Home
Class 12
MATHS
For n,mepsilonN,n|m means that n is a fa...

For `n,mepsilonN,n|m` means that `n` is a factor of `m` then relation `|` is

A

Reflexive

B

Symmetric

C

Transitive

D

Equivalence

Text Solution

Verified by Experts

The correct Answer is:
A, C
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise COMPREHENSION_TYPE|6 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE ADVANCED|14 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

For n.m in N,n|m means that n a factor of m, the relation |is- (i) reflexive and symmetric (ii) transitive and symmetric (ii) reflexive, transitive and symmetric (iv) reflexive, transitive and not symmetric

Let R be a relation on the set N of naturalnumbers defined by nRm hArr n is a factor of m(ie.nim) Then R is

If M + N means M is brother of N, M/N means M is father of N and M x N means M is sister of N. Which of the following means A is uncle of B ?

An integer m is said to be related to another integer n if m is a multiple of n. Check if the relation is symmetric,reflexive and transitive.

An integer m is said to be related to another integer n if m is a multiple of n. Check if the relation is symmetric,reflexive and transitive.

RESONANCE-RELATION, FUNCTION & ITF-MCQ_TYPE
  1. Let A={1,2,3,4} and R be a relation in given by R= (1,1), (2, 2), (3...

    Text Solution

    |

  2. For n,mepsilonN,n|m means that n is a factor of m then relation | is

    Text Solution

    |

  3. If f(x)="sin ln" ((sqrt(4-x^(2)))/(1-x)) then

    Text Solution

    |

  4. D is domain and R is range of f(x) =sqrt(x-1)+2 sqrt(3-x), then

    Text Solution

    |

  5. If [2 cos x ] + [sin x]=-3, then the range of the function, f (x)=sin...

    Text Solution

    |

  6. Let D-=[-1,1] is the domain of the following functions state which of ...

    Text Solution

    |

  7. Letf(x)=x^(135)+x^(125)-x^(115)+x^(5)+1. If f(x) divided by x^(3)-x, t...

    Text Solution

    |

  8. The function f:xtoY defined by f(x)=x^(2)-4x+5 is both one-one and ont...

    Text Solution

    |

  9. f:NtoN where f(x)=x-(-1)^(x) then f is

    Text Solution

    |

  10. Which one of the following pair of functions are NOT identical?

    Text Solution

    |

  11. If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmet...

    Text Solution

    |

  12. If f(x)={(x^(2),xle1),(1-x,xgt1):} & composite function h(x)=|f(x)|+f(...

    Text Solution

    |

  13. Let f(x)={0 for x=0 x^2 sin (pi/x) for -1 < x < 1(x != 0), then : x |...

    Text Solution

    |

  14. If g:[-2,2]vecR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd function, ...

    Text Solution

    |

  15. If f:Rto[-1,1] where f(x)=sin((pi)/2[x]), (where [.] denotes the great...

    Text Solution

    |

  16. If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] deno...

    Text Solution

    |

  17. Identify the statement(s) which is/are incorrect?

    Text Solution

    |

  18. If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional pa...

    Text Solution

    |

  19. Let f:R->R and g:R->R be two one-one and onto functions such that they...

    Text Solution

    |

  20. Which of the following pairs of functions are identical?

    Text Solution

    |