Home
Class 11
MATHS
On the set N of all natural numbers defi...

On the set N of all natural numbers define the rational R by aRb iff the G.C.D. of a and b is 2. Then R is

A

Reflexive but not symmetric

B

symmetric only

C

reflexive and transitive

D

rreflexive, symmetric and transitive

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

On the set N of natural numbers, delined the relation F by a R b if the GCD of a and b is 2, then R is

On the set N of all natural numbers, define R as follows: aRb if and only if hcf (a,b)=3 , Then

Let a R b the relation on the set N of all natural numbers defined by a+3b = 12. Find the obtain and range of R.

Let S denote set of all integers. Define a relation R on S 'aRb if ab ge 0 where a, b in S . Then R is :

The relation R on the set N of all natural numbers defined by (x,y)in R hArr x divides y, for all x,y in N is transitive.

Let R be the relation defined on the set N of natural numbers by the rule xRy iff x + 2y = 8, then domain of R is

Let us define a relation R in R as aRb if a ge b . Then, R is

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. Let r be relation from R (set of real numbers) to R defined by r={(a,b...

    Text Solution

    |

  2. On R, a relation p is defined by xpy if and only if x-y is zero or irr...

    Text Solution

    |

  3. On the set N of all natural numbers define the rational R by aRb iff t...

    Text Solution

    |

  4. Let W denote the words in the english dicitionary define the relatio...

    Text Solution

    |

  5. For any two numbers theta and phi , we define theta R phi ...

    Text Solution

    |

  6. If the function f :N to N is defined by f (x)= sqrtx, then (f (25))/(f...

    Text Solution

    |

  7. If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le...

    Text Solution

    |

  8. Let f : R to R satisfy f (x) (2) =4, then f ((1)/(2))=

    Text Solution

    |

  9. If f(x) = cos (log (e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] ha...

    Text Solution

    |

  10. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  11. Given the function f (x) =(a ^(x) + a ^(-x))/(2), a gt 2, then f (x+y)...

    Text Solution

    |

  12. If f(x) = log ((1+x)/(1-x)), then f((2x)/(1+x^(2))) is equal to

    Text Solution

    |

  13. If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...

    Text Solution

    |

  14. If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest...

    Text Solution

    |

  15. Prove that if f (x) is periodic function with period T, then the funct...

    Text Solution

    |

  16. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  17. Let f {(1,1), (2,4), (0,-2), (-1,-5)} be a linear function from Z into...

    Text Solution

    |

  18. If f (x) =log ""(1+x)/(1-x) then-

    Text Solution

    |

  19. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

    Text Solution

    |

  20. The function f(x) = sec[log(x + sqrt(1+x^2))] is

    Text Solution

    |