Home
Class 12
MATHS
If A = {1,2,3,4} and IA be the identity ...

If A = {1,2,3,4} and `I_A` be the identity relation on A, then

A

`(1,2)inI_A`

B

`(2,2)inI_A`

C

`(2,1)inI_A`

D

`(3,4)inI_A`,

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SET (11)

    UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

  • SET 12

    UNITED BOOK HOUSE|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

When is a relation R on a set A not antisymmetric? Let A={1,2,3,4} and R be a relation on A defined by R={(1,1), (2,2), (3,4), (3,3),(2,1), (4,3)}. Is R antisymmetric on A?

When is a relation R on a set A not symmetric ? Let X= {1,2,3,4} and R be a relation on set X defined by R ={(1,2), (3,4), (2,2), (4,3), (2,3) }. Is R symmetric on X?

Knowledge Check

  • Let A = {1,2,3,4} and R be a relation in A given by R = {(1,1) (2,2) (3,3) (4,4) (1,2) (2,1) (3,1) (1,3)} . Then R is

    A
    reflexive
    B
    symmetric
    C
    transitive
    D
    an equivalence relation

  • Let A be a square matrix of order 3 whose all entries are 1 and let I_3 be the identity matrix of order 3. Then the matrix A-3I_3 is

    A
    invertible
    B
    orthogonal
    C
    non-invertible
    D
    real skew symmetric matrix

  • Let A={1,2,3} and R be a relation defined on A, such that, R{(1,2),(2,1)}, then the relation R will be

    A
    reflexive
    B
    symmetric
    C
    transitive
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Let A ={1,2,3} be a given set. Define a relation on A which is (i) reflexive and transitive but not symmetric on A

    A={a,b,c}and B={1,2,3,4} .Find the total number of relation from A to B.

    Let A = {1,2,3}. Then number of equivalence relations containing (1,2) is

    Let A= {1,2,3} and R={(1,2), (2,3), (3,3), }be a relation on A. Add a (i) minimum (ii) maximum number of ordered pairs to R so that enlarged relation becomes an equivalence relation on A.

    When is a relation R on a set A not transitive ? Let A={1,2,3,4} and a relation R on A be given by R={(2,3),(2,2), (3,1), (3,2), (4,1)} Is R transitive on A?

    Home
    Profile