Home
Class 12
MATHS
On the set N of all natural numbers defi...

On the set N of all natural numbers define the rational R by aRb iff the G.C.D. of a and b is 2. Then R is

A

reflexive, but not symmetric

B

symmetric only

C

reflexive and transitive

D

not reflexive, not symmetric, not transitive

Text Solution

Verified by Experts

The correct Answer is:
B
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

On the set N of natural numbers, delined the relation F by a R b if the GCD of a and b is 2, then R is

On the set N of all natural numbers, define R as follows: aRb if and only if hcf (a,b)=3 , Then

Let a R b the relation on the set N of all natural numbers defined by a+3b = 12. Find the obtain and range of R.

Let S denote set of all integers. Define a relation R on S 'aRb if ab ge 0 where a, b in S . Then R is :

The relation R on the set N of all natural numbers defined by (x,y)in R hArr x divides y, for all x,y in N is transitive.

Let R be the relation defined on the set N of natural numbers by the rule xRy iff x + 2y = 8, then domain of R is

Let us define a relation R in R as aRb if a ge b . Then, R is