This course is designed to help you gain a thorough understanding of fundamental mathematical concepts. Throughout your studies, you'll explore a wide range of topics, including Empty Relations, Universal Relations, Trivial Relations, Reflexive Relations, Symmetric Relations, Transitive Relations, Equivalence Relations, and Equivalence Classes. To deepen your understanding of these concepts and prepare yourself for related examinations, this course includes a series of practice assignments. These assignments feature carefully selected questions from a variety of authoritative sources, including NCERT Textbook exercises, NCERT Examples, Board's Question Bank, RD Sharma, NCERT Exemplar, and more. By engaging with these practice assignments, you'll develop a solid foundation in these essential mathematical concepts and be well-prepared to tackle any related challenges that come your way.

This comprehensive course is designed to help you master essential mathematical concepts. Throughout your studies, you'll explore a variety of topics, including One-to-One and Onto Functions, Composite Functions, and the Inverse of a Function. To deepen your understanding of these concepts and prepare for related examinations, this course includes a series of practice assignments. These assignments feature carefully selected questions from a range of authoritative sources, including NCERT Textbook exercises, NCERT Examples, Board's Question Bank, RD Sharma, NCERT Exemplar, and more. With the knowledge and skills you'll gain from this course, you'll be well-equipped to tackle any related mathematical challenges with confidence.

Part 2 of this course builds upon the basics learned in Part 1 and takes your understanding of inverse trigonometric functions to the next level. This course is recorded in Hindi for English medium syllabus of Class 12 Mathematics. Part 2 of this course covers advanced topics in inverse trigonometric functions such as proving identities and solving complex problems using Higher Order Thinking Skills. You will learn how to apply the concepts of inverse trigonometric functions to real-world scenarios and solve problems using techniques such as substitution, factorization, and squaring. With detailed solutions and explanations for each question, this course is perfect for students who want to excel in their Class 12 Mathematics exams or competitive exams like JEE Main, JEE Advanced, NEET, etc. By the end of this course, you will have a thorough understanding of inverse trigonometric functions and be able to solve even the most challenging problems with ease.

In this course, you will learn the basics of inverse trigonometric functions and how to use them to solve various types of problems. This course is recorded in Hindi for English medium syllabus of Class 12 Mathematics. The topics covered in this course are: Derivation of identities: You will learn how to derive some important identities involving inverse trigonometric functions and their properties. Derivation and explanation of ranges for inverse trigonometric functions: You will learn how to find the principal values and domains of inverse trigonometric functions and how to explain them graphically. Evaluation type questions: You will learn how to evaluate the values of inverse trigonometric functions for given angles or expressions using the identities and ranges. Simplification type questions: You will learn how to simplify expressions involving inverse trigonometric functions using the identities and properties. Solving type questions: You will learn how to solve equations or inequalities involving inverse trigonometric functions using the methods of substitution, squaring or factorization. The questions in this course are from NCERT Textbook, NCERT exemplar, Board’s Question bank and R.D. Sharma book (private publisher). You will get detailed solutions and explanations for each question along with tips and tricks to save time and avoid mistakes. This course is suitable for students who want to revise the concepts of inverse trigonometric functions and practice solving different types of problems. It will also help you prepare for your board exams and competitive exams like JEE Main, JEE Advanced, NEET etc. By the end of this course, you will have a clear understanding of inverse trigonometric functions and their applications. You will also gain confidence and speed in solving problems involving these functions.

This course is Part 1 of Chapter 5 Continuity and Differentiability of Class 12 Maths. In this course, you will learn about the concepts of continuity and differentiability of functions and their properties. You will also learn how to check if a function is continuous or differentiable at a point or in an interval using limits. You will solve problems based on finding the values of unknown constants that make a function continuous or differentiable. You will also examine some functions for continuity and differentiability using algebraic and graphical methods. This course covers questions from NCERT exercise, NCERT Examples, NCERT Exemplar, Board's question bank and other books from private publishers.

Continuity and Differentiability Part 2 is a Class 12 Math course that delves into exponential and logarithmic function differentiation, second-order derivatives, implicit and explicit functions, derivatives of composite and implicit functions, derivatives of inverse trigonometric functions, parametric functions, and covers exercises from NCERT Exercise 5.2 to Miscellaneous. This course enhances understanding of calculus, develops problem-solving skills, and equips students to differentiate complex functions, solve implicit equations, apply the chain rule, differentiate inverse trigonometric functions, analyze parametric functions, and tackle exercises from NCERT Exercise 5.2 to Miscellaneous.

Part 3 of the course "Continuity and Differentiability" for Class 12 Math focuses on developing higher-order thinking skills in solving derivative-related questions sourced from various textbooks such as NCERT Exemplar, R. D. Sharma, Board's Question Bank, and more. This section challenges students to apply their knowledge of derivatives in complex and diverse scenarios. Through this course, students will encounter a wide range of thought-provoking questions that require critical thinking, logical reasoning, and analytical skills. These questions go beyond routine problem-solving and encourage students to think creatively, formulate strategies, and make connections between different concepts. By solving higher-order thinking questions, students will deepen their understanding of derivatives and their applications. They will gain proficiency in identifying relevant concepts, selecting appropriate techniques, and devising efficient problem-solving approaches.

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