Home
Class 12
MATHS
Which one of the following relations on ...

Which one of the following relations on R is an equivalence relation?

A

`a R_(1) b hArr |a|=|b|`

B

`a R_(2) b hArr a ge b`

C

`a R_(3) b hArr a" divides " b`

D

`a R_(4) b hArr a lt b`

Text Solution

Verified by Experts

The correct Answer is:
A
`aR_(1)b hArr |a|=|b|` satisfies.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

In the set of integers Z, which of the following relation R is not an equivalence relation ?

Which one of the following relation shows spontaneity-

Which one off the following relation shows spontaneity?

Which one of the following relation shows spontaneity ?

Which of the following relations are not true -

Which of the following relations are correct?

State which of the following relation is true?

Which one of the following equation represents de-Broglie relation —

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , pandqa r ei n t e g e r ss u c ht h a tn ,q"!="0andq m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let R be an equivalence relation on a finite set A having n elements....

    Text Solution

    |

  2. A relation R on the set of complex number is defined by z1 R z2 iff (z...

    Text Solution

    |

  3. Which one of the following relations on R is an equivalence relation?

    Text Solution

    |

  4. Let R be the relation on the set R of all real numbers defined by aRb ...

    Text Solution

    |

  5. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |

  6. Let S be the set of all triangles and R^+ be the set of positive real ...

    Text Solution

    |

  7. The function f:(-oo,-1)vec(0, e^5) defined by f(x)=e^x^(3-3x+2) is man...

    Text Solution

    |

  8. Let f:N->N be defined by f(x)=x^2+x+1,x in N. Then f(x) is

    Text Solution

    |

  9. Let X={a1, a2,.. ,a6}a n dY={b1, b2,b3}dot The number of functions f f...

    Text Solution

    |

  10. Which of the following functions is an injective (one-one) function in...

    Text Solution

    |

  11. Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+...

    Text Solution

    |

  12. If f(x) = cos(log x) then f(x)f(y)-1/2[f(x/y)+f(xy)] has the value

    Text Solution

    |

  13. The domain of the function f(x)=(1)/(sqrt(""^(10)C(x-1)-3xx""^(10)C(x)...

    Text Solution

    |

  14. The domain of the function f(x)=(sin^(-1)(3-x))/(I n(|x|-2)i s (a) [2...

    Text Solution

    |

  15. The domain of f(x)=((log)2(x+3))/(x^2+3x+2) is (a) R-{-1,2} (b) (-2,o...

    Text Solution

    |

  16. The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...

    Text Solution

    |

  17. The domain of the function f(x)=(log)(3+x)(x^2-1) is (-3,-1)uu(1,oo) ...

    Text Solution

    |

  18. Domain of the function, f(x)=[log10 ((5x-x^2)/4)]^(1/2) is

    Text Solution

    |

  19. The domain of f(x)=log|logx| is

    Text Solution

    |

  20. If x^3f(x)=sqrt(1+cos2x)+|f(x)|, (-3pi)/4ltxlt(-pi) /2 and f(x)=(alpha...

    Text Solution

    |