Home
Class 12
MATHS
Let L be the set of all lines in a pl...

Let L be the set of all lines in a plane and R be the relation in L defined as `R={(L_1,""""L_2): L_1(" i s p e r p e n d i c u l a r t o L")_2}` . Show that R is symmetric but neither reflexive nor transitive.

A

R is reflexive

B

R is symmetric

C

R is transitive

D

R is anti-symmetric

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS) )|30 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS))|24 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

Let L be the set of all lines in a plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) (is perpendicular to L_(2)} Show that R is symmetric but neither reflexive nor transitive.

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 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 s be the set of all points in a plane and R be a relation on S defines as R={(P,Q): distance between P and Q is less than 2 units } Show that R is reflexive and symmetric but not transitive.

Let L be the set of all lines in a plane and let R be a relation defined on L by the rule (x,y)epsilonRtox is perpendicular to y . Then prove that R is a symmetric relation on L .

Let L be the set of all lines in the plane and R be the relation in L, defined as : R = { (l_(i),l_(j))=l_(i) is parallel to l_(j),AA i,j }. Show that R is an equivalence relation. Find the set of all lines related to the line y=7x+5 .

Let A be the set of all lines in xy-plane and let R be relation in A , defind by R={(L_(1),L_(2)):L_(1)||L_(2)}. show that R is an equivalence relation in A. Find the set of all lines related to the line Y=3x+5.

Show that the relation R in the set {1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

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

Show that the relation R on the set A={1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. Let L be the set of all lines in a plane and R be the relation in L...

    Text Solution

    |

  2. Let f: (1 to infty) to (1, infty) be defined by f(x) =(x+2)/(x-1). The...

    Text Solution

    |

  3. Let A ={(x,y): x gt 0, y gt 0, x^(2) + y^(2) =1} and let B={(x,y) : x ...

    Text Solution

    |

  4. A college warded 38 medals in football, 15 in basketball and 20 in cr...

    Text Solution

    |

  5. Let Q be the set of all rational numbers and R be the relation defined...

    Text Solution

    |

  6. The domain of the function f(x) =1/(3-log(3)(x-3)) is

    Text Solution

    |

  7. Le f: R to R be a function defined by f(x) = x^(2009) + 2009x + 2009 ...

    Text Solution

    |

  8. Let f be a function defined on [-pi/2, pi/2] by f(x) = 3cos^(4)x - 6 c...

    Text Solution

    |

  9. Consider the following relations R(1) = {(x,y) : x and y are intege...

    Text Solution

    |

  10. Let f and g be functions defined by f(x) =1/(x+1), x in R, x ne -1 and...

    Text Solution

    |

  11. Let N be the set of natural numbers and for a in N, aN denotes the set...

    Text Solution

    |

  12. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

    Text Solution

    |

  13. Let f:Rrarr R be a function defined by, f(x)=(e^|x|-e^-x)/(e^x+e^-x t...

    Text Solution

    |

  14. If f is a function of real variable x satisfying f(x+4)-f(x+2)+f(x)=0 ...

    Text Solution

    |

  15. If A and B are two finite sets such that the total number of subsets o...

    Text Solution

    |

  16. If f(x) + 2 f(1 – x) = x^2 +1,AA x in R, then the range of f is :

    Text Solution

    |

  17. The function f(x) = (x )/( 1+ |x|) is

    Text Solution

    |

  18. In a survey it was found that 21 people liked product A, 26 liked p...

    Text Solution

    |

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

    Text Solution

    |

  20. The number of elements in the set A cap B cap C, where A ={(x,y) i...

    Text Solution

    |