Home
Class 12
MATHS
Let A = (1,2,3) and R = (1,1), (2,2), (1...

Let A = (1,2,3) and R = (1,1), (2,2), (1,2), (2,1), (1,3) then R is

A

reflexive

B

symmetric

C

transitive

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Show that if A= { 1,2,3} and R ={(1,1),(2,2),(3,3) (1,2),(2,1),(2,3),(1,3) is an equivalence relation.

The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

If A = {1,2,3} and R = { (1,1}, ( 2,2), (3,3)} then R is reflexive, symmetric or transitive?

Let f = ((1,3), (2,1),(3,2)) and g = ((1,2), (2,3),(3,1)) , then find (gof) (1) and (fog) (2).

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find gof

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3),(2,1),(3,2),(5,5) find fog

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find fof

Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1,3),(2,1),(3,2),(5,5)) find gog

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let A = {1, 2, 3} and consider the relation, R = {1, 1}, (2, 2), (3, 3...

    Text Solution

    |

  2. The maximum number of equivalence relations on the set A = {1, 2, 3} a...

    Text Solution

    |

  3. Let A = (1,2,3) and R = (1,1), (2,2), (1,2), (2,1), (1,3) then R is

    Text Solution

    |

  4. Let A = {1, 2, 3}, which of the following is not an equivalence relati...

    Text Solution

    |

  5. Let R be a relation on the set N of natural numbers defined by n R m i...

    Text Solution

    |

  6. Let A = (1,2,3). Which of the following relations is a function from A...

    Text Solution

    |

  7. Let A = (1,2,3) and B = (2,3,4), then which of the following is a func...

    Text Solution

    |

  8. Let A be a finite set containing n distinct elements. The number of fu...

    Text Solution

    |

  9. If the set A contains 5 elements and the set B contains 6 elements, th...

    Text Solution

    |

  10. Set A has 3 elements and the set B has 4 elements. Then the number of ...

    Text Solution

    |

  11. Let N be the set of natural numbers and the function f:N to N be defin...

    Text Solution

    |

  12. Let f : R rarr R be defined by f(x) = 1/x AA x inR, then f is

    Text Solution

    |

  13. Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , ...

    Text Solution

    |

  14. Let f: Rrarr R be defined as f(x) = 2x for all x in N , then f is

    Text Solution

    |

  15. If f is a function from a set A to A, then f is invertible iff f is

    Text Solution

    |

  16. Let f : R rarr R be defined by f(x) = 3x - 4, then f^-1 (x) =

    Text Solution

    |

  17. Let f:[2, infty) to R be the function defined by f(x)=x^(2)-4x+5, then...

    Text Solution

    |

  18. Let f : R rarr R be defined by f(x) = x^2 +1, then, f^-1(17) and f^-1 ...

    Text Solution

    |

  19. Which of the following function from Z to itself are bijections?

    Text Solution

    |

  20. Let f : R rarr R be the functions defined by f(X) = x^3 + 5, then f^-...

    Text Solution

    |