Home
Class 12
MATHS
check whether the relation R in the set ...

check whether the relation R in the set N of natural numbers given by
R = { (a,b) : a is divisor of b }
is reflexive, symmetric or transitive. Also determine whether R is 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

Check whether the relationR in the set R of real numbers defined by : R={(a,b):1+abgt0} is reflexive, symmetric or transitive.

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.

Check whether the relation R in the set Z of integers defined as R={(a,b):a +b is divisible by 2} is reflexive, symmetric or transitive. Write the equivalence class containing 0 i.e. [0].

Show that the relation R in the set R of real numbers,defined as R={(a,b):a<=b^(2)} is neither reflexive nor symmetric nor transitive.

Show that the relations R on the set R of all real numbers,defined as R={(a,b):a<=b^(2)} is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set of real numbers,defined as R={a,b):a<=b^(2)} is neither reflexive,nor symmetric,nor transitive.

Determine whether Relation R on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6} defined as R={(x ,\ y): y is divisible by x} is reflexive, symmetric or transitive.

Relation R defines on the set of natural numbers N such that R={(a,b):a is divisible by b}, than show that R is reflexive and transitive but not symmetric.

Show that the relation R on the set Z of integers,given by R={(a,b):2 divides a-b}, is an equivalence relation.

Check whether the relation R in R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

    Text Solution

    |

  2. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

    Text Solution

    |

  3. check whether the relation R in the set N of natural numbers given by ...

    Text Solution

    |

  4. The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...

    Text Solution

    |

  5. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

    Text Solution

    |

  6. If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...

    Text Solution

    |

  7. Find the equation of the plane passing through the points (1,0,-2),(3,...

    Text Solution

    |

  8. Differentiate sec^2 (x^2) with respect to x^2

    Text Solution

    |

  9. If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. the function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) bo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. A card from a pack of 52 cards is lost. From the remaining cards of ...

    Text Solution

    |

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

    Text Solution

    |

  17. the coordinates of the foot of the perpendicular drawn from the point ...

    Text Solution

    |

  18. Using the method of integration find the area of the triangle ABC, co...

    Text Solution

    |

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

    Text Solution

    |

  20. the interval in which the function f given by f(x) = x^2 e^(-x) is str...

    Text Solution

    |