#ncert solutions for class 2 maths

[class12maths]

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

Inverse Trigonometric Functions can be challenging, but our Part 1 course provides a solid foundation for success. Join us for comprehensive explanations and practice problems drawn from sources like NCERT, Board's Question bank, and R.D. Sharma. Visit https://mathyug.com/class-12-maths for the full course.

Questions Discussed:

Simplify:

Question 1. tan^(-1)( sqrt(1-cosx)/(1+cosx) ), x < pi

Question 2. tan^(-1)( (cos x-sin x)/(cos x + sin x) ), x < pi

Question 3. cot^(-1)( 1/(sqrt(x^2)-1) ), |x| > 1

Question 4. tan^(-1)( 1/(sqrt(x^2)-1) ), |x| > 1

Question 5. tan^(-1)( (sqrt(1+x^2)-1)/x ), x ≠ 0

Question 6. tan^(-1)( x/sqrt(a^2-x^2) ), |x| < a

Part 1 of the Inverse Trigonometric Functions course is a comprehensive and engaging resource that covers a wide range of essential concepts and topics related to the subject. The course is delivered in Hindi and is designed specifically for English medium syllabus.

Throughout this course, you will explore a variety of key areas, including the derivation of identities and explanation of ranges for inverse trigonometric functions. These foundational concepts are crucial for developing a deep understanding of the subject and will provide a solid base for further exploration of more advanced topics.

To ensure that you gain a comprehensive understanding of the course material, Part 1 features carefully crafted practice questions that include evaluation, simplification, and solving problems. These questions are drawn from authoritative sources such as the NCERT Textbook, NCERT exemplar, Board's Question bank, and R.D. Sharma book (private publisher).

Whether you're a student preparing for exams or a professional seeking to broaden your knowledge, this course is an excellent resource that will provide you with the essential skills and knowledge to confidently tackle related challenges. With detailed explanations, comprehensive examples, and engaging exercises, you'll be able to develop a solid foundation in the subject and build upon your existing knowledge to become a proficient expert in Inverse Trigonometric Functions.

Website: https://mathyug.com

[inversetrigonometricfunctions]

Class 12 Maths Inverse Trigonometric Functions Course | JEE Mains की तैयारी | MathYug

अगर आप Class 12 Maths में Inverse Trigonometric Functions अच्छे से समझना चाहते हैं और साथ ही JEE Mains की भी तैयारी कर रहे हैं, तो MathYug का यह कोर्स आपके लिए बहुत फायदेमंद है। इस कोर्स में expert teacher Ashish Sir ने हर concept को आसान भाषा में समझाया है।

आप इस course में सीखेंगे:

Inverse Trigonometric Functions की definition

Domain और range

Principal value branches

Graphs और identities

Elementary properties

सिर्फ समझना ही नहीं, बल्कि concept को और पक्का करने के लिए NCERT textbook, exemplar, RD Sharma और Board’s Question Bank से चुने गए questions को assignments के तौर पर दिया गया है। इन assignments की PDF भी download की जा सकती है।

यह कोर्स Class 12 students के साथ-साथ JEE Mains aspirants के लिए भी designed है, ताकि दोनों ही exams की तैयारी एक साथ हो सके।

MathYug आपको expert guidance, professional notes, और structured learning के साथ एक complete learning experience देता है। Join कीजिए और अपने maths concepts को strong बनाइए।

Join the complete course now at: https://mathyug.com/c/ch2-inverse-trigonometric-functions/

[friendtutor]

📘 Class 10 Maths Real Numbers Ex 1.1 – Free Handwritten PDF Notes & NCERT Solutions (CBSE 2025)

📚 CBSE Class 10 Maths Chapter 1 – Real Numbers

Free Handwritten Notes + NCERT Solutions PDF Download

Are you preparing for the CBSE Class 10 Board Exam 2025? Start strong with Chapter 1 – Real Numbers – one of the most important topics in Maths. Whether it's Euclid’s Lemma, HCF/LCM, or irrational numbers, this chapter forms the base for many questions.

📥 Free PDF Download Get beautifully handwritten notes, NCERT solutions, and shortcut tricks – all in one easy-to-read PDF!

