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Inverse Trigonometric Functions | Class 12 Maths NCERT Exercise 2.1 | MathYug

00:00:30 What is the meaning of Inverse Trigonometry

00:03:40 Conditions when inverse of a function exists

00:17:50 Range of Inverse trigonometric functions (Principal values)

00:21:13 Derivation for negative input in inverse trigonometry

00:29:13 NCERT Solutions Exercise 2.1 Question 1

00:31:13 NCERT Solutions Exercise 2.1 Question 2

00:32:23 NCERT Solutions Exercise 2.1 Question 3

00:33:23 NCERT Solutions Exercise 2.1 Question 4

00:34:15 NCERT Solutions Exercise 2.1 Question 5

00:35:23 NCERT Solutions Exercise 2.1 Question 6

00:36:13 NCERT Solutions Exercise 2.1 Question 7

00:37:00 NCERT Solutions Exercise 2.1 Question 8

00:37:33 NCERT Solutions Exercise 2.1 Question 9

00:38:43 NCERT Solutions Exercise 2.1 Question 10

00:39:23 NCERT Solutions Exercise 2.1 Question 11

00:41:13 NCERT Solutions Exercise 2.1 Question 12

00:42:03 NCERT Solutions Exercise 2.1 Question 13

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Relations & Functions Class 12 Maths | NCERT Exercise 1.1 | Ashish Sir | MathYug

Taught by Ashish Sir | MathYug | Complete Board + JEE Prep in Hindi

In this detailed and conceptual lecture, Ashish Sir explains the foundational concepts of Relations and Functions, focusing on:

🔹 Reflexive, Symmetric, Transitive, and Equivalence Relations

🔹 Equivalence Classes

🔹 NCERT Exercise 1.1 Questions

🔹 NCERT Exemplar & Board’s Question Bank Problems

🔹 Step-by-step explanations in Hindi + English

📌 Timestamps:

00:00:08 Reflexive, Symmetric, Transitive Relations and Equivalence Relations

00:21:22 Equivalence classes Lecture 1 (NCERT Exercise 1.1, NCERT Exemplar, Board’s Question Bank)

00:27:35 Question 6 Let A = {0, 1, 2, 3} and define a relation R on A as follows: R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}. Is R reflexive? symmetric? transitive? (E)

00:36:52 Question 7 Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer. (N) A. R is reflexive and symmetric but not transitive. B. R is reflexive and transitive but not symmetric. C. R is symmetric and transitive but not reflexive. D. R is an equivalence relation.

00:39:32 Question 8 Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1} is reflexive, symmetric or transitive. (N)

00:43:32 Question 9 Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

(N) 📥 Download Notes & Practice Sheets: https://mathyug.com/class-12-maths

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Relations and Functions | Class 12 Maths | NCERT Chapter 1 Exercise 1.1 | MathYug

Timestamps & Topics Covered:

00:00:05 Introduction and How I am going to teach you Class 12 Maths on my Channel

00:06:37 Empty Relations and Universal Relations (Trivial Relations) Lecture 1 (NCERT Exercise 1.1, NCERT Exemplar, Board’s Question Bank)

00:12:27 Question 1 Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b 6}. Choose the correct answer. A. (2, 4) ∈ R B. (3, 8) ∈ R C. (6, 8) ∈ R D. (8, 7) ∈ R (N)

00:15:17 Question 2 Let A= {1, 2, 3,} and define R = {(a, b): a – b = 12}. Show that R is empty relation on Set A. (B)

00:17:47 Question 3 Let A be the set of all students of a boy’s school. Show that the relation R in A given by R = {(a, b) : a is sister of b} is the empty relation and R′ = {(a, b) : the difference between heights of a and b is less than 3 meters} is the universal relation. (N)

00:28:17 Question 4 If A is the set of students of a school then write, which of following relations are Universal, Empty or neither of the two. R1 = {(a, b) : a, b are ages of students and |a – b| 0} R2 = {(a, b) : a, b are weights of students, and |a – b| 0} R3 = {(a, b) : a, b are students studying in same class} (B)

00:40:47 Question 5 Let A = {1, 2, 3,} and define R = {(a, b): a + b 0}. Show that R is a universal relation on set A. (B)

📖 Complete Syllabus & Study Resources Available on Our Website: 🌐 https://mathyug.com/class-12-maths

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In this comprehensive video lecture, MathYug’s expert educators provide step-by-step explanations on the topic of “Applications of Derivatives” from Class 12 Maths. This lesson focuses on finding the intervals where a function is increasing or decreasing and solving key NCERT Exercise 6.2 questions. The video is structured to ensure clear understanding with detailed solutions to each problem. Here’s the breakdown:

00:00:01— Introduction: How to find intervals where a function is increasing or decreasing.

00:03:51 — NCERT Exercise 6.2 Question 1: Solving problems related to increasing and decreasing functions.

00:06:01 — NCERT Exercise 6.2 Question 2: Further exploration of interval determination with derivatives.

