Home
Class 12
MATHS
Let R be the relation in the set {1, 2, ...

Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer.

A

R is reflexive and symmetric but not transitive

B

R is reflexive and transitive but not symmetric.

C

R is symmetric and transitive but not reflexive

D

R is an equivalence relation.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

Similar Questions

Explore conceptually related problems

Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2) then (a)R is reflexive and symmetric but not transitive (b)R is reflexive and transitive but not symmetric (c)R is symmetric and transitive but not reflexive (d)R is an equivalence relation

The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is not symmetric.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive.

Show that the relation R in the set {1, 2, 3} defined as R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive, but neither symmetric nor transitive.

State the reason for the relation R, in the set {1,2,3} given by R= {(1,2), (2, 1), not to be transitive.

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (...

    Text Solution

    |

  2. Which one of the following graph represents the function of x? Why?

    Text Solution

    |

  3. Show that a one-one function f : {1, 2, 3} rarr {1, 2, 3} must be onto...

    Text Solution

    |

  4. Let A be the set of all 50 students of class XII in a school. Let f: A...

    Text Solution

    |

  5. Prove that the function f : RrarrR given by f (x) = 2x is one-one and...

    Text Solution

    |

  6. Show that the function: f: N rarr N given by f(1) = f (2) = 1 and f (x...

    Text Solution

    |

  7. Show that function f: Rrarr R given by f(x) = x^2 is neither one-one n...

    Text Solution

    |

  8. Show that f : NrarrN , given by : f(x) = {(x+1,,if x is odd,,),(x-1,,i...

    Text Solution

    |

  9. If f : R rarr R is defined by f(x) = x + 2, find f(f(x))

    Text Solution

    |

  10. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

    Text Solution

    |

  11. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find fog

    Text Solution

    |

  12. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find gof.

    Text Solution

    |

  13. Find gof and fog, if f(x) = |x| and g(x) = |5x -2|

    Text Solution

    |

  14. Let f(x) = (4x+3)/(6x-4), x ne 2/3 .show that fof (x) = x.

    Text Solution

    |

  15. Find gof and fog if f: RrarrR and g: R rarr R are given by f(x) = co...

    Text Solution

    |

  16. If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be g...

    Text Solution

    |

  17. Let f : { 1, 2, 3} rarr {a, b, c} be one-one and onto function given b...

    Text Solution

    |

  18. Let A = R- {3} and B = R- {1}. If f: ArarrB is a function defined by ...

    Text Solution

    |

  19. Let Y = {n^2 : n in N} sub N Consider f : N rarr Y as f (n) = n^2 Show...

    Text Solution

    |

  20. Let f: Nrar R be a function defined as : f(x) = 4x^2 + 12 x + 15. Sho...

    Text Solution

    |

  21. Let f : N rarr N be a function deifned by f(x) = 9x^2 + 6x - 5. Show ...

    Text Solution

    |