🧠 What’s Covered:

Euclid’s Division Lemma

Fundamental Theorem of Arithmetic

Prime Factorization, HCF & LCM

Proofs of irrational numbers (like √2)

Full solutions for Ex 1.1, 1.2,

Perfect for last-minute revision and full understanding!

📲 Stay Updated!

Join my WhatsApp Channel for more free notes, quizzes, and updates: 👉 https://whatsapp.com/channel/0029Va5XgtE5K3zd959zz12u

[kavinderrawat]

Master Learning with Saraswati Tutorials: Trusted Home Tuition in Dehradun

In the heart of Uttarakhand lies Dehradun — a city celebrated for its academic excellence, prestigious schools, and competitive education culture. As students face mounting pressure to perform well in school, board exams, and entrance tests, the demand for Home Tuition in Dehradun has increased significantly. In this fast-paced educational environment, Saraswati Tutorials has emerged as a trusted name for parents and students seeking reliable academic support at home.

Whether your child needs help understanding a subject or wants to get ahead with extra practice, Saraswati Tutorials is your answer for high-quality, personalized learning. With a team of expert educators, we bring the best Home Tutor in Dehradun right to your doorstep.

Why Home Tuition in Dehradun is Gaining Popularity

Gone are the days when coaching centers were the only solution for academic help. Today, parents prefer home tuition for its personalized approach, flexible timing, and student-centric focus. In cities like Dehradun, where education is a priority, home tuition plays a crucial role in bridging learning gaps.

Here are some reasons why Home Tuition in Dehradun is becoming the preferred choice:

One-on-One Learning – Each student receives undivided attention, leading to better focus and clarity.

Custom Study Plans – Tutors can tailor lessons according to the student’s strengths, weaknesses, and goals.

Comfortable Learning Environment – Studying at home reduces distractions and travel time.

Performance Tracking – Tutors can provide regular feedback and progress updates.

Parental Involvement – Parents can monitor their child’s progress closely and stay engaged in the learning process.

If you’re a parent or student searching for the right support system, a qualified Home Tutor in Dehradun from Saraswati Tutorials can make all the difference.

About Saraswati Tutorials – A Name You Can Trust

At Saraswati Tutorials, we specialize in providing effective and result-oriented Home Tuition in Dehradun. With over a decade of experience and a large pool of experienced educators, we have helped countless students across various boards (CBSE, ICSE, and State Board) achieve academic excellence.

Our vision is simple: Every student has the potential to succeed — they just need the right mentor, motivation, and method.

Subjects and Classes We Cover

Saraswati Tutorials offers Home Tutor in Dehradun for a wide range of subjects and class levels:

Primary Classes (1–5)

Basic concepts in Math, English, Hindi, and Environmental Studies

Activity-based and interactive learning

Middle School (6–8)

Focused subject-specific support in Science, Social Science, and Math

Foundation building for high school

High School (9–10)

NCERT syllabus coverage with in-depth concept explanations

Exam-oriented study techniques and regular mock tests

Senior Secondary (11–12)

Subject specialists in Physics, Chemistry, Biology, Math, Accountancy, Economics, Business Studies, and more

Board exam preparation and revision-focused sessions

Our Teaching Approach

1. Personalized Lesson Plans

Every child learns differently. Our Home Tutor in Dehradun designs unique lesson plans based on the student’s learning style, academic level, and goals. Whether the child is a fast learner or needs extra support, we adapt to their pace.

2. Board-Aligned Curriculum

Our tutors are well-versed with CBSE, ICSE, and state board syllabi. This ensures that students are taught as per the latest curriculum and exam guidelines.

3. Doubt-Clearing & Concept Reinforcement

We prioritize clarity over cramming. Tutors focus on helping students understand concepts deeply, clearing doubts in real-time, and revisiting topics until the student is fully confident.

4. Regular Assessments & Feedback

To track progress, we conduct periodic assessments. Detailed feedback is shared with parents to ensure continuous improvement.

Why Saraswati Tutorials Is the Best for Home Tuition in Dehradun

Here’s what makes Saraswati Tutorials the preferred choice for students and parents alike:

Experienced & Verified Tutors: Our educators are highly qualified, trained, and passionate about teaching.

Flexible Scheduling: We offer classes at timings convenient for the student, including weekends and evenings.

