Home
Class 12
MATHS
A relation R={(x,y):x,y in A and x lt y}...

A relation `R={(x,y):x,y in A and x lt y}` is defined on set A={1,2,3,4,5}. The relation R is :

A

reflexive

B

symmetric

C

transitive

D

equivalence

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 1.1|8 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 1.2|12 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercies 1d|10 Videos

  • PROBABIILITY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|23 Videos

Similar Questions

Explore conceptually related problems

Let N be the set of all natural numbers and we define a relation R={(x ,y):x, y in N , x+y is a multiple of 5} then the relation R is

Let R be a relation on the set of natural numbers ,defined as R ={(x,y):x+2y=20, x,y varepsilon N} and x varepsilon {1,2,3,4,5} .Then ,the range of R is :

Determine whether each of the following relations are reflexive, symmetric and transitive: (i) Relation R in the set A = {1, 2, 3, ..., 13, 14} defined as R = {(x, y) : 3x – y = 0} (ii) Relation R in the set N of natural numbers defined as R = {(x, y) : y = x + 5 and x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} as R = {(x, y) : y is divisible by x } (iv) Relation R in the set Z of all integers defined as R = {(x, y) : x – y is an integer} (v) Relation R in the set A of human beings in a town at a particular time given by (a) R = {(x, y) : x and y work at the same place} (b) R = {(x, y) : x and y live in the same locality} (c) R = {(x, y) : x is exactly 7 cm taller than y } (d) R = {(x, y) : x is wife of y } (e) R = {(x, y) : x is father of y }

Let A={0,1,2,3,4,5,6,7} ,A relation R is defined from A to A , where R= {(x,y):y=x+5,x,y in A} .Then the relation R has the range

Let R={(x,y):|x^(2)-y^(2)|<1} be a relation on set A={1,2,3,4,5}. Write R as a set of ordered pairs.

Let R={(x,y):x^(2)+y^(2)=1,x,y in R} be a relation in R. Then the relation R is

Let A = {1, 2, 3, 4, 5, 6, 7, 8} and R be the relation on A defined by : R= {(x,y): x in A, y in A and x + 2y = 10} Find the domains and ranges of R and R^(-1) after expressing them as sets of ordered pairs.

A relation R is defined from a set A={2,3,4,5} to a set B=3,6,7,10 as a follows: (x,y in R:x divides y Express R as a set of ordred pairs and determine the domain and range of R Also,find R^(-1) .

If a set A has a relation R and (x, y) in R implies (y, x) R AA x,y in A then the relation R is called