Home
Class 12
MATHS
Let R={(x,y):xlty,x,yinN}. Check if R is...

Let `R={(x,y):xlty,x,yinN}`. Check if R is reflexive, symmetric or transitive.

Promotional Banner

Topper's Solved these Questions

  • PREVIOUS YEAR QUESTION 2020

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |46 Videos

  • VECTORS THREE DIMENSIONAL GEOMETRY

    USHA PUBLICATION|Exercise EXERCISE|81 Videos

Similar Questions

Explore conceptually related problems

Check whether the relation R defined on the set A = {1,2,3,4,5,6} as R = {(x,y):y is divisible by x} is reflexive, symmetric and transitive.

Test whether the relation : R = {(m, n):2|(m+n)} on ZZ is reflexive, symmetric or transitive.

Show that the relation R defined on the set Z of all integers defined as R={(x,y):x-y is an integer} is reflexive, symmertric and transtive.

Check whether the relation R defined in the set A = {1,2,3,...,13,14 as R = {(x,y):3x - y =0} is reflexive, symmetric and transitive.

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

Check if the relation R on set of real numbers, defined as R = {(a,b) : aleb^3} is reflexsive, symmetric or transitive.

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

USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
  1. What is the total number of relations from a set A to set B, where abs...

    Text Solution

    |

  2. What is the partition of the set {1,2} induced by the equivalence rela...

    Text Solution

    |

  3. Let R={(x,y):xlty,x,yinN}. Check if R is reflexive, symmetric or trans...

    Text Solution

    |

  4. If a relation is symmetric and transitive on any non-empty set, then i...

    Text Solution

    |

  5. Let R be a relation in the set of natural numbers N defined by xRy if ...

    Text Solution

    |

  6. Write true or false in the following with reason or by suitable exampl...

    Text Solution

    |

  7. Write true or false in the following with reason or by suitable exampl...

    Text Solution

    |

  8. Compute the following remainder function. r3(185)

    Text Solution

    |

  9. Compute the following remainder function. r6(-500)

    Text Solution

    |

  10. Mark as true (T) or false (F). The function f:Rrightarrow[-1,1] define...

    Text Solution

    |

  11. Mark as true (T) or false (F). The function f:RrightarrowR defined by ...

    Text Solution

    |

  12. Mark as true (T) or false (F). The greatest integer function is not on...

    Text Solution

    |

  13. Mark as true (T) or false (F). The identity function is an odd functio...

    Text Solution

    |

  14. Mark as true (T) or false (F). Let f:RrightarrowR is defined by f(x)=x...

    Text Solution

    |

  15. Mark as true (T) or false (F). Let absA=3,absB=5. Then the number of o...

    Text Solution

    |

  16. Mark as true (T) or false (F). If absA=5,absB=2, then the number of on...

    Text Solution

    |

  17. Let f(x)=x^2 and g(x)=sqrtx. Then find (gof)(4).

    Text Solution

    |

  18. Find a linear function f which maps [-1,1] onto [0,2].

    Text Solution

    |

  19. Find the range of the function f(x)=frac[1][2-sin3x]

    Text Solution

    |

  20. If A={a,b,c} and B={1,2}, then find all functions from A to B. How man...

    Text Solution

    |