8. If A= {2, 4} and B = {4, 2}, Can we write A×B = A2 and B×A= B2 ? - Advance Math Class 10 - Exercise: 1.2

byAmlesh Mahato •March 24, 2022

Solution:

Given, A= {2, 4} and B = {4, 2}

⇒Now,

⇒A×B = {2, 4} × {4, 2}

= {(2, 4), (2, 2), (4, 4), (4, 2)}

⇒ $8. If A= {2, 4} and B = {4, 2}, Can we write A×B = A2 and B×A= B2 ? - Advance Math Class 10 - Exercise: 1.2$ = {2, 4} × {2, 4}

= {(2, 2), (2, 4), (4, 2), (4, 4)}

⇒ And,

⇒ B×A = {4, 2} × {2, 4}

= {(4, 2), (4, 4), (2, 2), (2, 4)}

⇒ $8. If A= {2, 4} and B = {4, 2}, Can we write A×B = A2 and B×A= B2 ? - Advance Math Class 10 - Exercise: 1.2$ = {4, 2} × {4, 2}B

= {(4, 4), (4, 2), (2, 4), (2, 2)}

Therefore, A×B = $8. If A= {2, 4} and B = {4, 2}, Can we write A×B = A2 and B×A= B2 ? - Advance Math Class 10 - Exercise: 1.2$ and B×A= $8. If A= {2, 4} and B = {4, 2}, Can we write A×B = A2 and B×A= B2 ? - Advance Math Class 10 - Exercise: 1.2$

Exercise: 1.2

1. If A = {1, 3, 5} and B= {2, 4, -1} then find A×B and B×A . Find the number of elements in A×B and B×A.

2. (a) If A = {-1, 3, 6} and B= {-3, 5} then find A×B and B×A. Also draw the graph of the Cartesian products.

(b) If A= {2, 4}, B= {-1, 3, 7}, C={1, 0} then with the help of tree diagram find A×B, B×A and A×B×C.

3. If A= {x, y, u, v} and B= {a, b, l, m} then find A×B and represent the Cartesian product by a coordination diagram.

4. If A= {3, 5}, B= {1, 2, 4}, C= {3, 4, 6} then show that

(i) A×(BUC) = (A×B) U (A×C)

(ii) A×(BꓵC) = (A×B) ꓵ (A×C)

5. For the set A= {x:x Є I and -2 < x < 4} and B= {y:y is a root of y2 – 9=0} draw the graph of A×B and find n(A×B)

6. Draw the graphs of A×B and B×A on two separate coordinate planes for the set A={-3, 0, 3} and B= {-1, 1}

7. (i) If A=ф and B={-1, 1} then determine the power set of A×B, B×A and B2

(ii ) If A= {0} and B= {1} then determine the A×B and B×A. Also determine P(A×B) and P(B×A)