Home
Class 12
MATHS
If A = {1,2,3} and consider the relatio...

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 .......

A

reflexive but not symmetric

B

reflexive but not transitive

C

symmetric and transitive

D

neither symmetric, nor transitive

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|5 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/ False)|10 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|30 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

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

The relation S on set {1,2,3,4,5} is S = {(1,1),(2,2),(3,3),(4,4),(5,5)} . The S is .........

A = {1,2,3,4} . A relation R is A is given by F = {(2,2),(3,3),(4,4),(1,2)} . Then R is relation.

If the relation R on the set {1,2,3} be defined by R = {(1,2)}. Then , R is .........

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.

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.

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. Let T be set of all triangle in the Euclidean plane , and let a relati...

    Text Solution

    |

  2. Consider the non-empty set consisting of children in a family and a re...

    Text Solution

    |

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

    Text Solution

    |

  4. If the relation R on the set {1,2,3} be defined by R = {(1,2)}. Then...

    Text Solution

    |

  5. Let us define a relation R in R as aRb if a geb . Then, R is .......

    Text Solution

    |

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

    Text Solution

    |

  7. The identity element for the binary operation ** defined on Q ~ {0} a...

    Text Solution

    |

  8. If the set A contains 5 elements and the set B contains 6 elements , t...

    Text Solution

    |

  9. If A= {1,2,3...,n} and B ={ a,b} Then , the number of subjection fr...

    Text Solution

    |

  10. If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is ...

    Text Solution

    |

  11. Let f: R rarr R be defined by f(x) = 3x^(2) - 5 and g : R rarr R, g(x...

    Text Solution

    |

  12. Which of the following functions from Z into Z are bijections ?

    Text Solution

    |

  13. If f : RrarrR be the functions defined by f(x) = x^(3) + 5 , then f^...

    Text Solution

    |

  14. If f : A rarr B and g : B rarr C be the bijective functions , then (go...

    Text Solution

    |

  15. If f:R-{3/5} rarr R be defined by f(x) = (3x+2)/(5x-3) , then ..........

    Text Solution

    |

  16. If f:[0,1] rarr [0,1] be difined by f(x) = {(x," if x is rational"),...

    Text Solution

    |

  17. If f: [(2,oo) rarr R be the function defined by f(x) =x^(2) - 4x +5, t...

    Text Solution

    |

  18. If f: N rarr R be the function defined by f(x) = (2x-1)/2 and g : Q ra...

    Text Solution

    |

  19. f : R rarr R , f(x) ={{:(2x,xgt3),(x^2,1ltxle3),(3x,xle1):} then find...

    Text Solution

    |

  20. If f : R rarr R be given by f(x) = tan x , then f^(-1)(1) is .......

    Text Solution

    |