If A × B = {(a, x),(a , y), (b, x), (b, y)}. Find A and B

Solution:

It is given that A x B = {(a, x), (a, y), (b, x), (b, y)}

We know that the Cartesian product of two non-empty sets P and Q is defined as

P x Q = {(p, q) : p ∈ P, q ∈ Q}

Therefore, A is the set of all first elements and B is the set of all second elements.

Thus, A = {a, b} and B = {x, y}

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.1 Question 6

If A × B = {(a, x),(a , y), (b, x), (b, y)}. Find A and B

Summary:

A × B = {(a, x), (a, y ), (b, x), (b, y )} is given. We have found that A = {a, b} and B = {x, y}