Question

Tamil
लता मंगेशकर टू अनु पुली वन में ​

Answer 1

Answer:

Yeah i am tamil bit that think you wrote is hindi

Answer 2

Step-by-step explanation:

If A = {1, 3, 5} and B = {2, 3} then

(i) find A × B and B × A.

(ii) Is A × B = B × A? If not why ?

(iii) Show that n(A × B) = n(B × A) = n(A) × n(B).

Solution :

Given that A = {1, 3, 5} and B = {2, 3}

(i) A × B = {1, 3, 5} × {2, 3}

= {(1, 2), (1, 3), (3, 2), (3, 3), (5, 2), (5, 3)}

B × A = {2, 3} × {1, 3, 5}

= {(2, 1), (2, 3), (2, 5), (3, 1), (3, 3), (3, 5)} .

(ii) From (1) and (2) we conclude that

A × B ≠ B × A as (1, 2) ≠ (2, 1)

and (1, 3) ≠) (3, 1), etc.

(iii) n(A) = 3; n(B) = 2.

From (1) and (2) we observe that,

n(A × B) = n(B × A) = 6;

we see that, n(A) × n(B) = 3 × 2 = 6 and

n(B) × n(A) = 2 × 3 = 6Hence,

n(A × B) = n(B × A) = n(A) × n(B) = 6.

Thus, n(A × B) = n(B × A) = n(A) × n(B).

10th Maths Example 1.2 solutions

If A × B = {(3, 2), (3, 4), (5, 2), (5, 4)} then find A and B.

Solution :

A × B = {(3, 2), (3, 4), (5, 2), (5, 4)}

We have

A = {set of all first coordinates of elements of A × B}. Therefore A = {3, 5}

B = {set of all second coordinates of ele-ments of A × B}. ThereforeB = {2, 4}