Class 11th Maths – RD Sharma Chapter 2 : Relation Exercise 2.2 Solutions

1. Given A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, find (A×B)∩(B×C). Watch Solution
2. If A = {2, 3}, B = {4, 5}, C = {5, 6}, find A×(B ∪C)), A×(B∩C), (A×B)∪(A×C). Watch Solution
3. If A = {1, 2, 3}, B = {4}, C = {5}, then verify that : A×(B∪C) = (A×B)∪(A×C) Watch Solution
4. If A = {1, 2, 3}, B = {4}, C = {5}, then verify that : A×(B∩C) = (A×B)∩(A×C) Watch Solution
5. If A = {1, 2, 3}, B = {4}, C = {5}, then verify that : A×(B – C) = (A×B) – (A×C) Watch Solution
6. Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}, Verify that : A×C ⊂ B×D Watch Solution
7. Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}, Verify that : A×(B∩C) = (A×B)∩(A×C) Watch Solution
8. If A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, find A×(B∩C) Watch Solution
9. If A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, find (A×B)∩(A×C) Watch Solution
10. If A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, find A×(B∪C) Watch Solution
11. If A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, find (A×B)∪(A×C) Watch Solution
12. Prove that : (A∪B)×C = (A×C)∪(B×C) Watch Solution
13. Prove that : (A∩B)×C = (A×C)∩(B×C) Watch Solution
14. If A×B ⊆ C×D and A×B = Φ, prove that A ⊆ C and B ⊆ D. Watch Solution