Home
Class 12
MATHS
Check whether the relation R in R define...

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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Check whether the relation R defined on the set A={1,2,3,4,5,6} as R={(a,b):b=a+1} is reflexive, symmetric or transitive.

Show that the relation R in R defined as R={(a,b):ageb} is transitive.

Show that the relation R in R defined as R={(a,b):a<=b} is reflexive and transitive but not symmetric.

Check whether the relation R defined in the set quad {1,2,3,4,5,6} as R={(a,b):b=a+1} is reflexive,symmetric or transitive.

Show that the relation R on R defined as R={(a,b):a<=b} is reflexive and transitive but not symmetric.

Show that the relation R on R defined as R={(a,b):a<=b}, is reflexive and transitive but not symmetric.

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].

RESONANCE DPP-JEE MAINS-All Questions
  1. If f(x), g(x) be twice differentiable functions on [0,2] satisfying f'...

    Text Solution

    |

  2. ((x-5)^2(x+2)^3(x-4))/((x-3)^4)lt=0

    Text Solution

    |

  3. Check whether the relation R in R defined by R={(a ,""""b):""alt=b^3} ...

    Text Solution

    |

  4. The equation of the circle having the center on the line x+2y-3=0 ...

    Text Solution

    |

  5. Let z1, z2,z3 be three distinct complex numbers satisfying |z1- 1|=|z...

    Text Solution

    |

  6. The length of the chord cut off by y=2x+1 from the circle x^2+y...

    Text Solution

    |

  7. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

    Text Solution

    |

  8. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

    Text Solution

    |

  9. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

    Text Solution

    |

  10. The value of ' a ' for which the sum of the squares of the roots of th...

    Text Solution

    |

  11. (51 3)+(50 3)+(49 3)+(48 3)+(47 3)+(47 4) is equal to (where (n r) ...

    Text Solution

    |

  12. A die is thrown 500 times with frequency for outcomes 1, 2, 3,4, 5, 6 ...

    Text Solution

    |

  13. In a group of 60 persons, each takes at least one of coffee or tea. If...

    Text Solution

    |

  14. If a+b+c=2,a^2+b^2+c^2=1a n da b c=3t h e n1/a+1/b+1/c is equal to a. ...

    Text Solution

    |

  15. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

    Text Solution

    |

  16. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos...

    Text Solution

    |

  17. If alpha + beta = 90^@ and beta + gamma = alpha then tanalpha-tanbeta=...

    Text Solution

    |

  18. Let the solution of the equation 5^(1+(log)4x)+5^(-1-1(log)4x)=(26)/5 ...

    Text Solution

    |

  19. If a circle passes through the points of intersection of the coordinat...

    Text Solution

    |

  20. Show that the relation R defined in the set A of all triangles as R={...

    Text Solution

    |