Home
Class 12
MATHS
An operation ** on Z^(**) (the set of al...

An operation `**` on `Z^(**)` (the set of all non-negative integers) is defined as `a**b = a-b, AA a, b epsilon Z^(+)`. Is `**` binary operation on `Z^(+)`?

Text Solution

Verified by Experts

The correct Answer is:
Hence `**` is not a binary operation.
Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAM QUESTION PAPER MARCH - 2016

    SUNSTAR PUBLICATION|Exercise PART - B (Answer any ten questions)|28 Videos
  • ANNUAL EXAM QUESTION PAPER MARCH - 2016

    SUNSTAR PUBLICATION|Exercise PART - C (Answer any ten questions)|28 Videos
  • ANNUAL EXAM QUESTION PAPER MARCH -2014

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

An operation * on z^(+) ( the set of all non-negative integers) is defined as a * b = |quad a -b|, AA q,b in z^(+) .Is * a binary operation on z^(+) ?

Define a binary operation on a set

On Z defined * by a ** b = a -b show that * is a binary operation of Z.

The number of non negative integral solutions of 3x+y+z=24 is

The operation * defined a**b = a . Is * a binary operation on z.

If A={a,b,c} , then the number of binary operations on A is

On the set Z , of all integers ** is defined by a^(**)b=a+b-5 . If 2^(**)(x^(**)3)=5 then x=

Show thaT the relation R in the set of all integers Z defined by R{(a,b) : 2 divides a-b} is an equivalence relation.