Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y and z are distinct elements

Solution:

It is given that n (A) = 3 and n (B) = 2 .

If (x, 1), (y, 2), (z, 1) are in A x B.

We know that

A = Set of first elements of the ordered pair elements of A x B.

B = Set of second elements of the ordered pair elements of A x B.

Therefore, x, y, and z are the elements of A;

1 and 2 are the elements of B.

Since n (A) = 3 and n (B) = 2,

It is clear that A = {x, y, z} and B = {1, 2}

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.1 Question 9

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y and z are distinct elements

Summary:

A and B be two sets such that n (A) = 3 and n (B) = 2 is given and (x, 1), (y, 2), (z, 1) are in A × B. We have found that A = {x, y, z} and B = {1, 2}