Sets Class 11 Maths Notes – Formulas & Quick Revision

Sets Class 11 Maths ka pehla chapter hai — set operations, Venn diagrams aur cardinality ke formulas yahan hain. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.

Important Formulas & Concepts — Sets

• n(A∪B) = n(A) + n(B) − n(A∩B)
• n(A∪B∪C) = n(A)+n(B)+n(C) − n(A∩B) − n(B∩C) − n(A∩C) + n(A∩B∩C)
• Power set: n(P(A)) = 2ⁿ
• Number of subsets = 2ⁿ; proper subsets = 2ⁿ − 1
• De Morgan: (A∪B)′ = A′∩B′; (A∩B)′ = A′∪B′
• A − B = A ∩ B′
• Symmetric difference: AΔB = (A−B)∪(B−A)
• A∩(B∪C) = (A∩B)∪(A∩C) (distributive)

Quick Revision Points

• Venn diagram word problems (2-3 sets) boards ke favourite hain
• ∈ element ke liye, ⊂ set ke liye — confusion mat karo
• Empty set har set ka subset hai
• Union word problems mein “at least/only/exactly” dhyan se padho
• Interval notation: [a,b] closed, (a,b) open

FAQ

Sets se kya questions aate hain?

Venn diagram word problems aur subset counting — direct formula-based scoring.

Complete notes mein kya hai?

Operations ka visual Venn map, saare laws ek page par aur solved word problems.

Explore more: free sample notes, free calculators aur interactive simulators.