Home
Class 12
MATHS
Let L be the set of all straight lines ...

Let `L` be the set of all straight lines in the Euclidean plane. Two line `l_(1)` and `l_(2)` are said to be related by the relation`R` of `l_(1)` is parallel to `l_(2)`, Then `R` is

A

Symmetric only

B

Transitive only

C

Reflexive only

D

Equivalence only

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

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

    RESONANCE|Exercise MCQ_TYPE|31 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 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

Let L be the set of all straight lines in the Euclidean plane. Two lines l_(1) and l_(2) are said to be related by the relation R iff l_(1) is parallel to l_(2) . Then, the relation R is not

Straight Lines L1

Straight Line L1

Straight Line L2

Let L be the set of all straight lines in a plane.I_(1) and I_(2) are two lines in the set.R_(1),R_(2) and R_(3) are defined relations

Let L be the set of all straight lines in plane. l_(1) and l_(2) are two lines in the set. R_(1), R_(2) and R_(3) are defined relations. (i) l_(1)R_(1)l_(2) : l_(1) is parallel to l_(2) (ii) l_(1)R_(2)l_(2) : l_(1) is perpendicular to l_(2) (iii) l_(1) R_(3)l_(2) : l_(1) intersects l_(2) Then which of the following is true ?

Let R be the relation over the set of all straight lines in a plane such that l_(1) R l_(2) iff l_(1) _|_ l_(2) . Then, R is

Choose the correct relation between l_(1) and l_(2) ?

Choose the correct relation between l_(1) and l_(2) ?

Let L denote the set of all straight lines in a plane. Let a relation R be defined by l\ R\ m if and only if l is perpendicular to m for all , l ,\ m in L . Then, R is (a) reflexive (b) symmetric (c) transitive (d) none of these

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Consider the following: 1. If R={(1,b)epsilonNxxN:a divides b in N} ...

    Text Solution

    |

  2. Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)...

    Text Solution

    |

  3. Let L be the set of all straight lines in the Euclidean plane. Two li...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The domain of the function f(x)=sqrt(-log.3 (x-1))/(sqrt(x62+2x+8)) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x. ...

    Text Solution

    |

  12. Domain of definition of the functioni f(x)=3/(4-x^(2))+log(10)(x^(3)-x...

    Text Solution

    |

  13. if f:[0.oo)->(0,oo), f(x) = x/(1-x) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Let f (x) =[0, if x is rational and x if x is irrational and g (x)=[...

    Text Solution

    |

  19. Which of the following pair of functions are identical

    Text Solution

    |

  20. Let f(x) be a function whose domain is [-5,6]. Let g(x)=|2x+5|,then do...

    Text Solution

    |