Home
Class 12
MATHS
Determine whether each of the following ...

Determine whether each of the following relations are reflexive , symmetric and transitive :
Relation R in the set A = {1,2,3,4,5,6} as R = {(x,y):y is divisible by x}.

Text Solution

Verified by Experts

The correct Answer is:
Relation R is transitive
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.2|17 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.3|29 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set A= {1,2,3, .....13,14} defined as R= {(x,y): 3x-y =0}

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R is the set N of natural numbers defined as R = {(x,y): y = x +5 and x lt 4 } .

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set Z of all integers defined as ={ (x,y) : x - y is an integers }

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set A of human beings in a town at a particular time given by R = {(x,y): x is father of y }

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set A of human beings in a town at a particular time given by R = {(x,y)} : x is exactly 7 cm taller than y }

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set A of human beings in a town at a particular time given by R = {(x,y)} : x and y live in the same locality }

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set A of human beings in a town at a particular time given by R = {(x,y): x is wife of y }

Determine whether each of the following relations are reflexive , symmetric and transitive : 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 works at the same place }

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