Home
Class 12
MATHS
If A = {1, 2, 3} and B = {4, 5}, find Ax...

If A = {1, 2, 3} and B = {4, 5}, find `AxxB`, `BxxA` and show that `AxxBneBxxA`.

Text Solution

Verified by Experts

`AxxB={1,2,3}xx{4,5}={(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}`
and `BxxA={4,5}xx{1,2,3}={(4,1),(4,2),(4,3),(5,1),(5,2),(5,3)}`
It is clear that `AxxBneBxxA`
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

Similar Questions

Explore conceptually related problems

If A= {1, 2, 3} and B = {1, 2}, then find : AxxB .

If A= {1, 2, 3} and B = {1, 2}, then find : Is AxxB= B xx A ?

If A = { a, b,c}, B = {p,q}, find BxxA .

Let A = {1, 2, 3, 4,5,6} and B = {2,4,6, 8}. Find A xx B .

If A = { 1, 2}, B = {3, 4}, C = {4, 5}, find A xx (B uu C) .

Let A= {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find : A - B and B - A. Show that A- B ne B-A .

If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find A – B and B – A.

Let U = {1, 2, 3, 4, 5, 6}, A = (2, 3} and B = (3, 4, 5}. Find A’ , B’ , A’ nn B’, A uu B and hence show that (A uu B)' =A’ nn B' .

Let A= {1, 2, 3}, B= {3, 4} and C = {4, 5, 6}. Find : Axx (B uu C) .