Safe & Secure: Learning at home under parental supervision ensures a safe academic environment.

Affordable Pricing: Quality tutoring services that are budget-friendly without compromising standards.

Dedicated Academic Support: Tutors act as guides and mentors, encouraging students to stay motivated.

Testimonials from Happy Parents & Students

“We enrolled our daughter for science and math tuition with Saraswati Tutorials. The results were amazing – not just in marks, but in her confidence too.” — Mrs. Sharma, Vasant Vihar, Dehradun

“I was struggling in Class 11 Chemistry. Thanks to the home tutor from Saraswati Tutorials, I now enjoy the subject and scored 90+ in my term exam.” — Rahul Mehta, Class 11 Student

How to Get Started?

Getting started with Saraswati Tutorials is simple:

Contact Us: Reach out via call or WhatsApp with your requirements.

Free Demo Class: We offer a no-obligation trial class to help you evaluate our teaching quality.

Tutor Allotment: Based on your child’s needs, we assign the most suitable Home Tutor in Dehradun.

Start Learning: Flexible schedules, regular assessments, and continuous progress from Day 1.

Conclusion

With the growing academic pressure and increasing competition, students need more than just classroom lectures to succeed. Home Tuition in Dehradun is not a trend — it's a necessity. And with Saraswati Tutorials, you don’t just get a tutor — you get a dedicated partner in your child’s learning journey.

So if you're looking for a Home Tutor in Dehradun who can deliver results with care, passion, and expertise, look no further than Saraswati Tutorials. Your child’s academic success starts at home — and we’re here to guide every step of the way.

[shielddefenceacademy24]

Top 7 Mistakes to Avoid While Preparing for NDA 2 2025 Exam

Top 7 Mistakes to Avoid While Preparing for NDA 2 2025 Exam | Shield Defence Academy

The NDA 2 2025 Exam is more than just a test—it’s your ticket to becoming a proud officer in the Indian Armed Forces. Thousands of aspirants dream of clearing it, but only a few make it. Why? Most candidates make basic but costly errors that could’ve been easily avoided. If you’re serious about your goal, then understanding the Top 7 Mistakes to Avoid While Preparing for NDA 2 2025 Exam is your first real step toward success.

Why Candidates Fail Despite Hard Work

You might be putting in hours every day, burning the midnight oil, and skipping weekends—but still not getting the results. Why? Because effort without strategy leads nowhere. Mistakes like ignoring the syllabus or neglecting your physical fitness can undo months of hard work. Don’t let these slip-ups sabotage your dream.

Top 7 Mistakes to Avoid While Preparing for NDA 2 2025 Exam

1. Ignoring the Syllabus and UPSC Pattern

This is the most common blunder. Aspirants randomly start preparing from books or YouTube videos without even glancing at the official UPSC NDA syllabus.

Why it matters: UPSC sticks to a defined pattern. If you know what topics to expect, you can study smarter, not harder.

Fix it: Download the latest NDA syllabus and analyze previous years’ papers to understand which topics are most important.

2. Poor Time Management

Balancing NDA prep along with school, tuition, or college is tough. But what’s worse is not having a daily routine.

Symptoms of poor time management: Cramming at the last minute, skipping subjects, or focusing only on favorites.

Solution: Create a timetable that includes study time, breaks, revision, and mock tests. Stick to it!

3. Not Practicing Mock Tests Regularly

Many students underestimate the power of mock tests. They think revising the syllabus is enough. Wrong!

Why mocks help: They train your brain to handle pressure and time constraints.

Shield Defence Tip: Take at least one full mock test every week. After the test, analyze what went wrong and improve.

4. Overlooking English and General Ability Test (GAT)

GAT makes up 600 out of 900 marks in the written exam. Yet, most students only focus on Maths.

Common mistake: Ignoring English grammar, comprehension, current affairs, and science.

What to do: Read newspapers daily, solve English MCQs, and practice current affairs weekly.

5. Skipping NCERT Books

NCERT books from Class 6 to 12 form the backbone of NDA preparation, especially for Maths, Physics, Chemistry, and Geography.

Why students skip them: They think NCERTs are too basic or outdated.

Reality check: Around 60% of NDA questions are NCERT-based. Don’t make the mistake of skipping them.

