Home
Class 12
MATHS
Let ** be the binary opertion on N given...

Let `**` be the binary opertion on N given by `a **b=L.C.M.` of a and b. Find
(i) `5 **7, 20 **16`
(ii) Is `**` commutative ?
(iii) Is `**` associative ?
(iv) Find the identity of `**` ?
(v) Which elements of N are invertible for the opertion `**` ?

Text Solution

Verified by Experts

The correct Answer is:
(i) `5 **7 =35,20** 16 =80 ` (ii) Yes (iii) Yes (iv) 1 (v) 1
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|18 Videos
  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.3|14 Videos
  • PROBABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos
  • VECTOR ALGEBRA

    NCERT TELUGU|Exercise Miscellaneous Exercise on chapter 10|17 Videos

Similar Questions

Explore conceptually related problems

Find the number of functions from a set A with m elements to a set B with n elements.

Let A = N x N and (a,b)*(c,d) = (a+c, b+d) on A. Show that * is commutative and associative. Find the identity element if exists.

If a * b = H.C.F. of a and b on N. Verify binary opertion commutative, associative. Does there exists identity element.