Home
Class 12
MATHS
Let R be the relation on the set R of a...

Let R be the relation on the set R of all real numbers, defined by `a to b` if `abs(a-b) le 1`. Then, R is

A

Reflexive and symmetric only

B

Reflexive and transitive only

C

Equivalence

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2012

    BITSAT GUIDE|Exercise Mathematics (Single correct answer type:)|45 Videos
  • QUESTION-PAPERS-2014

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

Similar Questions

Explore conceptually related problems

Let R be the relation on the set R of all real numbers defined by a Rb Iff |a-b|<=1 Then R is

Let R be the relation on the set of all real numbers defined by aRb iff |a-b|<=1 .Then R is Reflexive and transitive but not symmetric Reflexive symmetric and transitive Symmetric and transitive but not reflexive Reflexive symmetric but not transitive

The relation R, in the set of real number defined as R = {(a,b): a lt b} is:

Let R be a relation on the set of all real numbers defined by xRy hArr|x-y|<=(1)/(2) Then R is

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 S be a relation on the set R of all real numbers defined by S={(a,b)epsilon RxR:a^(2)+b^(2)=1}. Prove that S is not an equivalence relation on R.

Let S be a relation on the set R of all real numbers defined by R:a^(2)+b^(2)=1}. Prove S={(a,b)in R xx R:a^(2)+b^(2)=1}. Prove that S is not an equivalence relation on R .

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.

S is a relation over the set R of all real numbers and it is given by (a,b)in S hArr ab>=0. Then S is :

BITSAT GUIDE-QUESTION-PAPERS-2013-Mathematics
  1. The value of sum (k = 1)^(6) ( sin "" ( 2 pi k)/( 7) - i cos "" ( 2 p...

    Text Solution

    |

  2. The mean life of a sample of 60 bulbs was 650 and the standard deviati...

    Text Solution

    |

  3. Let R be the relation on the set R of all real numbers, defined by a ...

    Text Solution

    |

  4. int(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx, where [.] denotes the greate...

    Text Solution

    |

  5. The value of the expression sin[cot^(-1) (cos(tan^(-1)1))] is

    Text Solution

    |

  6. Sum of the series 1 + 2.2 + 3.2^(2) + 4.2^(3)+…+ 100.2^(99) is

    Text Solution

    |

  7. The shaded region given below represents the constraints (other than x...

    Text Solution

    |

  8. The coefficient of x^(n) in the expansion of log(e ) ((1)/(1+x+x^(2)+x...

    Text Solution

    |

  9. The maximum value of f(x) =(log x)/(x) (x ne 0, x ne 1) is

    Text Solution

    |

  10. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  11. lim(x to 0)((1+5x^(2))/(1+3x^(2)))^(1//x^(2))=

    Text Solution

    |

  12. An object is observed from the points A, B and C lying in a horizontal...

    Text Solution

    |

  13. The function f:(-oo,-1) to (0, e^5] defined by f(x)=e^(x^(3-3x+2)) is

    Text Solution

    |

  14. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  15. The system of equations x-y+3z=4,x+z=2 x+y-z=0 has

    Text Solution

    |

  16. The sum of the sequence upto 5, 55, 555, …. upto n infinite terms is

    Text Solution

    |

  17. A plane passes through the point (1,-2,3) and is parallel to the plane...

    Text Solution

    |

  18. Distance between the pair of lines represented by the equation x^(2)-6...

    Text Solution

    |

  19. If A={x in CC : x^(4) -1=0} B={x in CC :x^(2) -1=0} C={x in CC :x^...

    Text Solution

    |

  20. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |