Home
Class 12
MATHS
Let S be the set of all real numbers. Th...

Let S be the set of all real numbers. Then , the relation `R = {(a, b) : 1+ ab gt 0}` on S is

A

Reflexive and symmetric but not transitive

B

Reflexive, transitive but not symmetric

C

Symmetric, Transitive but not reflexive

D

Reflexive, transitive and symmetric

Text Solution

Verified by Experts

The correct Answer is:
A

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise MATCH THE COLUMN|2 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SUBJECTIVE_TYPE|179 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

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

Similar Questions

Explore conceptually related problems

Let S be the set of all real numbers. Then the relation R= {(a,b):1+abgt0} on S is

Let N be the set of all natural numbers and let R be relation in N. Defined by R={(a,b):"a is a multiple of b"}. show that R is reflexive transitive but not symmetric .

Let Z be the set of all integers and R be the relation on Z defined by R= { (a,b): a, b in Z and (a-b) is divisible by 5} . Prove that R is an equivalence relation

Let N be the set of all natural numbers. Let R be a relation on N xx N , defined by (a,b) R (c,c) rArr ad= bc, Show that R is an equivalence relation on N xx N .

Let S be the set of all real numbers and Let R be a relations on s defined by A R B hArr |a|le b. then ,R is

Let P be the relation defined on the set of all real number such that P = [(a, b) : sec^2 a-tan^2 b = 1] . Then P is:

Let Z be the set of all integers and R be the relation on Z defined as R={(a , b); a ,\ b\ in Z , and (a-b) is divisible by 5.} . Prove that R is an equivalence relation.

Let R be the set of real numbers. What does (RxxRxxR) represent?

S is a relation over the set R of all real numbers and it is given by (a ,\ b) in ShArra bgeq0 . Then, S is symmetric and transitive only reflexive and symmetric only (c) antisymmetric relation (d) an equivalence relation

Let A be the set of all real numbers except -1 and an operation 'o' be defined on A by aob = a+b + ab for all a, b in A , then identify elements w.r.t. 'o' is

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Let R(1) be a relation defined by R(1)={(ab)|ageb,a,bepsilonR}. Then R...

    Text Solution

    |

  2. Let L denote the set of all straight lines in a plane.Let a relation R...

    Text Solution

    |

  3. Let S be the set of all real numbers. Then , the relation R = {(a, b) ...

    Text Solution

    |

  4. Consider the following: 1. If R={(a,b)epsilonNxxN:a divides b in N} ...

    Text Solution

    |

  5. If R is a relation on NxxN defined by (a,b) R (c,d) iff a+d=b+c, then

    Text Solution

    |

  6. Let L be the set of all straight lines in the Euclidean plane. Two lin...

    Text Solution

    |

  7. Let R={(x,y):x,yepsilonA,x+y=5} where A={1,2,3,4,5} then R is

    Text Solution

    |

  8. Let S be a set of all square matrices of order 2. If a relation R defi...

    Text Solution

    |

  9. The domain of the function f(x)=sqrt(-log.3 (x-1))/(sqrt(x^2+2x+8)) is

    Text Solution

    |

  10. Range of f(x) = ln(3x^2-4x+5) is

    Text Solution

    |

  11. Range of f(x) = 4^x + 2^x + 1 is

    Text Solution

    |

  12. The range of f(x)=logsqrt5 (sqrt2(sinx-cosx)+3) is

    Text Solution

    |

  13. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

    Text Solution

    |

  14. Let f : R to F, f (x) =x^(3)+ x ^(2) +3x+ sin x, then f is :

    Text Solution

    |

  15. Find the domain of the function : f(x)=3/(4-x^2)+(log)(10)(x^3-x)

    Text Solution

    |

  16. If f:[0,oo)vec[0,oo)a n df(x)=x/(1+x),t h e nf is one-one and onto one...

    Text Solution

    |

  17. Range of the function f(x)=((x-2)^2)/((x-1)(x-3)) is

    Text Solution

    |

  18. Range of the function f(x)=(x-2)/(x^2-4x+3) is

    Text Solution

    |

  19. Statement -1 If f(x) and g(x) both are one one and f(g(x)) exists, the...

    Text Solution

    |

  20. Statement-1 If y=f(x) is increasing in [alpha,beta], then its range is...

    Text Solution

    |