Sets ML Aggarwal ISC Class-11 Maths Solutions Ch-1

Sets ML Aggarwal ISC Class-11 Maths Solutions Ch-1. Step by step Solutions of ML Aggarwal ISC Class-11 Mathematics with Exe 1.1,  Exe-1.2, Exe-1.3, Exe-1.4, Exe-1.5 and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

Sets ML Aggarwal ISC Class-11 Maths Solutions Ch-1

Sets ML Aggarwal ISC Class-11 Maths Solutions Ch-1

Board   ISC
Class  11
Subject Mathematics
Chapter-1 Set
Session  2024-25
Topics  Solutions of ML Aggarwal

What is Set ?

A set is a group or collection of objects or numbers, considered as an entity unto itself. Sets are usually symbolized by uppercase, italicized, boldface letters such as A, B, S, or Z. Each object or number in a set is called a member or element of the set.

  1. For any two sets P and Q,
  • (P ∪ Q)′ = P′ ∩ Q′
  • (P ∩ Q)′ = P′ ∪ Q′
  1. If P and Q are finite sets such that P ∩ Q = φ, then n (P ∪ Q) = n (P) + n (Q).
  2. If P ∩ Q ≠ φ, then

n (P ∪ Q) = n (P) + n (Q) – n (P ∩ Q)

  1. n (P ∪ Q ∪ R) = n(P) + n(Q) + n(R) – n(P ∩ Q) – n(P ∩ Q) – n(P ∩ Q ) + n(P ∩ Q ∩ R)
  2. If P is a subset of set U (Universal Set), then its complement (P′) is also a subset of Universal Set (U).

Some Properties of Operation of Intersection

  • P ∩ Q = Q ∩ P (Commutative law).
  • (P ∩ Q) ∩ R = P ∩ (Q ∩ R) (Associative law).
  • φ ∩ P = φ, U ∩ P = P.
  • P ∩ P = P (Idempotent law).
  • P ∩ (Q ∪ R) = (P ∩ Q) ∪ (P ∩ Q) (Distributive law).

Some Properties of the Operation of Union

  • P ∪ Q = Q ∪ P (Commutative law).
  • (P ∪ Q) ∪ R = P ∪ ( Q ∪ R) (Associative law).
  • P ∪ φ = P (Law of the identity element).
  • U ∪ P = U (Law of U).

Exe-1.1

Sets ML Aggarwal ISC Class-11 Maths Solutions Ch-1


 


 Exe-1.2,

Ch-1 Set for ISC Class-11 Maths Solutions Ch-1


 


 Exe-1.3,

 ISC Class-11 Maths Solutions Ch-1


 Exe-1.4,

Ch-1 Sets ML Aggarwal for ISC Class-11 Maths Solutions


 


 

 Exe-1.5,

 ML Aggarwal ISC Class-11 Maths Solutions Ch-1


 Chapter Test

Sets ISC Class-11 Maths Solutions Ch-1

 -: End of Sets ML Aggarwal ISC Class-11 Maths Solutions Ch-1 :-

Return to :-  ML Aggrawal ISC Class-11 Understanding Maths Solutions

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