6. Avoiding Physical Fitness and Medical Standards

NDA isn’t just about passing the written test. You also need to clear SSB interview and medical fitness.

Blunder: Ignoring fitness until the last moment.

Fix: Start running, do push-ups, sit-ups, and improve your stamina now—not after the written test.

7. Lack of Guidance and Coaching

Self-study is great, but sometimes, you need expert guidance to avoid wasting time and effort.

Why it matters: You need someone to correct your mistakes, track your progress, and provide direction.

Solution: Join reputed coaching like Shield Defence Academy where you get subject-wise coaching, mock tests, physical training, and SSB guidance.

How to Rectify These Mistakes

Here’s how to bounce back stronger:

Make a fresh study plan aligned with the UPSC syllabus.

Dedicate 2 hours to GAT and English every day.

Practice 3–4 mock tests monthly.

Start your day with a physical workout.

Refer to NCERT books for basic understanding.

Take regular feedback from mentors or join structured coaching.

Why Shield Defence Academy Recommends Fixing These Mistakes Early

Shield Defence Academy has trained hundreds of NDA qualifiers, and we’ve seen the same pattern every year—those who avoid these mistakes crack the exam confidently.

What we offer:

NDA Foundation Courses

NDA + Schooling Program

Physical Fitness Sessions

Daily Mock Tests

Personal Mentorship and Doubt Clearing

Avoiding these mistakes with us ensures a much higher chance of success.

Additional Tips for NDA 2 2025 Preparation

Use a planner: Track your goals and achievements daily.

Group Study: Helps with peer learning and motivation.

Stay updated: Watch weekly current affairs videos or read monthly compilations.

Use smart apps: For vocabulary, current affairs, and Maths formulas.

Reward yourself: Celebrate small wins to stay motivated.

Conclusion for Top 7 Mistakes to Avoid While Preparing for NDA 2 2025 Exam

Success in the NDA 2 2025 Exam isn’t just about hard work—it’s about smart preparation. Knowing the Top 7 Mistakes to Avoid While Preparing for NDA 2 2025 Exam will save your precious time and effort. So, now that you know what not to do, are you ready to prep like a future officer?

Let Shield Defence Academy be your partner in this mission. From coaching to mentoring to physical training—we’ve got your six!

FAQs

1. What is the right age to start NDA preparation?

The ideal time to start is after Class 10 if you’re aiming for NDA after 12th. Early preparation gives you an edge.

2. Is coaching necessary to crack NDA 2 2025?

Not mandatory, but coaching offers structured learning, mock tests, and expert guidance—especially helpful if you’re serious about success.

3. How can I manage school and NDA preparation together?

Make a weekly timetable, focus on overlapping subjects (Maths, Science), and use weekends for full-length mock tests.

4. Is English really that important in the NDA exam?

Absolutely! English is part of GAT, which carries the highest weightage. Grammar, comprehension, and vocabulary are key scoring areas.

5. How does Shield Defence Academy help in NDA preparation?

From academics to physical fitness, we provide comprehensive coaching, regular assessments, doubt sessions, and SSB prep all under one roof.

[opgworldsschool01]

Ranked among the top schools in Dwarka, it blends traditional values with 21st-century skills.

In the quest to provide children with the best possible education, parents often search for the top schools in Dwarka—a hub of premium educational institutions in Delhi. Among them, OPG World School has consistently risen as a trusted name in shaping bright futures. Known for its academic excellence, modern infrastructure, holistic development approach, and strong value system, OPG World School is not just another CBSE school in Dwarka—it is a community of learners and leaders.

In this article, we’ll explore what makes OPG World School a standout among the top CBSE schools in Dwarka, and how it compares to other top schools in Dwarka Mor and top schools in Dwarka Delhi.

Why Dwarka is an Educational Hub

Dwarka, one of Delhi’s most planned sub-cities, is rapidly growing into an education hotspot. Its connectivity, safety, and community-oriented atmosphere make it an ideal location for schools. The presence of high-quality CBSE-affiliated schools has made it a top choice for parents seeking a nurturing learning environment for their children.

Among this thriving educational landscape, OPG World School has made a name for itself through a well-rounded and progressive approach to learning.

