Home
Class 12
MATHS
If relation R is defined as: aRb if ''a ...

If relation R is defined as: aRb if ''a is the father of b''. Then, R is

A

reflexive

B

symmetric

C

transitive

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|38 Videos

  • AREAS OF BOUNDED REGIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 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 S be a non-empty set of children in a family and R be a relation on S defined by a R b iff a is a brother of b then R is

Consider a relation R defined as aRb if 2+ab gt0 where a, b are real numbers. Then, the relation R is

Let A be a set of compartments in a train. Then the relation R defined on A as aRb iff ''a and b have the link between them'', then which of the following is true for R?

Let us define a relation R in R as aRb if a ge b . Then, R is

Let the relation R be defined in N by aRb , if 2a + 3b = 30 . Then R = …… .

Let A be the set of all animals. A relation R is defined as ''aRb iff a and b are in different zoological parks''. Then R is

Let A be the set of all student in a school. A relation R is defined on A as follows: ''aRb iff a and b have the same teacher'' The relation R, is

Let X be a family of sets and R be a relation on X defined by A is disjoint from B. Then, R, is

Let the relation R be defined in N by aRb, if 2a + 3b = 30. Then R = …… .

OBJECTIVE RD SHARMA ENGLISH-CARTESIAN PRODUCT OF SETS AND RELATIONS -Chapter Test
  1. If A = {(a, b, c, l, m, n}, then the maximum number of elements in any...

    Text Solution

    |

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

    Text Solution

    |

  3. If relation R is defined as: aRb if ''a is the father of b''. Then, R ...

    Text Solution

    |

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

    Text Solution

    |

  5. A relation between two persons is defined as follows: aRb iff a and bo...

    Text Solution

    |

  6. Which of the following is an equivalence relation?

    Text Solution

    |

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

    Text Solution

    |

  8. Let A be a set of compartments in a train. Then the relation R defined...

    Text Solution

    |

  9. If a set has 13 elements and R is a reflexive relation on A with n ele...

    Text Solution

    |

  10. The relation 'is not equal to' is defined on R, is

    Text Solution

    |

  11. Assertion and Reason type questions :Consider the following statements...

    Text Solution

    |

  12. Let X be the set of all engineering colleges in a state of Indian Repu...

    Text Solution

    |

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

    Text Solution

    |

  14. If A is a non-empty set, then which of the following is {:(f,a,l,s,e,?...

    Text Solution

    |

  15. If A = {x, y, z}, then the relation R={(x,x),(y,y),(z,z),(z,x),(z,y...

    Text Solution

    |

  16. Assertion and Reason type questions :Consider the following statements...

    Text Solution

    |

  17. The relation ''is a factor of'' on the set N of all natural number is ...

    Text Solution

    |

  18. The relation R={(1,3),(3,5)} is defined on the set with minimum number...

    Text Solution

    |

  19. If a set A contains n elements, then which of the following cannot be ...

    Text Solution

    |

  20. If A={4, 6, 10, 12} and R is a relation defined on A as ''two elements...

    Text Solution

    |