Home
Class 12
MATHS
Consider the non-empty set consisting of...

Consider the non-empty set consisting of children in a family. State giving reason whether each of the following relations is (i) Symmetric (ii) Transitive
x is a brother of y.

Text Solution

Verified by Experts

The correct Answer is:
`ne` S but T
Promotional Banner

Topper's Solved these Questions

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Problem Set (3) (FUNCTIONS AND MAPPING)|39 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Problem Set (1)|72 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

Similar Questions

Explore conceptually related problems

Consider the non-empty set consisting of children in a family and a relation R defined as aRb , if a is brother of b . Then, R is

Let A be the set of the children in a family.The relation x is a brother of y' relation on A is

R={(x y) ): x is brother of y} the relation R is : (A) Symmetric (b) transitive (c) both of these (d) none of these

R_(2)={(a,a)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

R_(3)={(b,c)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

If R and R' are symmetric relations (not disjoint) on a set A ,then the relation R uu R' is (i) Reflexive (ii) Symmetric (ii) Transitive (iv) none of these

X,Y, and Z are non-empty sets.All elementsof X are in Y and all elements of X are in Z. Which of the following does not follow from this information?

ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (2) (RELATIONS)
  1. Let R be a relation on I (the ste of integers) defined as m R n (m,nin...

    Text Solution

    |

  2. Let R be a relation defined by R = {(a, b) : a ge b}, where a and b a...

    Text Solution

    |

  3. The relation R defined in N as aRbimpliesb is divisible by a is

    Text Solution

    |

  4. An integer m is said to be related to another integer n if m is a m...

    Text Solution

    |

  5. If alpha,beta be straight lines in a plane, then check R(1)andR(2) for...

    Text Solution

    |

  6. Let n be a fixed positive integer. Define a relation R on I (the set o...

    Text Solution

    |

  7. Consider the non-empty set consisting of children in a family. State g...

    Text Solution

    |

  8. Consider the non-empty set consisting of children in a family. State g...

    Text Solution

    |

  9. Let S be the set of all points in a plane. Let R be a relation on S s...

    Text Solution

    |

  10. N is the set of natural numbers. The relation R is defined on NxxN as ...

    Text Solution

    |

  11. N is the set of positive intergers and ~ be a relation on NxxN defined...

    Text Solution

    |

  12. The following relation is defined on the set of real numbers. A R b if...

    Text Solution

    |

  13. If R be a relation a R b if 1+abgt0. What about equivalence relation ?

    Text Solution

    |

  14. A relation R on the set of complex numbers is defined by z1 R z2 if ...

    Text Solution

    |

  15. Let R be a relation defined on the set of natural numbers N as R={(...

    Text Solution

    |

  16. On the set of all points in a plane, the relation defined by the phras...

    Text Solution

    |

  17. A function R on the set N of natural numbers is defined as R={[2n,2n+1...

    Text Solution

    |

  18. A relation f on the set N of natural numbers is defined by f={(n,n+3):...

    Text Solution

    |

  19. Consider the following relations: R = {(x, y) | x, y are real numbers ...

    Text Solution

    |

  20. Let R be the set of real numbers. Statement 1:A={(x,y) in R xx R : y...

    Text Solution

    |