00:10:41 — NCERT Exercise 6.2 Question 3: Advanced applications of derivatives in interval determination.

00:17:21— NCERT Exercise 6.2 Question 4: Solving more complex problems involving increasing and decreasing functions.

00:27:01 — NCERT Exercise 6.2 Question 5: Applying derivative concepts to solve various function problems.

00:35:01 — NCERT Exercise 6.2 Question 6 (a) (b) © (d): Comprehensive solutions to multi-part questions on the applications of derivatives.

This video is perfect for Class 12 students aiming to strengthen their understanding of this important calculus topic.

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Sample Video Tutorial on Inverse Trigonometric Functions for Class 12 Maths — MathYug

Explore Inverse Trigonometric Functions with video tutorials on MathYug for Class 12 Maths by subject expert Ashish Kumar. Master complex concepts with clear explanations and step-by-step guidance.

We’re excited to share sample video tutorials on Inverse Trigonometric Functions by Ashish Kumar (Agam Sir) to highlight the quality education MathYug offers. In these sample videos, Ashish Sir simplifies complex concepts into easy-to-understand segments, providing clear explanations and step-by-step solutions. These engaging tutorials highlight the effective teaching methods used in all our Class 12 Maths resources. Watch the videos and see how MathYug can transform your learning experience.

NCERT Exercise 2.2 Inverse Trigonometric Functions Class 12 Maths — MathYug

Inverse Trigonometric Functions Class 12 Maths Chapter 2 (Part-1) — MathYug

Inverse Trigonometric Functions Class 12 Maths Chapter 2 (Part-2) — MathYug

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Relations and Functions: Class 12 Maths Video Tutorials — Mathyug

Are you a Class 12 student gearing up for your Maths exams? Do the concepts of relations and functions seem daunting? Fret not! Ashish Sir from MathYug has designed an exceptional self-study course that covers everything you need to master these topics. This comprehensive course includes video tutorials, detailed notes, and assignments that ensure thorough understanding and practice.

What You’ll Learn

Ashish Sir’s course on MathYug is meticulously structured to provide a deep understanding of relations and functions, a crucial component of Class 12 Mathematics. The course is divided into two main parts:

1. Relations

In this segment, you will explore various types of relations. Here’s a brief overview of what you’ll learn:

Empty Relations: Understanding the concept of relations where no element of a set is related to any element of another set.

Universal Relations: Learning about relations where every element of a set is related to every element of another set.

Trivial Relations: Delving into the simplest form of relations that only relate to the identical pairs.

Reflexive Relations: Understanding relations where every element is related to itself.

Symmetric Relations: Exploring relations where if one element is related to another, the second element is also related to the first.

Transitive Relations: Learning about relations where if one element is related to a second, and the second to a third, then the first is related to the third.

Equivalence Relations: Discovering relations that are reflexive, symmetric, and transitive.

Equivalence Classes: Understanding the partition of a set into disjoint subsets where each subset is an equivalence class.

To ensure comprehensive understanding, the course provides practice questions from diverse sources such as NCERT Textbook exercises, NCERT Examples, Board’s Question Bank, RD Sharma, and NCERT Exemplar. You can download the PDF of assignments within the course for additional practice.

2. Functions

The second part of the course focuses on functions, including:

One to One and Onto Functions: Understanding functions where each element of one set is paired with a unique element of another set, and functions that map elements from one set onto every element of another set.

Composite Functions: Learning how to combine two functions to form a new function.

Inverse of a Function: Exploring how to find the function that reverses the effect of the original function.

Similar to the relations segment, this part also includes practice questions from various reputable sources. The assignments are designed to reinforce your understanding and are available for download within the course.

Sample Videos

To give you a glimpse of the quality of instruction, Ashish Sir has shared sample videos covering some of these essential topics. Watching these will help you understand his teaching methodology and the depth of content provided.

If you’re aiming to excel in your Class 12 Maths exams, Ashish Sir’s course on MathYug is your go-to resource. With detailed video tutorials, comprehensive notes, and extensive assignments, you will gain a solid understanding of relations and functions. Start your journey towards mastering these crucial topics today!

For more information and to access the course, visit MathYug. Happy learning!

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Basics of Logarithms, log table and antilog table | Class 11, 12

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In this self study course, you will learn integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals including answers to all NCERT exercise questions, examples, supplementary exercise questions and Sample Papers for NCERT Chapter 7 Integrals Class 12 Maths.

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NCERT Exercise 2.1 of Chapter 2 Inverse Trigonometric Functions Class 12 Maths explained by expert teacher.

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One-One, Many-One, Into & Onto of NCERT Chapter 1 Relations and Functions Class 12 Maths explained by expert teacher.

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Expert created video lecture explaining ncert solutions for Exercise 1.1 for Relations and Functions Class 12 Maths.

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Direct & Simplification Method of NCERT Chapter 7 Integrals Calculus Class 12 Maths.