Home
Class 12
MATHS
Let R be an equivalence relation defined...

Let R be an equivalence relation defined on a set containing 6 elements. The minimum number of ordered pairs that R should contain is

A

36

B

64

C

6

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Let R be an equivalence relation defined on a set containing 6 elements. The minimum number of orderded pairs that R should contain is :

Let R be an equaivalence relation defined on a set containg 6 elements .The minimum number of ordered pairs that R should contain is :

A set contains n elements. The Power set contains

Let R_1 and R_2 be two equivalence relations in the set A. Then:

The number of elements of the power set of a set containing n elements is

The number of equivalence relation that can be defined on (a, b, c) is

Let A = {1,2,3}. Then number of equivalence relations containing (1,2) is

Let A be a set containing 10 distinct elements . Then the total number of distinct functions from A to A is :

Show that number of equivalence relation in the set {1,2,2} containing (1,2) and (2,1) is two.

Let R be a relation on a set A such that R= R^(-1) . Then R is :

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

  2. Define a relation R on A ={1,2,3,4} as xRy iff x divides y. Then R is ...

    Text Solution

    |

  3. Let R be an equivalence relation defined on a set containing 6 element...

    Text Solution

    |

  4. The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) whe...

    Text Solution

    |

  5. The value of alpha(ne0) for which the function f(x)=1+alphax is the in...

    Text Solution

    |

  6. The number of one-one and onto mapping from A to B, where n(A)=6andn(B...

    Text Solution

    |

  7. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  8. If f:RtoS defined by : f(x)=sinx-sqrt(3)cosx+1, is onto, then the inte...

    Text Solution

    |

  9. Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2)...

    Text Solution

    |

  10. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  11. For real x, let f(x)=x^(3)+5x+1,, then :

    Text Solution

    |

  12. The domain of the function f(x)=(1)/(sqrt(|x|-x)) is :

    Text Solution

    |

  13. Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...

    Text Solution

    |

  14. Let f(x)=(alphax)/(x+1),xne0, then for what value of alpha is f[f(x)]...

    Text Solution

    |

  15. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  16. If f(x) = {(x, if \x \ is \rational),(0,if \ x \ is \ irrational):} ...

    Text Solution

    |

  17. Let, f:(0,1) rarr R be defined by f(x)=(b-x)/(1-b x)where b is a con...

    Text Solution

    |

  18. Which of the following is (A-B) uu(B-A)

    Text Solution

    |

  19. If A and B are any two sets then A nn (A uu B)' =

    Text Solution

    |

  20. Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

    Text Solution

    |