Home
Class 12
MATHS
A relation R defined on the set of natur...

A relation R defined on the set of natural numbers N by `R={(x,y):x,yinN and x+3y=12}`. Verify is R reflexive on N?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 15

    ICSE|Exercise SECTIONS-B|10 Videos
  • MODEL TEST PAPER 15

    ICSE|Exercise SECTIONS-C|11 Videos
  • MODEL TEST PAPER -19

    ICSE|Exercise SECTION A|1 Videos
  • MODEL TEST PAPER 20

    ICSE|Exercise SECTION C |10 Videos

Similar Questions

Explore conceptually related problems

Let R be a relation defined on the set of natural numbers N as R={(x , y): x , y in N ,2x+y=41} Find the domain and range of R. Also, verify whether R is (i) reflexive, (ii) symmetric (iii) transitive.

Let R be a relation defined on the set of natural numbers N as R={(x , y): x , y in N ,2x+y=41} Find the domain and range of R. Also, verify whether R is (i) reflexive, (ii) symmetric (iii) transitive.

Let R be a relation defined on the set of natural numbers N as follows: R= {(x,y): x in N, y in N and 2x + y = 24} . Find the domain and range of the relation R. Also, find if R is an equivalence relation or not.

Let R be a relation defined on the set of natural numbers N as R={(x ,\ y): x ,\ y in N ,\ 2x+y=41} Find the domain and range of R . Also, verify whether R is (i) reflexive, (ii) symmetric (iii) transitive.

Let R be a relation defined on the set of natural numbers N as R={(x ,\ y): x ,\ y in N ,\ 2x+y=41} Find the domain and range of R . Also, verify whether R is (i) reflexive, (ii) symmetric (iii) transitive.

Let R be a relation defined on the set of natural numbers as: R={(x,y): y=3x, y in N} Is R a function from N to N? If yes find its domain, co-domain and range.

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.

check whether the relation R in the set N of natural numbers given by R = { (a,b) : a is divisor of b } is reflexive, symmetric or transitive. Also determine whether R is an equivalence relation

Check whether the relation R in the set N of natural numbers given by R = { (a,b) : a is a divisor of b } is reflexive, symmetric or transitive. Also determine whether R is an equivalence relation

Define a relation R on the set N of all natural numbers by R = {(x, y) : y = x + 5, x is a natural number less than 4)