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

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`

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 . For an arbitrary binary operation * on a set N A*a = a, AA a in N .

State whether the following statement is true or false : Rubber is a magnetic material.

State whether the following statements are true or false: Polyester is a natural fibre.

State whether the following statements are true or false. Equation is also an identity.

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

State whether the following statements are true or false: Yarn is made from fibres.

State whether the following statement is true or false, and justify your answers. Not all integers are rational.

State whether the statement is true or false- Alanko is a metal.

PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Let ∗ be a binary operation on the set Q of rational numbers as follow...

    Text Solution

    |

  2. Let A = N xx N and ∗ be the binary operation on A defined by (a, b) *...

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |