Home
Class 12
MATHS
Let a relation R in the set of natural n...

Let a relation R in the set of natural number be defined by `(x,y) in R iff x^(2)-4xy+3y^(2)=0` for all `x,y in N`. Then the relation R is :

A

reflexive

B

symmetric

C

transitive

D

an equivalence relation

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    MODERN PUBLICATION|Exercise MCQ LEVEL-II|21 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise AIEEE/JEE EXAMINATIONS|1 Videos
  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

Similar Questions

Explore conceptually related problems

If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)} , then R is

Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is

R be the relation on the set N of natural numbers, defined by xRy if and only if x+2y=8. The domain of R is

Let R be a relation in the set of natural numbers defined by R= {(1+x,1+x^(2)) : x le 5, x in N} . Which of the following in false :

Let us define a relation R on the set R of real numbers as a R b if a ge b . Then R is

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Define a relation R on the set N of natural numbers by R= {(x, y): y= x+5, x is a natural number less than 4, x, y in N}. Depict this relationship using roster form. Write down the domain and the range.

Show that the relation R in the set of all natural number, N defined by is an R = {(a , b) : |a - b| "is even"} in an equivalence relation.

Prove that the relation R defined on the set N of natural numbers by xRy iff 2x^(2) - 3xy + y^(2) = 0 is not symmetric but it is reflexive.

Let R be a relation on the set Z of all integers defined by:(x,y) in R implies(x-y) is divisible by n is eqivalence