Home
Class 12
MATHS
On set A=|1,2,3|, relations R and S are ...

On set `A=|1,2,3|`, relations R and S are given by
`R=|(1,1),(2,2),(3,3),(1,2),(2,1)"|`
`S=|(1,1),(2,2),(3,3),(1,3),(3,1)"|` Then

A

`RuuS` is an equivalence relation

B

`RuuS` is reflexive and transitive but not symmetric

C

`RuuS` is reflexive and symmetric but not transitive

D

`RuuS` is symmetric and transitive but not reflexive

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos
  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

On set A={1,2,3}, relations R and S are given by R={(1,1),(2,2),(3,3),(1,2),(2,1)}, S={(1,1),(2,2),(3,3),(1,3),(3,1)}. Then

Let A = {1,2,3,4} and R be a relation in A given by R = {(1,1) (2,2) (3,3) (4,4) (1,2) (2,1) (3,1) (1,3)} . Then R is

The relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)} on a set A={1, 2, 3} is

Let A ={1,2,3,4} and relation R on A be defined as follows: R = (1,2),(2,1),( 2,2),(2,3) ,(3,3) ,(4,1), (2,4),(4,2)} then which one of the following is correct ?

Let the relation R on set A = {1,2,3,4,5} be defined as follows: R={(1,2),(2,1),(2,2),(3,3),(4,1),(2,4),(4,2),(1,5),(5,1),(5,5)} Then state which one is true in each of the following two cases

When is a relation R on a set A not transitive ? Let A={1,2,3,4} and a relation R on A be given by R={(2,3),(2,2), (3,1), (3,2), (4,1)} Is R transitive on A?

The relation R {(1,1),(2,2),(4,4),(1,2),(1,3),(2,3)} on the set A = {1,2,3,4} is

The relation R = {(1,1) ,(2,2) ,(4,4),(1,2),(1,3),(2,3)} on the set A= {1,2,3,4} is -

Let R be the relation in the set {(1,2,3,4} given by R ={(1,2), (2,2), (1,1) (4,4),(1,3), (3,3), (3,2)}. Choose the correct answer.

When is a relation R on a set A not antisymmetric? Let A={1,2,3,4} and R be a relation on A defined by R={(1,1), (2,2), (3,4), (3,3),(2,1), (4,3)}. Is R antisymmetric on A?

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. The equation sinx(sinx+cosx)=k has real solutions where k is a real nu...

    Text Solution

    |

  2. The possible values of x, which satisfy the trigonometric equation tan...

    Text Solution

    |

  3. On set A=|1,2,3|, relations R and S are given by R=|(1,1),(2,2),(3,3...

    Text Solution

    |

  4. If one of the diameters of the curve x^(2)+y^(2)-4x-6y+9=0 is a chord ...

    Text Solution

    |

  5. Let A(-1,0) and B(2,0) be two points. A point M moves in the plane in ...

    Text Solution

    |

  6. If f(x)=int(-1)^(x)|t|dt, then for any xge0.f(x) is equal to

    Text Solution

    |

  7. Let for all xgt0, f(x)=lim(nrarroo)n(x^((l)/(n))-1), then

    Text Solution

    |

  8. Let l=int(0)^(100pi)sqrt((1-cos2x))dx, then

    Text Solution

    |

  9. The area of the figure bounded by the parabolas x=-2y^(2) and x=1-3y^(...

    Text Solution

    |

  10. Tangents are drawn to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 at the end...

    Text Solution

    |

  11. The value of K in order that f(x)=sinx-cosx-Kx+5 decreases for all pos...

    Text Solution

    |

  12. For any vector vecx. Then value of (vecx xx hati)^(2)+(vecx xx hatj)^(...

    Text Solution

    |

  13. If the sum of two unit vectors is a unit vector. Then the magnitude of...

    Text Solution

    |

  14. Let alpha and beta be the roots of x^(2)+x+1=0. If n be positive integ...

    Text Solution

    |

  15. For real x, the greatest value of (x^(2)+2x+4)/(2x^(2)+4x+9) is

    Text Solution

    |

  16. Let A=((1,1,1),(0,1,1),(0,0,1)). Then for positive integer n. A^(n) is

    Text Solution

    |

  17. Let a, b, c be such that b(a+c)ne0. If |(a,a+1,a-1),(-b,b+1,b-1),(c,...

    Text Solution

    |

  18. Let f: R rarr R be twice continuously differentiable. Let f(0)=f(1)=f'...

    Text Solution

    |

  19. If f(x)=x^(n), n being a non-negative integer, then the values of n fo...

    Text Solution

    |

  20. Let f be a non-constant continuous function for all xge0. Let f satisf...

    Text Solution

    |