Home
Class 12
MATHS
Check whether the relation R in R, defin...

Check whether the relation R in R, defined by `R= {(a, b): a le b^3` ) is reflexive, symmetric or transitive ?

Text Solution

Verified by Experts

The correct Answer is:
the given relation is neither reflexive nor symmetric nor transitive.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION III) |7 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION IV) |7 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Show that the relation R in the set R given by, R = {(a, b): a≤b^2} neither reflexive nor symmetric nor transitive.

Check whether the relation R in the set R of real n umbers defined by : R = { (a, b), a le b^3} is reflexive, transitive or symmetric.

Show that the relation R in the set R of real number defined by R = {(a, b) : a le b }, is reflexive and transitive but not symmetric.

Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a le b^2} , is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R of real number defined as R = {(a, b): a le b^2} is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R given by : R ={(x, y): x le y^2) is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R given by : R ={(p, q): p le q^2) is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R of real numbers defined as : R = {(a,b) : a le b^2) is neither reflexive nor symmetric nor transitive.

Check whether the relation-R defined in the set of all real numbers as R={(a,b): a le b^(3)} is reflexive, symmetric or transitive.