2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Sets

JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    For a set A, consider the following statements:
    1. \[A\cup P(A)=P(A)\]
    2. \[\{A\}\cap P(A)=A\]
    3. \[P(A)-\{A\}=P(A)\]
    where P denotes power set. Which of the statements given above is/are correct?

    A) 1 only

    B)                   2 only

    C) 3 only

    D)                    1, 2 and 3

    Correct Answer: A

    Solution :

    [a]Since, power set is the collection of all the subsets of the set A therefore \[AUP(A)=P(A)\] \[\therefore \] statement (1) is correct.


You need to login to perform this action.
You will be redirected in 3 sec spinner