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NCERT Exercise 2.1 Chapter 2 Relations and Functions Class 11 Maths | MathYug

Expert Video Lecture by Ashish Sir – Relations and Functions (Class 11 Maths Chapter 1)

This video lecture provides a comprehensive explanation of the Cartesian Product, Ordered Pairs, and NCERT Exercise 2.1 from the chapter "Relations and Functions" in Class 11 Mathematics. The session is conducted by Ashish Sir, a subject expert known for in-depth and student-friendly teaching.

Lecture Timeline:

00:00:01 Introduction to this lecture 

00:00:30 Why Relations And Functions is important for Class 12 Maths 

00:02:06 Practical Example related to Cartesian Product 

00:06:16 Cartesian Product and Ordered Pairs NCERT Exercise 2.1 

00:11:46 Question 1 

00:13:36 Question 3 

00:18:46 Question 2 

00:22:16 Question 6 

00:23:16 Question 9 

00:27:06 Question 5 

00:34:26 Question 10 

00:39:06 Brief revision of Cartesian Product 

00:44:26 Question 4 

00:47:46 Question 7 

00:52:06 Question 8

This session is ideal for students looking to strengthen their conceptual understanding and master the fundamentals of Cartesian Products and relations through detailed NCERT problem-solving.

To access the complete course, including all video lectures, notes, and assignments, visit: https://mathyug.com/class-11-maths

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00:00:22 Introduction to Lecture 2 of Sets

00:01:32 Basics Explanation of Subsets

00:09:42 NCERT Exercise 1.3 Question 1

00:18:00 Detailed explanation and difference between subset & belongs to (Set belongs to another set)

00:37:32 NCERT Exercise 1.3 Question 2

00:42:52 NCERT Exercise 1.3 Question 3

00:48:52 Total number of subsets in a set (NCERT Exercise 1.3 Question 4)

00:55:12 Power Sets

00:58:12 NCERT Exercise 1.3 Question 5

01:01:32 Represent Real Numbers through closed and open intervals

01:10:32 NCERT Exercise 1.3 Question 6

01:12:02 NCERT Exercise 1.3 Question 7

01:14:42 Universal Sets

01:18:02 NCERT Exercise 1.3 Question 8

01:19:32 NCERT Exercise 1.3 Question 9

Master NCERT Exercise 1.3 of Sets (Class 11 Maths Chapter 1) with this detailed lecture by expert Ashish Sir from MathYug. Learn subsets, power sets, universal sets, and interval notation for real numbers with step-by-step solutions to all questions.

Download notes and assignments from https://mathyug.com/class-11-maths

Explore CBSE + IIT JEE Syllabus (in Hindi): https://mathyug.com

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Master Chapter 1: Sets from Class 11 Maths with Ashish Sir in this detailed lecture! This video provides step-by-step solutions for NCERT Exercises 1.1 & 1.2, ensuring a solid understanding of Sets and their types.

🔹 Key Concepts Covered: ✔️ Meaning of Sets & Different Forms (Roster & Set Builder Notation) ✔️ Special Types of Sets (Null, Finite, Infinite, Equal Sets) ✔️ Complete Solutions for NCERT Exercise 1.1 & 1.2

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Class 11 Maths | NCERT Solutions for Sets (Exercise 1.1 & 1.2) | Easy Explanation

Chapter 1: Sets – Class 11 Maths (NCERT Solutions for Exercise 1.1 & 1.2) In this lecture, I break down Chapter 1: Sets from Class 11 Maths with step-by-step solutions for NCERT Exercises 1.1 & 1.2.

🔹 Key Concepts Covered:

✔️ Meaning of Sets & Different Forms (Roster, Set Builder, etc.)

