1. Chapter 1 Class 11 Sets
  2. Serial order wise
  3. Miscellaneous
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Question 1 - Miscellaneous - Chapter 1 Class 11 Sets

Last updated at Dec. 13, 2024 by Teachoo

Transcript

Question 1 Assume that P (A) = P (B). Show that A = B. In order to prove A = B, we should prove A is a subset of B i.e. A ⊂ B & B is a subset of A i.e. B ⊂ A Set A is an element of power set of A as every set is a subset (Eg: for set A = {0, 1} , P(A) = { ∅ , {0}, {1}, {0, 1} } So, A is in P(A)) i.e. A ∈ P(A) ⇒ A ∈ P(B) If set A is in power set of B, set A is a subset of B ∴ A ⊂ B ⊂ Subset A ⊂ B (All elements of set A in set B) Similarly, We can prove B ⊂ A Now since A ⊂ B & B ⊂ A ∴ A = B Hence proved
  1. Chapter 1 Class 11 Sets
  2. Serial order wise

    3. Miscellaneous

    Number of elements in Set Formula →
Number of elements in Set Formula →
Chapter 1 Class 11 Sets
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo