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

  • question_answer
    Let A and B be nonempty sets in R and\[f:A\to B\] is a objective function. Statement 1: fis an onto function. Statement 2: There exists a function \[g:B\to A\] such that \[fog={{I}_{B}}.\].   JEE Main Online Paper (Held On 26-May-2012)  

    A) Statement 1 is true, Statement 2 is false.

    B)                        Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.

    C)                        Statement 1 is false. Statement 2 is true.

    D)                        Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1.

    Correct Answer: D

    Solution :

                    Let A and B be non-empty sets in R. Let f: \[A\to B\] is bijective function. Clearly statement - 1 is true which says that f is an onto function. Statement - 2 is also true statement but itis not the correct explanation forstatement-1


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