Home
Class 12
MATHS
The relation R in the set {1,2,3} given ...

The relation R in the set `{1,2,3}` given by R = `{(1,2), (2,1),(1,1)}` is
A) symmetric and transitive, but not reflexive
B) reflexive and symmetric, but not transitive
C) symmetric, but neither reflexive nor transitive
D) an equivalence relation

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

Similar Questions

Explore conceptually related problems

Give an example of a relation which is symmetric but neither reflexive nor transitive.

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.

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.

Give an example of a relation which is reflexive and symmetric but not transitive.

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.

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.

Every relation which is symmetric and transitive is also reflexive.

Let A={1, 2, 3) be a given set. Define a relation on A swhich is (i) reflexive and transitive but not symmetric on A (ii) reflexive and symmeetric but not transitive on A (iii) transitive and symmetric but not reflexive on A (iv) reflexive but neither symmetric nor transitive on A (v) symmetric but neither reflexive nor transitive on A (vi) transitive but neither reflexive nor symmetric on A (vii) neither reflexive nor symmetric and transitive on A (vii) an equivalence relation on A (ix) neither symmetric nor anti symmmetric on A (x) symmetric but not anti symmetric on A

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Differentiate sec^2 (x^2) with respect to x^2

    Text Solution

    |

  2. Find the general solution of the differential equation e^(y-x) dy/dx ...

    Text Solution

    |

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

    Text Solution

    |

  4. If the radius of circle is increasing at the rate of 0.5 cm/s, then th...

    Text Solution

    |

  5. The function f : R rarr R given by f(x) = - |x-1| is (a) continuous...

    Text Solution

    |

  6. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

    Text Solution

    |

  7. Find a vector vecr equally inclined to the three axes and whose magnit...

    Text Solution

    |

  8. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

    Text Solution

    |

  9. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

    Text Solution

    |

  10. The coordinates of the foot of the perpendicular drawn from the point ...

    Text Solution

    |

  11. Let A = { 1,3,5 } . then the number of equivalence relations in A cont...

    Text Solution

    |

  12. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

    Text Solution

    |

  13. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

    Text Solution

    |

  14. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...

    Text Solution

    |

  15. The range of the principal value branch of the function y= sec^(-1)x i...

    Text Solution

    |

  16. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

    Text Solution

    |

  17. If |vec(a)| = 4 and -3 le lamda le 2,then Ilambda vecaI lies in (A)...

    Text Solution

    |

  18. The principle value of cos^(-1)(-1/2) is ......

    Text Solution

    |

  19. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

    Text Solution

    |

  20. A purse contains 3 silver and 6 copper coins a second purse contains 4...

    Text Solution

    |