)=x,x\in R,\]and \[{{f}_{2}}(x)=\left\{ \begin{matrix}    \sin \frac{1}{x}, & if\,x\ne 0\,  \\    0, & if\,x=0  \\ \end{matrix} \right.\]as follows: \[F(x)=\left\{ \begin{matrix}    {{f}_{1}}(x).{{f}_{2}}(x), & if\,x\ne 0\,  \\    0, & if\,x=0  \\ \end{matrix} \right.\] Statement -1 : F(x) is continuous on R. Statement - 2 : \[{{f}_{1}}(x)\] and \[{{f}_{2}}(x)\] are continuous on R     AIEEE  Solved  Paper (Held On 11 May  2011) .
  A)
   Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  done clear
  B)
   Statement-1 is true, Statement-2 is true; Statement-2 is NOT a correct explanation for Statement-1
  done clear
  C)
   Statement-1 is true, Statement-2 is false
  done clear
  D)
   Statement-1 is false, Statement-2 is true
  done clear
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