✔️ Special Types of Sets (Null, Finite, Infinite, Equal Sets)

✔️ Detailed Solutions for Each NCERT Question

🎯 Timestamps for Easy Navigation:

🔹 Exercise 1.1

⏳ 00:00:01 – Meaning of Sets

⏳ 00:03:38 – NCERT Exercise 1.1 Question 1

⏳ 00:09:58 – Roster Form, Listing Method, Property Method, Set Builder Form

⏳ 00:20:51 – "Belongs to" Concept

⏳ 00:23:21 – Question 2 ⏳ 00:25:01 – Question 3

⏳ 00:33:31 – Some Special Sets

⏳ 00:38:11 – Question 4

⏳ 00:48:41 – Question 5

⏳ 00:53:21 – Question 6

⏳ 00:59:21 – Null Sets / Empty Sets / Void Sets

🔹 Exercise 1.2

⏳ 01:01:51 – Question 1

⏳ 01:04:01 – Question 2 (Finite Sets and Infinite Sets)

⏳ 01:05:51 – Question 3

⏳ 01:08:21 – Equal Sets

⏳ 01:09:41 – Question 4

⏳ 01:11:01 – Question 5

⏳ 01:13:11 – Question 6

📖 Complete Syllabus & Study Resources Available on Our Website: 🌐 https://mathyug.com/class-11-maths

*If you have any query, you can contact our support team on the below link: https://mathyug.com//support

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Linear Inequalities — Class 11 Maths Course by Mathyug

Understanding Linear Inequalities is a fundamental aspect of Class 11 Maths, laying the groundwork for various advanced topics in algebra and calculus. Mathyug’s course on Linear Inequalities is designed to make this topic engaging and easy to grasp, ensuring students not only master the concepts but also apply them effectively in problem-solving scenarios.

Why Choose Mathyug for Linear Inequalities?

Mathyug stands out for its structured approach and comprehensive coverage of topics. The Linear Inequalities module is no exception. Here’s what makes it unique:

High-Quality Video Lectures: Each concept is explained in detail, breaking down complex ideas into simple, understandable steps. The use of real-life examples helps in visualizing abstract mathematical concepts, making the learning process intuitive and engaging.

Detailed Notes: Mathyug provides meticulously crafted notes that complement the video lectures. These notes cover all the theoretical aspects, important formulas, and shortcuts, ensuring a solid understanding of the topic.

Assignments for Practice: The course includes a variety of assignments for linear inequalities that challenge students to apply what they’ve learned. These assignments are curated to cover a broad spectrum of problems, from basic to advanced levels, fostering a deeper understanding and preparing students for exams.

Conceptual Clarity: The focus is on building a strong conceptual foundation. This is crucial as Linear Inequalities form the basis for several other topics in mathematics, including linear programming and calculus.

Course Highlights

Comprehensive Coverage: The course covers all NCERT topics as well as additional concepts required for competitive exams like JEE.

Interactive Learning: The lectures are interactive, encouraging students to think critically and solve problems in real-time.

Regular Updates: Mathyug ensures the content is up-to-date, incorporating the latest syllabus changes and best teaching practices.

Sample Video Showcase

To give you a glimpse of the quality and style of teaching, here’s a sample video from the Linear Inequalities course. This video demonstrates Mathyug’s approach to making complex topics accessible and interesting. It’s a must-watch for anyone looking to excel in Class 11 Mathematics.

Why Linear Inequalities Matter

Linear Inequalities are more than just an academic requirement. They are essential in understanding and solving real-world problems involving constraints and optimization. Whether you’re calculating budget limits, analyzing business profit margins, or simply planning your daily schedule, the principles of inequalities are at play.

Conclusion

Mathyug’s Linear Inequalities course for Class 11 is an excellent resource for students aiming to master this topic. The combination of engaging video lectures, comprehensive notes, and challenging assignments makes it an ideal choice for both regular curriculum studies and competitive exam preparation.

If you’re looking to strengthen your grasp of Linear Inequalities and ace your exams, Mathyug’s course is the perfect companion on your learning journey.

