Home
Class 12
MATHS
Determine whether or not each of the def...

Determine whether or not each of the definition of given below gives a binary operation. In the event that * is not a binary operation, give justification for this. (i) `O n Z^+, d efin e *b ya*b = a - b`(ii) `O n Z^+,

Text Solution

Verified by Experts

The correct Answer is:
(i) NO (ii) Yes (iii) es (iv) Yes (v) Yes
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.3|14 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 Videos

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise Miscellaneous Exercise on chapter 10|18 Videos

Similar Questions

Explore conceptually related problems

Determine whether or not each of the definition of ** given below gives a binary operation. In the even that ** is not a binary operation , give justification for this . On Z^(+) , define ** by a" * " b = a - b

Determine whether or not each of the definition of ** given below gives a binary operation. In the even that ** is not a binary operation , give justification for this . On Z^(+) , define ** by a" * " b = ab

Determine whether or not each of the definition of ** given below gives a binary operation. In the even that ** is not a binary operation , give justification for this . On Z^(+) , define ** by a" * " b = a

Determine whether or not each of the definition of ** given below gives a binary operation. In the even that ** is not a binary operation , give justification for this . On R , define ** by a" * " b = ab^2

Determine whether or not each of the definition of ** given below gives a binary operation. In the even that ** is not a binary operation , give justification for this . On Z^(+) , define ** by a" * " b = |a-b|

For each operation ** defined below, determine , whether ** is binary , commutative or associative. On Z , define a "*" b = a - b

For each operation ** defined below, determine , whether ** is binary , commutative or associative. On Z^(+) , define a "*" b =ab

Determine which of the following binary operations on the set R are associative and which are commutative : a^(**) b = 1, AA a, b in R

Determine which of the following binary operations on the set R are associative and which are commutative : a^(**)b=((a+b))/2,AAa,binR

Let ** be the binary operation on N given by a**b = L.C.M. of a and b. Find Is ** commutative ?

Home
Profile