Home
Class 12
MATHS
Let R be a relation on the set N be defi...

Let `R` be a relation on the set `N` be defined by `{(x,y)|x,yepsilonN,2x+y=41}`. Then prove that the `R` is neither reflexive nor symmetric and nor transitive.

A

Reflexive

B

Symmetric

C

Transitive

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 2: Mappings, Mapping of Functions, Kinds of Mapping of Functions)|19 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 3: Composite Function and Relation, Inverse of a Function, Binary Operations)|27 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos
  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Let Q be the set of rational number and R be the relation on Q defined by R={(x,y):x,y in Q , x^(2)+3y^(2)=4xy} check whether R is reflexive, symmetric and transitive.

Let R be a relation on N defined by R={(x,y):2x+y=10}, then domain of R is

Let R be a relation on N defined by R={(x,y):x+2y=8). Then domain of R is

R is a relation on the set of N defined as R= {x, y): 2x + y = 24}. Then, the domain of R is:

Let R be a relation in N defined by R={(x, y):2x+y=8} , then range of R is

Let R be the relation in the set Z of all integers defined by R= {(x,y):x-y is an integer}. Then R is

Let R={(a,b):a,b inN,agtb}. Show that R is a binary relation which is neither reflexive, nor symmetric. Show that R is transitive.

Let R be the relation on the set of all real numbers defined by aRb iff |a-b|<=1 .Then R is Reflexive and transitive but not symmetric Reflexive symmetric and transitive Symmetric and transitive but not reflexive Reflexive symmetric but not transitive