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Complex Numbers Class 11 Maths Exercise 5.2 Chapter 5 Tutorial - MathYug

00:00:46 Cartesian Coordinate System and Polar Coordinate System

00:09:00 Relationship between cartesian coordinate system and polar coordinate system

00:20:48 Argand Diagram

00:32:00 Meaning of Modulus and Modulus of Complex Numbers mod(z)=|z|= r

00:35:00 Detailed explanation and derivation for argument of complex numbers arg(z), Polar form

01:00:11 NCERT Exercise 5.2 Question 1 01:03:11 NCERT Exercise 5.2 Question 2

01:05:01 NCERT Exercise 5.2 Question 3 01:07:55 NCERT Exercise 5.2 Question 4

01:09:42 NCERT Exercise 5.2 Question 5 01:11:51 NCERT Exercise 5.2 Question 6

01:18:41 NCERT Exercise 5.2 Question 7 01:20:11 NCERT Exercise 5.2 Question 8

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Explore Complex Numbers: Video Tutorials on MathYug for Class 11 Maths

In the realm of Class 11 Mathematics, complex numbers often stand out as a topic that both intrigues and challenges students. With its unique algebraic and geometric properties, mastering complex numbers not only enhances mathematical prowess but also lays a solid foundation for future studies in calculus, physics, and engineering. To aid in this journey of understanding, Ashish Kumar, through MathYug, offers an invaluable resource: video tutorials, comprehensive PDF notes, and challenging assignments designed to illuminate the intricacies of complex numbers.

Video Tutorials: Visual Learning at Its Best

Ashish Kumar’s video tutorials on complex numbers are a beacon for students seeking clarity and deeper understanding. These tutorials are meticulously crafted to simplify complex concepts, using intuitive explanations and step-by-step breakdowns of problems. Whether you’re grappling with the basics of imaginary numbers or diving into the geometric interpretation of complex plane operations, Ashish Kumar’s approach ensures that every student can grasp the material at their own pace.

The benefits of video tutorials extend beyond mere explanation. They provide a dynamic learning experience where students can rewind, pause, and revisit explanations until they achieve mastery. Visual learners find these tutorials particularly effective as they can see concepts unfold in real-time, aiding in retention and comprehension.

To give you a glimpse into the comprehensive learning experience offered by MathYug, we’ve included a sample video tutorial on complex numbers by Ashish Kumar. This video exemplifies Ashish Kumar’s pedagogical approach, combining clarity with depth to unravel the intricacies of complex numbers. From foundational concepts to practical applications, Ashish Kumar adeptly guides viewers through each step, ensuring a thorough understanding. Whether you’re new to complex numbers or looking to reinforce your knowledge, this sample video provides a valuable insight into the quality of education available on MathYug.

Comprehensive PDF Notes: Your Go-To Study Companion

Accompanying the video tutorials are comprehensive PDF notes, meticulously prepared to encapsulate every aspect of complex numbers covered in the tutorials. These notes serve as a handy reference, allowing students to reinforce their understanding of key concepts and formulas outside of the video lessons.

Ashish Kumar’s PDF notes are structured to align with the video tutorials, ensuring a seamless learning experience. They include detailed derivations, solved examples, and practical tips for tackling complex number problems. Whether preparing for exams or aiming to deepen conceptual understanding, these notes provide a structured framework that consolidates learning and promotes academic success.

Challenging Assignments: Testing Your Limits

Understanding complex numbers isn’t just about passive learning — it’s about active engagement and application. Ashish Kumar’s challenging assignments for complex numbers are designed to push students beyond their comfort zones, encouraging them to apply theoretical knowledge to solve complex problems.

These assignments cover a spectrum of difficulty levels, from foundational exercises to advanced problems that stimulate critical thinking. By grappling with these assignments, students not only reinforce their understanding but also develop problem-solving skills essential for academic and real-world challenges.

Why Choose MathYug?

MathYug, under the guidance of Ashish Kumar, stands out as a beacon of quality education in the digital era. With a commitment to clarity, depth, and accessibility, MathYug’s resources on complex numbers empower students to excel in their mathematical journey. Whether you’re struggling to grasp the basics or aiming for mastery, MathYug’s comprehensive approach ensures that every student finds the support they need to succeed.

Empowering Students Through Knowledge

In conclusion, Ashish Kumar’s video tutorials, complemented by comprehensive PDF notes and challenging assignments on MathYug, offer a transformative learning experience for students tackling complex numbers in Class 11 Mathematics. By leveraging these resources, students not only gain mastery over complex concepts but also cultivate a deeper appreciation for the beauty and utility of mathematics in everyday life.

If you’re ready to embark on a journey of mathematical discovery and excellence, MathYug is your gateway to success. Explore the world of complex numbers with Ashish Kumar and pave the way for a future rich in mathematical understanding and academic achievement.

