Home
Class 12
MATHS
Relation R in the set {1,2,3,4} given by...

Relation R in the set {1,2,3,4} given by `R={(1,1)(2,2),(1,2),(2,3),(3,3),(4,4)} `is

A

Reflexive

B

Symmetric

C

Transitive

D

Equivalence Relation

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BOARD PAPER SOLUTIONS

    XII BOARDS PREVIOUS YEAR|Exercise All Questions|957 Videos
  • CUET MOCK TEST SET 1

    XII BOARDS PREVIOUS YEAR|Exercise PART – B (SECTION – III MATHEMATICS )|25 Videos

Similar Questions

Explore conceptually related problems

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

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

LetR be the relation on the seM = {1, 2, 3, 4} given by R = {(1,2), (2,2), (1,1), (4,4), (1,3), (3, 3), (3,2)}. Then

The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

The relation in the set A = {1, 2, 3} given by R = {(2,3),(3,2),(1,1)} is:

If R is a relation on the set A={1,\ 2,\ 3} given by R=(1,\ 1),\ (2,\ 2),\ (3,\ 3) , then R is (a) reflexive (b) symmetric (c) transitive (d) all the three options

Let P={1, 2, 3} and a relation on set P is given by the set R={(1,2),(1,3),(2,1),(1,1),(2,2),(3,3),(2,3)}. Then R is:

XII BOARDS PREVIOUS YEAR-CUET MOCK TEST 2022-Question
  1. Relation R in the set {1,2,3,4} given by R={(1,1)(2,2),(1,2),(2,3),(3,...

    Text Solution

    |

  2. Let R be the relation in the set N given by R={(a,b),b=a+3,bgt4}. Whic...

    Text Solution

    |

  3. The function: R rarr R , defined as f(x)={{:(1,"if" x gt 0),(1,"if" x ...

    Text Solution

    |

  4. If f: R rarr R is given by f(x) = (3-x^(3))^(1//3) then f@f (x) is

    Text Solution

    |

  5. Domain and Range of cot^(-1) x is

    Text Solution

    |

  6. tan^(-1)sqrt3-cot^(-1)(-sqrt3) is equal to

    Text Solution

    |

  7. A system of Linear equations represented in matrix form AX=0, A is ma...

    Text Solution

    |

  8. If=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] thhen A'A is

    Text Solution

    |

  9. Which one of the following is incorrect.

    Text Solution

    |

  10. The inverse of matrices A. Where A =|(2,5),(1,3)| is

    Text Solution

    |

  11. If A is a square matrix such that A^2 = A, then (I + A)^3 – l is equal...

    Text Solution

    |

  12. Statement I: If any two rows(or columns) of a determinant are identica...

    Text Solution

    |

  13. Let A be a square matrix of order n xxn, then |kA| is equal to

    Text Solution

    |

  14. For what value of k,Points (1,3),(3,9) and (0,k) are collinear

    Text Solution

    |

  15. Statement I: A square matrix A is invertible if and only if A is a non...

    Text Solution

    |

  16. For what value ofk, the system of linear equations 3x-y-2z=2, 2y-kz=1,...

    Text Solution

    |

  17. If A=[(1,3,3),(1,4,3),(1,3,4)] then adj(A) is

    Text Solution

    |

  18. The function f(x) = [x], where [x] = greatest integer of

    Text Solution

    |

  19. The value of integral int(-1)^(1)|x|dx is

    Text Solution

    |

  20. If int((1+logx)^2)/(x)dx =F(x)+C , where C is arbitrary constant, the...

    Text Solution

    |