Home
Class 12
MATHS
If A = { 1, 2, 3}, then the relation R =...

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

A

transitive only

B

reflexive only

C

symmetric only

D

symmetric and transitive only

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Long Answer Type Questions (I))|8 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|30 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (d) (Long Answer Type Questions (I))|9 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If A = {1, 2, 3} and consider the relation R ={(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} Then, R is

If A={1,2,3}, then a relation R={(2,3)} on A is

The domain of the relation R = {(1,3), (3,5),(2,6)} is

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

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE 1 (e) (Short Answer Type Questions)
  1. Determine whether or not each of the definition of '**' given below gi...

    Text Solution

    |

  2. Show that the binary operation '**' defined from NxxNrarrN and given ...

    Text Solution

    |

  3. For each binary operation * defined below, determine whether * is com...

    Text Solution

    |

  4. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  5. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  6. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  7. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  8. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  9. For each binary operation '**' defined below, determine whether '**' i...

    Text Solution

    |

  10. Is *defined on the set {1, 2, 3, 4, 5} b y a * b = LdotCdotMdotof a a...

    Text Solution

    |

  11. Let *be the binary operation on N given by a*b = LdotCdotMdotof a and...

    Text Solution

    |

  12. Let * be a binary operation on N defined by a ** b = HCF of a and b. S...

    Text Solution

    |

  13. If n(A) = p and n(B) = q, then the number of relations from set A to s...

    Text Solution

    |

  14. (a) Let '**' be a binary operation defined on Q, the set of rational n...

    Text Solution

    |

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

    Text Solution

    |

  16. In the binary operation **: QxxQrarrQ is defined as : (i) a**b=a+b-a...

    Text Solution

    |

  17. The binary operation ** defined on NN by a**b=a+b+ab for all a,binNN i...

    Text Solution

    |

  18. Discuss the commutativity and associativity of the binary operation * ...

    Text Solution

    |

  19. Find the domain and range of the real function f(x) = x/(1-x^2)

    Text Solution

    |

  20. Show that the operation '**' on Q - {1} defined by a**b=a+b-ab for...

    Text Solution

    |