Home
Class 12
MATHS
If A and B are two equivalence relations...

If A and B are two equivalence relations defined on set C, then

A

`Ann B` is an equivalence relation

B

`A nn B` is not an equivalence relation

C

`A uu B` is an equivalence relation

D

`A uu B` is not an equivalence relation.

Text Solution

Verified by Experts

The correct Answer is:
A
If A and B are equivalence relations, then `A nn B` is also an equivalence relation.
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS) Types of Mapping|10 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS) Domain-Range, Odd-Even and Periodic Functions|11 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|30 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

  • SOLVED PAPER 2017

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

If R and S are two equivalence relations on a set A then R nn S is also an equivalence relation on R.

If and and and are equivalence relations in a set A, show that R_(1)nn R_(2) is also an equivalence relation.

Define an equivalence relation.

Let R and S be two equivalence relations on a set A Then : " " A. R uu S is an equvalence relation on A " " B. R nn S is an equirvalence relation on A " " C. R - S is an equivalence relation on A " " D. None of these

If A and B are two equivalent sets and n(A)=2016 , then n(B)= __________.

The number of equivalence relations that can be defined on set {a, b, c}, is

The maximum number of equivalence relations can be defined on the set A={1,2,3} are

show that R is an equivaence relation R defined on the set S={1,2,3,4,5} given by R={(a,b):|a-b| is even } is an equivalence relation .

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The intersection of two equivalence relations on a set A is an equivalence relation.

If R is an equivalence relation on a set A, then R^(-1) is A reflexive only B.symmetric but not transitive C.equivalence D.None of these