Home
Class 12
MATHS
Let R be a relation over the set NxxN an...

Let `R` be a relation over the set `NxxN` and it is defined by `(a,b)R(c,d)impliesa+d=b+c`. Then `R` is

A

reflexive but neither symmetric nor transitive.

B

symmetric but neither reflexive nor transitive.

C

transitive but neither reflexive nor symmetric

D

symmetric and transitive but not reflexive

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS|50 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

Let R be a relation on the set Q of all rationals defined by R={(a,b):a,binQ" and "a-binZ}. Show that R is an equivalence relation.

Prove that the relation R on the set N xx N defined by (a,b)R(c,d)a+d=b+c for all (a,b),(c,d)in N xx N is an equivalence relation.Also,find the equivalence classes [(2, 3)] and [(1,3)].

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The intersection of two equivalence relations on a set A is an equivalence relation.

Let A={1,2,3,4}.Let R be the equivalence relation on A times A defined by (a,b)R(c,d) iff a +d=b+c. Find the equivalence class '[(1,3)]'

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The union of two equivalence relations is an equivalence relation.

Let R be a relation in a set N of natural numbers defined by R = {(a,b) = a is a mulatiple of b}. Then:

Let A={1,2,3,4}. Let R be the equivalence relation on A xx A defined by (a,b)R(c,d)hArr a+d=b+c. Find an equivalence class for [2quad 3]

Let A={1,2,3,......, 12} and R be a relation in A xx A defined by (a, b) R (c,d) if ad=bc AA(a,b),(c,d) in A xx A . Prove that R is an equivalence relation. Also obtain the equivalence class [(3,4)] .

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. Let f: (1 to infty) to (1, infty) be defined by f(x) =(x+2)/(x-1). The...

    Text Solution

    |

  2. Let A ={(x,y): x gt 0, y gt 0, x^(2) + y^(2) =1} and let B={(x,y) : x ...

    Text Solution

    |

  3. A college warded 38 medals in football, 15 in basketball and 20 in cr...

    Text Solution

    |

  4. Let Q be the set of all rational numbers and R be the relation defined...

    Text Solution

    |

  5. The domain of the function f(x) =1/(3-log(3)(x-3)) is

    Text Solution

    |

  6. Le f: R to R be a function defined by f(x) = x^(2009) + 2009x + 2009 ...

    Text Solution

    |

  7. Let f be a function defined on [-pi/2, pi/2] by f(x) = 3cos^(4)x - 6 c...

    Text Solution

    |

  8. Consider the following relations R(1) = {(x,y) : x and y are intege...

    Text Solution

    |

  9. Let f and g be functions defined by f(x) =1/(x+1), x in R, x ne -1 and...

    Text Solution

    |

  10. Let N be the set of natural numbers and for a in N, aN denotes the set...

    Text Solution

    |

  11. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

    Text Solution

    |

  12. Let f:Rrarr R be a function defined by, f(x)=(e^|x|-e^-x)/(e^x+e^-x t...

    Text Solution

    |

  13. If f is a function of real variable x satisfying f(x+4)-f(x+2)+f(x)=0 ...

    Text Solution

    |

  14. If A and B are two finite sets such that the total number of subsets o...

    Text Solution

    |

  15. If f(x) + 2 f(1 – x) = x^2 +1,AA x in R, then the range of f is :

    Text Solution

    |

  16. The function f(x) = (x )/( 1+ |x|) is

    Text Solution

    |

  17. In a survey it was found that 21 people liked product A, 26 liked p...

    Text Solution

    |

  18. Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)...

    Text Solution

    |

  19. The number of elements in the set A cap B cap C, where A ={(x,y) i...

    Text Solution

    |