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Class 11

Transitive Relations(Class 11 Math) Definition, Properties, Solved Examples, FAQs

September 9, 2025February 8, 2025 by Neeraj Anand, Param Anand
Transitive relation is one of the necessary conditions for equivalence relation, as for any relation to be that needs to to transitive at first. In transitive relation, if element a is related to element b and element b is related to element c, then there must also be a relationship between element a and element c, following the same rule or relation. In other words, if a relates to b and b relates to c, then a must relate to c.

Transitive Relation is one of the necessary conditions for equivalence relation, as for any relation to be that needs to …

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Antisymmetric Relation(Class 11 Math)-Definition, Formula, Types, Solved Examples, FAQs

September 27, 2025February 8, 2025 by Neeraj Anand, Param Anand
Antisymmetric relation is a type of binary relation on a set where any two distinct elements related to each other in one direction cannot be related in the opposite direction. For example, consider the relation "less than or equal to" (≤) on the set of integers. This relation is antisymmetric because if a ≤ b and b ≤ a, then a must be equal to b. This article deals with antisymmetric relation including their definition, examples, as well as properties.

Antisymmetric Relation is a type of binary relation on a set where any two distinct elements related to each other …

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Symmetric Relations-Definition, Formula, Types, Solved Examples | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand
Symmetric relation is a type binary relation in discrete mathematics defined on sets. Which satisfies that if arb exists then bra also exists for all pairs of a, b that belong to set s. Which means that if (a, b) belongs to r then (b, a) also belongs to relation r.

Symmetric relation is a type binary relation in discrete Mathematics defined on sets. Which satisfies that if aRb exists then …

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Reflexive Relations-Definition, Formula, Types, Examples | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand
Reflexive relation is a mathematical or set-theoretical relation in which every element is related to itself, meaning that for every element 'x' in the set, the pair (x, x) is a part of the relation. Other than reflexive, there are many types of relations such as symmetric, transitive, identity, etc. In maths, relation is a subset of the cartesian product of a set with another set where some well-defined rule relates the elements of two sets with each other.

Reflexive Relation is a mathematical or set-theoretical relation in which every element is related to itself, meaning that for every …

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Relations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand
Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three are interlinked topics. Sets denote the collection of ordered elements whereas relations and functions define the operations performed on sets.

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three …

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Cartesian Product & Ordered Pairs of Sets-Properties, FAQs & Solved Problems | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand
Product mathematically signifies the result obtained when two or more values are multiplied together. For example, 45 is the product of 9 and 5. One must be familiar with the basic operations on sets like union and intersection, which are performed on 2 or more sets.

Product mathematically signifies the result obtained when two or more values are multiplied together. For example, 45 is the product …

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Cartesian Product & Ordered Pairs of Sets-Properties & Examples | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand
In set theory, the cartesian product of two sets is the product of two non-empty sets in an ordered way. The cartesian product comprises two words – cartesian and product. The word cartesian is named after the french mathematician and philosopher rené descartes (1596-1650). In this article, you will learn the definition of cartesian product and ordered pair with properties and examples.

In set theory, the cartesian product of two sets is the product of two non-empty sets in an ordered way. …

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JEE Study Material for Physics, Chemistry and Maths

September 23, 2025January 20, 2025 by Neeraj Anand, Param Anand
📚 cbse class 11 chemistry: structure of atom – complete syllabus overview

📚 CBSE Class 11 Chemistry: Structure of Atom – Complete Syllabus Overview Are you a Class 11 CBSE student aiming …

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JEE Main Frequently Asked Questions (FAQs) | All You Need To Know

September 9, 2025January 20, 2025 by Neeraj Anand, Param Anand
Understanding the jee main exam can be overwhelming, especially with numerous questions. Anand classes (a school of competitions) aims to ease your concerns by compiling a comprehensive set of jee main faqs. These faqs provide clarity on various aspects of the exam, including the application process, eligibility criteria, cutoffs, and more. This extensive resource serves as a valuable guide, helping students navigate the complexities of the jee main examination and ensuring thorough preparation for the upcoming test.

Understanding the JEE Main Exam can be overwhelming, especially with numerous questions. ANAND CLASSES (A School Of Competitions) aims to …

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Union of Sets | Formula, Examples & Venn Diagrams | Class 11 Math Notes Study Material Download Free PDF

January 18, 2025 by Neeraj Anand, Param Anand
Union of two sets means finding a set containing all the values in both sets. It is denoted using the symbol ‘∪’ and is read as the union.

Union of two sets means finding a set containing all the values in both sets. It is denoted using the …

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Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Miscellaneous Exercise Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

NCERT Solutions Probability Miscellaneous Exercise Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

NCERT Solutions Probability Exercise 13.3 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.3 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.2 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.2 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.1 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.1 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Chapter 11 Three Dimensional Geometry from Anand Classes. Clear, step-by-step maths notes in PDF format.

Three Dimensional Geometry NCERT Solutions Miscellaneous Exercise Chapter-11 Class 12 Math Notes PDF Free Download

Download free NCERT Solutions for Class 12 Chapter 11 Three Dimensional Geometry from Anand Classes. Clear, step-by-step maths notes in PDF format.

Three Dimensional Geometry NCERT Solutions Exercise 11.2 Chapter-11 Class 12 Math Notes PDF Free Download (Set-2)

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