Remember, the power to master complex numbers lies within your grasp — unlock it with Ashish Kumar and MathYug today!

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Video Tutorials, Notes, and Assignments for Principle of Mathematical Induction Class 11 Maths - Mathyug

In the ever-evolving world of education, finding the right resources for self-study can be challenging. Thankfully, MathYug has revolutionized the way students approach complex mathematical concepts. One such resource is Ashish Sir’s comprehensive course on the Principle of Mathematical Induction for Class 11 students.

Course Overview

Ashish Sir’s course on the Principle of Mathematical Induction is meticulously designed to cater to the needs of Class 11 students. The course provides a structured and thorough exploration of the principle of mathematical induction, a fundamental concept in higher mathematics. The course can be accessed here.

What You’ll Learn

Process of Proof by Induction: Ashish Sir breaks down the process of proof by induction into manageable steps, ensuring students grasp the foundational aspects before moving on to more complex applications.

Application to Natural Numbers: By looking at natural numbers as the least inductive subset of real numbers, the course motivates the application of the method, making abstract concepts more tangible and easier to understand.

Principle of Mathematical Induction: The core of the course delves deep into the principle of mathematical induction itself, offering clear and concise explanations that demystify this often challenging topic.

Simple Applications: To solidify understanding, the course includes simple applications of the principle, allowing students to see how theoretical concepts are applied in practical scenarios.

Comprehensive Study Material

Video Tutorials: Ashish Sir’s engaging video tutorials are a standout feature of this course. His teaching style is both clear and engaging, ensuring that students can follow along with ease. Each video is carefully crafted to build on previous lessons, reinforcing learning and aiding retention.

Notes: In addition to video tutorials, the course offers detailed notes that summarize key points and provide additional explanations. These notes are extremely helpful for revision and for reinforcing the concepts taught in the videos.

Assignments: To test understanding and ensure mastery of the topic, the course includes assignments that challenge students to apply what they’ve learned. These assignments are designed to mirror exam questions, providing excellent preparation for exams.

NCERT Exercise Questions and Important Examples

Understanding concepts and performing well in exams often go hand-in-hand. Ashish Sir’s course includes comprehensive explanations of all NCERT exercise questions and important NCERT examples. This ensures that students are well-prepared not only to understand the material but also to excel in their examinations.

Sample Videos

To give you a taste of what this course has to offer, here are some sample videos from Ashish Sir’s tutorials:

Why Choose This Course?

Ashish Sir brings a wealth of experience and a passion for teaching to this course. His methodical approach and clear explanations make even the most challenging concepts accessible to students. The combination of video tutorials, notes, and assignments offers a well-rounded learning experience that caters to different learning styles.

For Class 11 students aiming to master the Principle of Mathematical Induction, this course is an invaluable resource. Whether you’re struggling with the basics or looking to perfect your understanding, Ashish Sir’s course on MathYug provides the tools you need for success.

Enroll Now

Ready to take your understanding of the Principle of Mathematical Induction to the next level? Enroll in Ashish Sir’s course on MathYug today and start your journey towards mathematical mastery. Access the course here.

Embark on your self-study journey with MathYug and experience the difference that quality teaching can make.

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To give you a taste of what MathYug has to offer, we are sharing a selection of sample videos from our Class 11 Maths tutorials. These videos exemplify the high-quality, in-depth teaching style that Ashish Sir is known for.

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Detailed explanation of NCERT solutions for Exercise 1.1 & 1.2 in Chapter 1 Sets, Class 11 Maths with expert-created video lectures taught by Ashish Sir!

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NCERT Exercise 2.1 Relations and Functions Class 11 Maths Chapter 2

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NCERT Exercise 5.2 Complex Numbers Class 11 Maths Chapter 5

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NCERT Exercise 7.3 Permutations and Combinations Class 11 Maths Chapter 7

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Unified Online Learning Platform for Maths and Physics which provides wider access to quality education for class 11 maths students.

This online learning platform provides chapter wise courses that will cover NCERT Exercise, Examples, NCERT Exemplar, R.D Sharma and Board’s Question Bank.

www.ashishkumarletslearn.com