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Mathematics

Types of Sets

In this Class 11 Mathematics topic from the chapter Sets, students learn how sets are classified and compared. The lesson introduces empty, singleton, finite, infinite, equal, equivalent, universal, and disjoint sets, along with subsets and proper subsets. Students practise identifying these types from set descriptions, roster and rule forms, and using symbols such as ∈, ⊆, and ⊂ correctly. The concepts build a foundation for Venn diagrams, set operations, and further work with relations and functions.

Easy · Level 1 · 1 questions

Practice questions

01If H = {12}, what is H called?

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Answer and explanation

Correct answer: A. Singleton set

A set is classified as a singleton set when it contains exactly one distinct element. In H = {12}, the braces indicate that 12 is an element of H, and there are no other elements listed. Therefore, the cardinality of H is |H| = 1, which satisfies the definition of a singleton set. It is not an empty set because an empty set contains no element and is written as ∅ or { }. It is not infinite because it has only one element. “Equal set” is not the appropriate classification here; equality describes a relationship between two sets that have exactly the same elements. Thus option A is correct.

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Types of Sets

Practice questions

01If H = {12}, what is H called?यदि H = {12} है, तो H को क्या कहा जाएगा?

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01If H = {12}, what is H called?