Home
Class 12
MATHS
Show that - a is not the inverse of a in...

Show that `- a` is not the inverse of `a in N` for the addition operation '+' on `N` and `1/a` is not the inverse of `a in N` for multiplication operation 'X' on `N` for `a ne1`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|132 Videos

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Show that x^n-1 is divisible by x-1

Show that subtraction and division are not binary operations on N.

Find the inverse of each of the matrices using elementary operations [[1 , 3],[ 2, 7]]

Let* be the binary operation on N given by a*b=LCM of a and b.Which element of N are invertible for the operation*?

Let* be the binary operation on N given by a*b=LCM of a and b.Find the identity of * in N

Show that 9^(n+1)-8n-9 is divisible by 64.

Let ** ' be the binary operation on N given by a**'b = L.c.m. of a and b. Which elements of N are invertible for the operation ** ?

Let ** ' be the binary operation on N given by a**'b = L.c.m. of a and b. Find the identify of ** in N

Given P=[[2,-3],[-1,2]] . Find the inverse of P by elementary row operation.

Show that addition and multiplication are associativé binary operation on R . But subtraction is not associative on R . Division is not associative on R .

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Show that * :R xx R rarr R given by a* b= a+2 b is not associative.

    Text Solution

    |

  2. Show that zero is the identity for addition on R and 1 is the identity...

    Text Solution

    |

  3. Show that - a is not the inverse of a in N for the addition operation ...

    Text Solution

    |

  4. Determine whether or not each of the definitions of ** given below giv...

    Text Solution

    |

  5. For each binary operation ** defined below, determine whether ** is co...

    Text Solution

    |

  6. Consider the binary operation on a set {1,2,3,4,5}. defined by a ^^ b=...

    Text Solution

    |

  7. Consider the binary operation ** on the set A= {1,2,3,4,5} given by th...

    Text Solution

    |

  8. Let **' be the binary operation on N given by a**'b= L.c.m. of a and b...

    Text Solution

    |

  9. Consider an operation ** defined on the set A={1,2,4,8} by a**b=LCM ...

    Text Solution

    |

  10. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

    Text Solution

    |

  11. Let ** be a binary operation on the set Q of rational numbers as follo...

    Text Solution

    |

  12. Let A=NtimesN and ast be a binary operation on A defined by (a,b)...

    Text Solution

    |

  13. State whether the following statements are true or false. Justify For...

    Text Solution

    |

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

    Text Solution

    |

  15. If R1 and R2 are equivalence relations in a set A, show that R1 nn R2 ...

    Text Solution

    |

  16. Let X={1,2,3,4,5,6,7,8,9}. Let R1 be a relation in X given by R1={(x, ...

    Text Solution

    |

  17. Let f: X rarr Y, be a function. Define a relation R in X given by: R={...

    Text Solution

    |

  18. Determine which of the following binary operation on the set R are ass...

    Text Solution

    |

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

    Text Solution

    |

  20. Consider the identity function, IN: N rarr N defined as In(x)=x forall...

    Text Solution

    |