Home
Class 12
MATHS
State whether the following statement is...

State whether the following statement is true or false. Justify: If `∗` is a commutative binary operation on N, then`a*(b*c) = (c*b)*a`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PSEB|Exercise Exercise|118 Videos

  • PROBABILITY

    PSEB|Exercise Exercise|140 Videos

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

State whether the following statements are true or false. Justify. If * is a commutative binary operation on N, then a*(b*c) = (c*b)*a

State whether the following statements are true or false. Justify . If '*' is a commutative binary operation on N, then a*(b*c)=(c*b) *a

Examine whether the following statement is true or false: { a } in { a, b, c }

Examine whether the following statement is true or false: { a } sub { a, b. c }

State whether the following statement is true or false. Justify:For an arbitrary binary operation * on a set N , a * a = a , for all a in N

State whether the following statements are true or false. Justify your answer. : Some polygons are pentagons.

State whether the following statements are true or false. Justify . For an arbitrary binary operation * on a set N A*a = a, AA a in N .

PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Let A = N xx N and ∗ be the binary operation on A defined by (a, b) *...

    Text Solution

    |

  2. State whether the following statement is true or false. Justify:For an...

    Text Solution

    |

  3. State whether the following statement is true or false. Justify: If ∗...

    Text Solution

    |

  4. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

    Text Solution

    |

  5. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

    Text Solution

    |

  6. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

    Text Solution

    |

  7. Let f : RrarrR , be defined as f(x) = 10x + 7. Find the function g : ...

    Text Solution

    |

  8. Let f : WrarrW, be defined as f (n) = n – 1, if n is odd and f (n) = ...

    Text Solution

    |

  9. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

    Text Solution

    |

  10. Show that the function f : Rrarr {x in R : – 1 < x < 1} defined by f(x...

    Text Solution

    |

  11. Show that the function f : R rarr R given by f (x) = x^3 is injective...

    Text Solution

    |

  12. Give examples of two functions f : NrarrZ and g : ZrarrZ such that g ...

    Text Solution

    |

  13. Give examples of two functions f : NrarrN and g : NrarrN such that g o...

    Text Solution

    |

  14. Given a non empty set X, consider P(X) which is the set of all subsets...

    Text Solution

    |

  15. Find the number of all one-one functions from set A = {1, 2, 3} to its...

    Text Solution

    |

  16. Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...

    Text Solution

    |

  17. Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...

    Text Solution

    |

  18. Consider the binary operations * : RxxRrarrR and o : RxxRrarrR define...

    Text Solution

    |

  19. Given a non-empty set X, let * : P(X)xxP(X)rarrP(X), be defined as A *...

    Text Solution

    |

  20. Define a binary operation * on the set {0, 1, 2, 3, 4, 5} as a*b = { a...

    Text Solution

    |