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Sets and Relations – Complete Chapter Summary, Formulas & Important Notes (Class 11 Mathematics)

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A comprehensive and well-structured study guide on Sets and Relations for Class 11 Mathematics. This document includes clear definitions of sets, representation methods, subset types, Venn diagrams, set operations (union, intersection, complement), Cartesian products of sets, and the definition and types of relations with solved examples. Perfect for Class 11 students preparing for school examinations and building a strong foundation for higher mathematics.

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Class 11 English


Chapter 1 — The Portrait of a Lady


By Khushwant Singh




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1. About the Chapter


The Portrait of a Lady is a beautiful story about the author's relationship with his
grandmother. The chapter describes her appearance, habits, religious nature, daily
routine, and the changing relationship between the author and his grandmother as he
grows older.




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2. Main Characters


Grandmother


The grandmother was an old, short, fat and slightly bent woman. She always wore
spotless white clothes and carried a rosary in her hand.


She was deeply religious and spent much of her time praying and reading scriptures.


The Author


The author was very close to his grandmother during his childhood. She looked after
him and accompanied him to school.

, As he grew older, their relationship gradually changed because of his education and
new lifestyle.




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3. Grandmother's Appearance


The author describes his grandmother as:


Old and wrinkled


Short and slightly bent


Always dressed in white


Having a peaceful and calm face


Always carrying a rosary


Constantly praying




Her face appeared so old that the author felt she had always been old.




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4. Grandmother and the Author in the Village


In the village, the grandmother and the author were very close.


She woke him up in the morning and helped him get ready for school.

Document information

School year
3
Uploaded on
August 19, 2026
Number of pages
8
Written in
2026/2027
Type
Class notes
Professor(s)
G
Contains
Class 11
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