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

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) || l_(2)`. Then the relation R is :

A

reflexive

B

symmetric

C

transitive

D

equivalence

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    MODERN PUBLICATION|Exercise AIEEE/JEE EXAMINATIONS|1 Videos

  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos

  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

Similar Questions

Explore conceptually related problems

Let T be the set of all trianges in the Euclidean plane and let a relation R on T be defined as a R b, if a is congruent to b, for all a, b in T Then R is

Let A= {1,2,3}. Then the relation R= {(2,3)} in A is :

Let R be the relation over the set of straight lines in a plane such that l R m iff l bot m . Then R is :

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

If l^(2)=r^(2)+h^(2) , then the value of h is :

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L _(1) , L _(2)) : L _(1) is parallel to L _(2)}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x +4.

Let R_1 and R_2 be two equivalence relations in the set A. Then:

Let a relation R in the set of natural number be defined by (x,y) in R iff x^(2)-4xy+3y^(2)=0 for all x,y in N . Then the relation R is :

If R_(1) and R_(2) are equivalence relations in a set A, show that R_(1) nn R_(2) is also an equivalence relation.

MODERN PUBLICATION-RELATIONS-MCQ LEVEL-II
  1. Let R be a relation in the set of natural numbers defined by R= {(1+x,...

    Text Solution

    |

  2. R is a relation over the set of real numbers and it is given by mn ge ...

    Text Solution

    |

  3. R is a relation over the set of integers and it is given by (x,y) in R...

    Text Solution

    |

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

    Text Solution

    |

  5. Let R be the relation over the set of straight lines in a plane such t...

    Text Solution

    |

  6. Let R be the relation over the set of integers such that l R m iff l i...

    Text Solution

    |

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

    Text Solution

    |

  8. Let R ={(x,y) : x,y in A, x+y=5}, where A= {1,2,3,4,5}. Then :

    Text Solution

    |

  9. For x,y in R, define a relation R by x R y if and only if x-y+sqrt(2) ...

    Text Solution

    |

  10. Given the relation R= {(1,2),(2,3)} is the set A= {1,2,3}. Then the mi...

    Text Solution

    |

  11. Let A= {a,b,c}. Which of the following is not an equivalence relation ...

    Text Solution

    |

  12. Let R1 and R2 be two equivalence relations in the set A. Then:

    Text Solution

    |

  13. If A is the set of even natural numbers less than 8 and B is the set o...

    Text Solution

    |

  14. Let R= {(1,3), (4, 2), (2, 4), (2, 3) , (3, 1)} be a relation on the s...

    Text Solution

    |

  15. Let R= { (3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3,9), (3, 12), (...

    Text Solution

    |

  16. Let x,y in I and suppose that a relation R on I is defined by x R y if...

    Text Solution

    |

  17. The relation R defined on the set A = { 1, 2, 3, 4} by : R= {( x,y)...

    Text Solution

    |

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

    Text Solution

    |

  19. Let W denote the words in the English dictionary. Define the relation ...

    Text Solution

    |

  20. Let R be the real line, Consider the following subsets of the plane R...

    Text Solution

    |