Home
Class 12
MATHS
Let R = {(x,y) in N xx N : 3x + y = 91}...

Let `R = {(x,y) in N xx N : 3x + y = 91}`, Then

A

R is an equivalence relation

B

R is only symmetric

C

R is only reflexive

D

R is not transitive

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS))|24 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|20 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 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 N denotes the set of all natural numbers. Define two binary relations on N as: R_(1) ={(x,y) in N xx N : 2x + y = 10} R_(2) = {(x,y) in N xx N: x + 2y = 10} , Then

Let A = {(x,y) in R xx R : y = 5^(x) + 3^(x)} B = {(x,y) in R xx R : y = 4^(x)} , Then

Let N be the set of natural numbers and a relation R on N be defined by R = { (x, y) in N xx N : x^(3) - 3 x ^(2) y - xy ^(2) + 3y ^(3) = 0 } . Then the relation R is :

Let A ={(x,y) in R xx R: y = 5^(x) + 12^(x)} B = {(x,y) in R xx R , y = 13^(x)} Then

Let A and B be two sets defined as follows: A = {(x,y) in R xx R : y = sinx} B ={(x,x) : x in R}

Let A= {(x,y) in R xx R |2x^(2)+2y^(2)-2x-2y=1}, B= {(x,y) in R xx R|4x^(2)+4y^(2)-16y+7=0} and C={(x,y) in R xx R |x^(2)+y^(2)-4x-2y+5 le r^(2)} . Then the minimum value of |r| such that A uu B sube C is equal to

Let N be the set of integers. A relation R on N is defined as R = {(x, y) | xy gt 0, xy in N} . Then, which one of the following is correct?

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-SOLVED EXAMPLES (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS) )
  1. Let N denotes the set of all natural numbers. On N xx N define R as fo...

    Text Solution

    |

  2. Let W= set of all persons living in Delhi. Define a relation R on W as...

    Text Solution

    |

  3. Let W= set of all persons living in Warangl. Define R on Was follows: ...

    Text Solution

    |

  4. On Z, the set of integers, define a relation R on Z as follows: aRb ...

    Text Solution

    |

  5. Let S=[1, infty) define a relation ~ as a,b in S, a~b if a le b^(2) th...

    Text Solution

    |

  6. On Z, define a relation R as follows: aRb if 5|(a-b)| Equivalent cla...

    Text Solution

    |

  7. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

    Text Solution

    |

  8. Let f : R to R be defined by f(x) = x^(3) + x^(2) + 5x + 2 sin x, Then

    Text Solution

    |

  9. Let f be defined by: f(x) = sqrt(x-ln(1+x)). The domain of f is

    Text Solution

    |

  10. Let f: R to R be defined by f(x) = (3x^(2)+3x-4)/(3-3x + 4x^(2)), th...

    Text Solution

    |

  11. Let f : R to R be defined by f(x) = ((x^(6) +1)x(x+1)+x^(6)+1)/(x^(2...

    Text Solution

    |

  12. On N, the set of natural numbers, a relation R is denned as follows: ...

    Text Solution

    |

  13. Let A ={a,a(2),…….a(n)} be a set containing a elements. The number of...

    Text Solution

    |

  14. Let C* = C - {0}, the set of non-zero complex number. Define a relatio...

    Text Solution

    |

  15. On R, the set of real numbers define a relation ~ as follows: a, b i...

    Text Solution

    |

  16. On Z, the set of integers define a relation R as follows: a, b in Z...

    Text Solution

    |

  17. On R, the set of real numbers, define a relation R as follows: xRy i...

    Text Solution

    |

  18. Let R = {(x,y) in N xx N : 3x + y = 91}, Then

    Text Solution

    |

  19. Let D( R) denote the set of all differentiable functions defined on R....

    Text Solution

    |

  20. Suppose [x] = greatest integer le x Let f(x) = sin^(-1)[x^(2) + 1/2]...

    Text Solution

    |