Class 11 Maths Chapter 1 Sets – Exercise 1.6 NCERT Solutions Introduction Exercise 1.6 focuses on algebra of sets. Students learn how to apply set identities such as distributive laws, De Morgan’s laws, and verify relations using Venn diagrams. This exercise strengthens logical reasoning and prepares students for probability and relations. Key Concepts Distributive Laws: A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C ) A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C ) De Morgan’s Laws: ( A ∪ B ) ′ = A ′ ∩ B ′ ( A ∩ B ) ′ = A ′ ∪ B ′ Idempotent Laws: A ∪ A = A , A ∩ A = A Complement Laws: A ∪ A ′ = U , A ∩ A ′ = ∅ Common Mistakes Forgetting to apply distributive property correctly. Misinterpreting complement relative to universal set. Confusing union with intersection in De Morgan’s laws. Ignoring boundary cases like empty set or universal set. NCERT Questions with Step‑by‑Step Solutions (10) Q1. Verify: A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C ) . Using distributive law, both sides are equal. Verified. Q2. Ver...