Home
Class 9
MATHS
If a set A has 13 elements and R is a re...

If a set A has 13 elements and R is a reflexive relation on A with a elementss, ` n in Z^(+)`, then

A

`13lenle26`

B

`0lenle26`

C

`13lenle169`

D

`0lenle169`

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Recall the properties of identify relation.
(ii) If `n(A)=p` and R is reflexive defined on A then `Plen(R)leP^(2)`.
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 1|29 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 a set has 13 elements and R is a reflexive relation on A with n elements, then

If a set A has 4 elements and a reflexive relation R defined in set A has x elements, then what is the range of x?

The number of reflexive relations of a set with four elements is equal to

If the set A has 10 elements, then the ratio of total number of reflexive relations to total number of symmetric relations is 2^(k) then k=

Let R be a reflexive relation on a set A and I be the identity relation on A.Then

Let A be a set containing n elements. If the number of reflexive relations that can be defined on A is 64, then n is equal to

Let set A=(a,b,c), then number of possible reflexive relations on set A are

How many reflexive relations are possible in a set A whose n(A)=3 .

PEARSON IIT JEE FOUNDATION-SETS AND RELATIONS-LEVEL 2
  1. If A=(1,2,3,4), then how many subsets of A contain the element 1 but n...

    Text Solution

    |

  2. A relation R: ZrarrZ defined by R={(x,y)//y=x^(2)-1} is

    Text Solution

    |

  3. If a set A has 13 elements and R is a reflexive relation on A with a e...

    Text Solution

    |

  4. Example of an equivalence relation among the following is

    Text Solution

    |

  5. If A={p in N,p is a prime and p=(7n^(2)+3n+3)/(n) for some n in N), th...

    Text Solution

    |

  6. aRb' if a is the father of b. then R is

    Text Solution

    |

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

    Text Solution

    |

  8. A relation R,NrarrN defined by R={(x,y)//y=x^(2)+1) is

    Text Solution

    |

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

    Text Solution

    |

  10. Set builder form of the relation R={(-2, -7),(-1, -4),(0,-1),(1,2),...

    Text Solution

    |

  11. A group of 30 men participate in a sruvey on language skills. The numb...

    Text Solution

    |

  12. In a locality the number of people buying only The Times of India is 8...

    Text Solution

    |

  13. Find the number of subsets of A xx B, if n(A)=2 and n(B)=4 The follo...

    Text Solution

    |

  14. If x=(1,2,3,4,5,6) and A=(1,2,3,4) and B=(3,4,5,6) then find AcapB. Th...

    Text Solution

    |

  15. If A=(1,2) and B=(2,3), then find the number of elements in (AxxB)cap(...

    Text Solution

    |

  16. The number of subsets of {(a),(b,c),d,e) is

    Text Solution

    |

  17. If R={(a,a),(a,c),(b,c),(b,b),(c,c),(a,b)} on the set X=(a,b,c), then ...

    Text Solution

    |

  18. The relation R={(2,3),(1,1),(1,3),(3,1)} on the set A=(1,2,3) is

    Text Solution

    |

  19. Which of the following statement(s) is/are true? (A) Every subset o...

    Text Solution

    |

  20. If A and B are two non empty sets and n(AxxB)=36, then which of the fo...

    Text Solution

    |