Home
Class 12
MATHS
Let R= { (3, 3), (6, 6), (9, 9), (12, 1...

Let R= { (3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3,9), (3, 12), (3,6)} be a relation on the set A= { 3,6,9,12}.
The relation is :

A

reflexive and symmetric

B

an equivalence relation

C

reflexive only

D

reflexive and transitive only

Text Solution

Verified by Experts

The correct Answer is:
D
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 = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12),(12,12), (3, 6)} is a relation on set A = {3, 6, 9, 12} then R is

Let A= {1,2,3,4} and R= {(2,2),(3,3),(4,4),(1,2)} be relation on A. Then A is :

The mean deviation of the data 2, 9, 9, 3, 6, 9, 4 from the mean is :

Write {3,6,9,12} in the set -builder form ?

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

The standard deviation of the data 6, 5, 9, 13, 12, 8, 10 is :

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A′.

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 } . Find A'

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 } . Find B'

Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 } . Find (A ∪ C)′

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. The number of one-one and onto mapping from A to B, where n(A)=6andn(B...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The image of the interval [-1,3] under the mapping f: R rarr R given b...

    Text Solution

    |

  17. The number of functions that can be formed from the set A={a, b, c, d}...

    Text Solution

    |

  18. Let R= { (3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3,9), (3, 12), (...

    Text Solution

    |

  19. Let Y={1,2,3,4,5}, A={1,2}, B={3,4,5} and phi denotes the null set. ...

    Text Solution

    |

  20. Let A={2,3,4,5, .., 17,18} . Let ~ ' be the equivalence relation on A ...

    Text Solution

    |