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

JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    If R be a relation < from A = {1,2, 3, 4} to B = {1, 3, 5} i.e., \[(a,\,b)\in R\Leftrightarrow a<b,\] then \[Ro{{R}^{-1}}\] is

    A) {(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}

    B) {(3, 1) (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}

    C) {(3, 3), (3, 5), (5, 3), (5, 5)}

    D) {(3, 3) (3, 4), (4, 5)}

    Correct Answer: C

    Solution :

    We have, R = {(1, 3); (1, 5); (2, 3); (2, 5); (3, 5); (4, 5)} \[{{R}^{-1}}=\] {(3, 1), (5, 1), (3, 2), (5, 2); (5, 3); (5, 4)} Hence \[Ro{{R}^{-1}}\]= {(3, 3); (3, 5); (5, 3); (5, 5)}.


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