Home
Class 12
MATHS
If R be a relation < from A = {1, 2, 3,4...

If `R` be a relation `<` from `A = {1, 2, 3,4) to B = (1,3,5)` that is `(a, b) in R iff a lt b`, then `R o 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)}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|39 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Let R={(x,y):x^(2)+y^(2)=1,x,y in R} be a relation in R. Then the relation R is

Let R be a relation on the set Q of all rationals defined by R={(a,b):a,binQ" and "a-binZ}. Show that R is an equivalence relation.

If R is a relation defined as aRb, "iff"|a-b|gt0 , then the relation is

If R is a relation on a finite set having n elements,then the number of relations on A is

Let R be a relation on the set A of ordered pairs of integers defined by (x,y)R(u,v) iff xv=yu .Show that R is an equivalence relation.

If R is a relation from A to B and S is a relation from B to C.Then prove that (SOR)^(-1)=R^(-1)OS^(-1)

If R is a relation from a set A to a set B and S is a relation from B to a set C, then the relation SoR