Home
Class 12
MATHS
The binary operation ** defined on a set...

The binary operation `**` defined on a set s is said to be commutative if

A

`a**b in S AA a, b in S`

B

`a ** b =b ** a AA a, b in S`

C

`(a ** b) ** c =a ** (b ** c) AA a, b in S`

D

`a ** b = e AA a, b in S`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DISCRETE MATHEMATICS

    SURA PUBLICATION|Exercise FILL IN THE BLANKS|10 Videos

  • DISCRETE MATHEMATICS

    SURA PUBLICATION|Exercise CHOOSE THE INCORRECT STATEMENT:|5 Videos

  • DISCRETE MATHEMATICS

    SURA PUBLICATION|Exercise GOVERNMENT EXAM QUESTIONS|2 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    SURA PUBLICATION|Exercise 5 MARKS|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos

Similar Questions

Explore conceptually related problems

Consider the binary operation "*" defined on the set A = {a,b,c,d} by the following table. {:("*",a,b,c,d),(a,a,c,b,d),(b,d,a,b,c),(c,c,d,a,a),(d,d,b,a,c):} It is commutative and associative ?

Consider the binary operation ** defined on the set A={a,b,c,d} by the following table: Is it commutative and associative?

Knowledge Check

  • - is a binary operation on

    A
    ~
    B
    Q-{0}
    C
    R-{0}
    D
    Z

  • A binary operation on a set S is a function from

    A
    `S to S`
    B
    `(S xx S) to S`
    C
    `S to (S xx S)`
    D
    `(S xx S) to (S xx S)`

  • A binary operation on a set Sis a function from

    A
    `S xxS`
    B
    `(SxxS)toS`
    C
    `S to (Sxx S)`
    D
    `(S xxS)to(SxxS)`

    • Similar Questions

    Explore conceptually related problems

    Consider the binary operation * defined on the set A= {a,b,c,d} by the following table.

    Let ** be the binary opertion on N defined by a **b=H.C.F. of a and b. Is ** commutative ? Is ** associative ? Does there exist identity for this binary opertion on N ?

    A binary operation ** is defined on the set of positive rational number Q^(+) by a ** b =(ab)/4 . Then 3 ** (1/5 ** 1/2) is

    + is not a binary operation on

    The number of commutative binary operations which can be defined on a set containing n elements is

    Home
    Profile