Home
Class 9
MATHS
If R={(a,b)//|a+b|=|a|+|b|} is a relatio...

If `R={(a,b)//|a+b|=|a|+|b|}` is a relation on a set `{-1,0,1}` then R is_

A

reflexive

B

symmetric

C

anti symmetric

D

equivalence.

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Write all the element of R.
(ii) R={(0,0),(1,1),(-1,-1),(0,-1),(-1,0),(1,0),(0,1)}
(iii) Check the properties , which R satisfy
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|24 Videos

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Easy type|5 Videos

  • SALES TAX AND COST OF LIVING INDEX

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|14 Videos

  • SHARES AND DIVIDENDS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 3)|10 Videos

Similar Questions

Explore conceptually related problems

If R={(a,b)//|a+b|=a+b} is a relation defined on a set (-1,0,1) then R is____

If R={(a,b): |a+b|=a+b} is a relation defined on a set {-1, 0, 1} , then R is

If R = {(a,b) : a+b=4} is a relation on {1,2,3} , then R is

Let R={(a ,\ a),\ (b ,\ b),\ (c ,\ c),\ (a ,\ b)} be a relation on set A={a ,\ b ,\ c} . Then, R is (a) identity relation (b) reflexive (c) symmetric (d) equivalence

If R is an equivalence relation on a set A, then R^(-1) is A reflexive only B.symmetric but not transitive C.equivalence D.None of these

Show that the relation R on the set A{x in Z;0<=12}, given by R={(a,b):a=b}, is an equivalence relation.Find the set of all elements related to 1.

Show that the relation R on the set A={x in Z;0<=x<=12}, given by R={(a,b):a=b}, is an equivalence relation.Find the set of all elements related to 1.

Show that each of the relation R in the set A={x in Z:0<=x<=12} given by (i) R={(a,b):|a-b| is a multiple of 4} (ii) quad R={(a,b):a=b} is an equivalence relation.Find the set of all elements related to 1 in each case.

If R is a relation from a set A to a set B and S is a relation from B to a set C, then the relation SoR

PEARSON IIT JEE FOUNDATION-SETS AND RELATIONS-LEVEL 1
  1. If p(n) is the set of first n prime numbers, then underset(n=2)overset...

    Text Solution

    |

  2. If P(n) is the set of first n prime numbers, then underset(n=3)overset...

    Text Solution

    |

  3. If n(mu)=100,n(A)=50,n(B)=20 and n(A cap B)=10, then n[(AcupB)]=

    Text Solution

    |

  4. Let Z denote the set of integers, then (x in Z,|x-3|lt4cap{x inZ:|x-4|...

    Text Solution

    |

  5. If A={n:(n^(3)+5n^(2)+2)/(n) is an integer and n itself is an integer}...

    Text Solution

    |

  6. If A=(1,2,3), then the relation R={(1,1)(2,2),(3,1),(1,3)} is

    Text Solution

    |

  7. If n(AxxB) =45, then n(A) cannot be

    Text Solution

    |

  8. If A,B and C are three non=empty sets such that A and B are disjoint a...

    Text Solution

    |

  9. R and S are two sets such that n(R)=7 and R cap Snephi Further n(S)=6 ...

    Text Solution

    |

  10. Consider the following statements: (i) Every reflexive relation is a...

    Text Solution

    |

  11. The relation is not equal to is defined on the set of real numbers is ...

    Text Solution

    |

  12. If R={(a,b)//|a+b|=|a|+|b|} is a relation on a set {-1,0,1} then R is

    Text Solution

    |

  13. For all p, such that 1 leple100, if n(A(p))=p+2 and A(1)subA(2)subA(3)...

    Text Solution

    |

  14. If R={(a,b)//a+b=4} is a relation on N, then R is

    Text Solution

    |

  15. Let R be a relation defined on S, the set of squares on a chess board ...

    Text Solution

    |

  16. Let A = {ONGC, BHEL, SAIL, GAIL, IOCL} and R be a relation defined as ...

    Text Solution

    |

  17. X is the set of all engineering colleges in the state of A.P and R is ...

    Text Solution

    |

  18. In the following figure, which of the following can be the value of (A...

    Text Solution

    |

  19. In a class, each student likes either cricket or football 40% of the s...

    Text Solution

    |

  20. For all p, such that 1leple100,n(A(p))=p+1 and A(1)subA(2)sub. . .. .s...

    Text Solution

    |