Home
Class 12
MATHS
Test whether the relation : R = {(m, n)...

Test whether the relation : ` R = {(m, n):2|(m+n)}` on `ZZ` is reflexive, symmetric or transitive.

Text Solution

Verified by Experts

The correct Answer is:
R is symmetric
Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP-B (60 Marks) 3.Answer any three questions |5 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP-B (60 Marks) 4.Answer any three questions |5 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP C (30 MARKS) 11. ANSWER ANY ONE QUESTIONS |2 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PRAKASHAN|Exercise Chapter Test |11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos

Similar Questions

Explore conceptually related problems

Let R={(x,y):xlty,x,yinN} . Check if R is reflexive, symmetric or transitive.

Check whether the relation R defined on the set A = {1,2,3,4,5,6} as R = {(a,b) : b = a + 1} is reflexive, symmetric or transitive.

Test whether the relations are reflexive, symmetric or transitive on the sets specified. R={(m,n):m-n gt= 7) on Z.

Test whether the relations are reflexive, symmetric or transitive on the sets specified. R= {(m,n): m +n is not divisible by 3) on Z.

Test whether the relations are reflexive, symmetric or transitive on the sets specified. R=(m,n}: mn is divisible by 2) on Z.

Test whether the relations are reflexive, symmetric or transitive on the sets specified. R={(m,n): (m)/(n) is a power of 5} on Z - {0}.

Check if the relation R on set of real numbers, defined as R = {(a,b) : aleb^3} is reflexsive, symmetric or transitive.

Given an example of a relation which is reflexive, symmetric but not transitive.