Home
Class 12
MATHS
Check whether relation R = {(x, y): x le...

Check whether relation `R = {(x, y): x le y^2, x, y in R}`, defined on set of real numbers R, is reflexive, symmetric and transitive.

Promotional Banner

Topper's Solved these Questions

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C (MCQ)|20 Videos
  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos
  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

Similar Questions

Explore conceptually related problems

Check whether the relation-R defined in the set of all real numbers as R={(a,b): a le b^(3)} is reflexive, symmetric or transitive.

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

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

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

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

Show that the relation R in the set R given by : R ={(x, y): x le y^2) is neither reflexive nor symmetric nor transitive.

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

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

OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-C
  1. Evaluate underset(0)overset(2)int(x^(2)+3)dx as limit of a sum.

    Text Solution

    |

  2. Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...

    Text Solution

    |

  3. Find the particular solution of differential equations : [x sin^2(y/x)...

    Text Solution

    |

  4. If f (x) = (3 -x^3)1/3, then find fof(x). Also, find f^-1.

    Text Solution

    |

  5. Check whether relation R = {(x, y): x le y^2, x, y in R}, defined on s...

    Text Solution

    |

  6. For any two vectors vecaandvecb, prove that |veca+vecb|le|veca|+|vecb|...

    Text Solution

    |

  7. If y=("cos"x)^(x)+(x)^("cos"x) then find (dy)/(dx).

    Text Solution

    |

  8. Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...

    Text Solution

    |

  9. Bag I contains 5 red and 3 black balls and bag 11 contains 6 red and 5...

    Text Solution

    |

  10. Prove that : sin^-1 (3/5) + cos^-1 (5/sqrt26) =tan^-1 (19/17)

    Text Solution

    |

  11. If area of /\ABC is 12 square units and vertices are A (x, 2), B (4, -...

    Text Solution

    |

  12. Find the equation of tangent to the curve y=3x^2-2x + 5 which is paral...

    Text Solution

    |

  13. Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)

    Text Solution

    |

  14. Find the shortest distance between the lies : vec(r(1))=hati+2hatj-3...

    Text Solution

    |

  15. Maximise z = 22x+44y subject to the constraints x+y ge 3 , 3x + 8y l...

    Text Solution

    |

  16. Maximise and Minimise z = 3x + 2y - 3 subject to the constraints: ...

    Text Solution

    |

  17. Solve the following system of linear equations by matrix method : 4x +...

    Text Solution

    |

  18. Using elementary transformations, find the inverse of matrix {:[(4,3...

    Text Solution

    |

  19. An open box is to be made of a square sheet of tin with side 20 cm, by...

    Text Solution

    |

  20. Find the height of right circular cylinder of maximum volume that can ...

    Text Solution

    |