Home
Class 12
MATHS
Consider a binary operation ** on the se...

Consider a binary operation `**` on the set `{1,2,3,4,5}` defined by
`a**b=`H.C.F of `a` and `b` .
(i) Compute `(2 **3) **4 and 2 ** (3**4)`
(ii) Is `**` commutative ?
(iii) Compute `(2 **3) ** (4 **5).`

Text Solution

Verified by Experts

The correct Answer is:
(i) ` (2 **3) ** 4=1 and 2 ** (3 ** 4) =1 ` (ii) Yes (iii) 1
Promotional Banner

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

The number of binary operations on the set {1,2,3} is

Consider a binary operation ** on the set {1,2,3,4,5} given by the following multiplication table. (i) Compute (2 "*"3) "*" 4 and 2"*" (3"*" 4) (ii) Is ** commutative ? (iii) Compute (2"*"3)"*"(4"*"5) (Hint: use the following table )

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

Let ** be the binary operation on the set {1,2,3,4,5} defined a"*" b = H.C.F of a and b Is the operation ** same as the operation ** defined in Exercise 4 above ? Justify your answer .

** is a binary operation on the set Q. a"*"b = (2a+b)/4 then find 2"*"3 .

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

** is a binary operation on the set Q. a"*"b=(a)/2+b/(3) then find 1/(2) "*" 4/(5) .

** be a binary operation on a set {0,1,2,3,4} defined by a**b={(a+b," if " a+blt6),(a+b-6," if " a + b ge6):} Then find identity element of ** .