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

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 `xx` on N, for `a!=1` .

Text Solution

Verified by Experts

The correct Answer is:
No
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise COMPETITION FILE (Questions from JEE Main)|7 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Revision Exercise|18 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Show that a is the inverse of a for the addition operation + on R and 1/a is the inverse of a!=0 for the multiplication operation xx on R.

For the binary operation xx10 on set S={1,3,7,9}, find the inverse of 3.

The sum of the additive inverse and multiplicative inverse of 2 is

The sum of the additive inverse and multiplicative inverse of 5 is

Find the sum of additive inverse and multiplicative inverse of 7.

Let * be the binary operation on N defined by a*b=HCF of a and b .Does there exist identity for this binary operation on N?

A solar cell is p-n junction operating in

Show that the number of binary operations on {1,2} having 1 as identity and having 2 as the inverse of 2 is exactly one.

Find the additive and multiplicative inverse of -4+5i.