Home
Class 12
MATHS
Let A be the set of the children in a fa...

Let A be the set of the children in a family. The relation ‘x is a brother of y' relation on A is

A

reflexive

B

anti-symmetric

C

transitive

D

equivalence

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The void relation on a set A is :

Consider the non-empty set consisting of children in a family and a relation R defined by a R b if a is brother of b. Then R is

Let n(A) = n, then the number of all relations on A, is

Let S be the set of all real numbers. Then the relation R = {(a, b) : 1 + ab gt 0 } on S is :

Let T be the set of all trianges in the Euclidean plane and let a relation R on T be defined as a R b, if a is congruent to b, for all a, b in T Then R is

Let A be the set of all students of a boys school. Show that the relation R in A given by R = {(a,b):a is sister of b} is the empty relation and R' ={(a,b): the difference between heights of a and b is less than 3 meters } is the universal relation.

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L _(1) , L _(2)) : L _(1) is parallel to L _(2)}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x +4.

In the set of integers Z, which of the following relation R is not an equivalence relation?

The relation 'is subset of' on the power set P(A) of a set A is :

Let T be the set of all triangles in a plane with R a relation in T given by R ={(T _(1) , T _(2)): T _(1) is congruent to T _(2) } Show that R is an equivalence relation.