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Relations and Functions Part 1 v2

Relations and Functions Class 12 (Part – 1)

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Empty Relations, Universal Relations, Trivial Relations, Reflexive Relations, Symmetric Relations, Transitive Relations, Equivalence Relations, Equivalence Classes, and Questions based on the above topics from NCERT Textbook, Board’s Question Bank, RD Sharma, NCERT Exemplar etc.

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Relations and Functions Class 11 Maths

Relations and Functions Class 11 Maths

Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Sum, difference, product and quotients of functions.

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Chapter 1 Sets Class 11 Maths

Sets Class 11 Maths

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Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.

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Principle of Mathematical Induction

Principle of Mathematical Induction Class 11 Maths

Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.The principle of mathematical induction and simple applications.

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Binomial Theorem Class 11 Maths

Binomial Theorem Class 11 Maths

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History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

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Permutations and Combinations Class 11 Maths

Permutations and Combinations Class 11 Maths

Fundamental theorem of counting, factorial, permutations and combinations. All the NCERT solutions from the Exercise 7.1, 7.2, 7.3, 7.4 and the miscellaneous exercise.

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