Home
Class 12
MATHS
Consider the binary opertion ^^ on the s...

Consider the binary opertion `^^` on the set `{1,2,3,4,5}` defined by `a ^^ b =` min `{a,b}.` Write the opertion table of the opertion `^^.`

Text Solution

Verified by Experts

The correct Answer is:
`(##NCERT_BEN_MAT_XII_P1_C01_E04_003_A01##)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

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

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 1.3|14 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise Miscellaneous Exercise on chapter 10|19 Videos

Similar Questions

Explore conceptually related problems

A binary operaiton ^^ on the set A={1,2,3,4,5} is defined by a^^b=min(a,b) for all a,binA. prepare composition table for the operation ^^ on A.

Number of binary opertions on the set {a,b} are

The binary operation ** on the set A={1,2,3,4,5} is defined by a**b= maximum of a and b. Construct the composition table of the binary operation ** on A.

Let be binary operation on the set R defined by a*b = a+b+ab, a, binR . solve equation :2*(2*x)=7

Consider a binary opertion ** on the set {1,2,3,4,5} given by the following multiplication table (Table 1.2) (i) Compute (2 **3) **4 and 2 ** (3**4) (ii) Is ** commutative ? (iii) Compute (2 **3) ** (4 **5).

Is ** defined on the set {1,2,3,4,5} by a ** b =L.C.M. of a and b a binary opertion ? Justified your answer.

If ** be the binary operation on the set ZZ of all integers, defined by a**b=a+3b^(2) , find 2**4.

Let * be a binary operations on Z and is defined by , a * b = a + b + 1, a, bin Z . Find the identity element.

If the binary operation ** on the set ZZ is defined by a**b=a+b-5 , then the identity element with respect to ** is K . Find the value of K .

Show that the relation R on the set A={1,2,3,4,5} given by R={(a,b):|a-b| is even} is an equivalence relation.