A Brief Introduction to OPG World School

Established with the vision of nurturing responsible and enlightened citizens of tomorrow, OPG World School is more than just a center of academic learning. It is an institution where values meet innovation. Located strategically in Sector 19B, Dwarka, the school caters to students from Pre-Primary to Senior Secondary levels.

Affiliated with the Central Board of Secondary Education (CBSE), the school aims to blend academic rigor with co-curricular dynamism, ensuring that every student receives a balanced education.

What Makes OPG World School One of the Top Schools in Dwarka?

1. Academic Excellence with CBSE Curriculum

As one of the top CBSE schools in Dwarka, OPG World School follows the NCERT curriculum aligned with the CBSE guidelines. The school emphasizes a concept-based and inquiry-driven approach to learning. Students are encouraged to ask questions, seek solutions, and think critically—skills that are invaluable in today’s world.

From Class I onward, the focus is on developing strong fundamentals in mathematics, science, and language arts. For senior classes, the school offers subject streams in Science, Commerce, and Humanities, supported by well-equipped labs and expert faculty.

2. Experienced and Passionate Faculty

A school is only as good as its teachers, and OPG World School takes great pride in its team of experienced, qualified, and passionate educators. Teachers go beyond textbooks, incorporating innovative teaching methods such as smart classrooms, interactive sessions, experiential learning, and regular assessments to ensure conceptual clarity.

Each teacher acts as a mentor, guiding students not just academically but emotionally and socially as well—essential for holistic development.

3. World-Class Infrastructure

Infrastructure is another factor that places OPG World School among the top schools in Dwarka Delhi. The school’s campus is spacious, modern, and eco-friendly. Some highlights include:

Digitally enabled smart classrooms

Science, Maths, and Computer laboratories

A well-stocked library with reading corners

Indoor and outdoor sports facilities

Performing arts and visual arts studios

Audio-visual rooms for multimedia-based learning

The school’s architecture itself encourages learning, creativity, and curiosity.

4. Focus on Holistic Development

At OPG World School, the goal is to nurture students who are not just academically proficient, but also emotionally intelligent, socially aware, and physically fit. The school provides a host of co-curricular and extracurricular activities:

Dance, music, art, and drama programs

Sports like basketball, skating, football, table tennis, and athletics

Clubs for science, eco-awareness, reading, debate, and robotics

Participation in Model United Nations (MUN), Olympiads, and competitions

This focus on all-round development is what makes the school a top choice among top schools in Dwarka Mor and surrounding areas.

5. Global Exposure and Cultural Exchange

OPG World School encourages global awareness and intercultural understanding. The school has initiated several student exchange programs and global projects in collaboration with international institutions. These programs enable students to appreciate diversity, collaborate globally, and gain confidence in a multicultural environment.

6. Strong Value System

Education without values is incomplete. OPG World School incorporates moral education and value-based learning into everyday curriculum. Students learn the importance of honesty, respect, empathy, and responsibility—values that help them become better citizens.

Morning assemblies, special lectures, value education periods, and community service projects help instill these values in every learner.

A Safe and Inclusive Environment

Safety is a top concern for any parent. OPG World School ensures complete safety through:

CCTV surveillance across the campus

Verified transport systems with GPS-enabled buses

Female staff for transport and primary years

Medical room with trained nurse

Regular emergency drills and awareness programs

Inclusivity is another pillar of OPG. The school welcomes students from all backgrounds and offers equal learning opportunities irrespective of gender, ability, or economic status.

Admission Process and Parent Engagement

Getting your child admitted to one of the top schools in Dwarka is a decision that involves both practical and emotional factors. OPG World School has a transparent and parent-friendly admission process. The school’s admissions team guides parents at every step—from campus tours to documentation and orientation sessions.

Additionally, the school fosters strong parent-teacher relationships. Regular PTMs, parent orientation programs, and open channels of communication ensure that parents are always involved in their child’s educational journey.

Testimonials from the OPG Community

“OPG is not just a school, it’s a second home for my child. The care, attention, and holistic learning environment have helped my daughter blossom into a confident and curious learner.” — Mrs. Anjali Sharma, Parent of Class V Student

“As a teacher, I feel proud to be part of an institution that values innovation, teamwork, and respect. OPG’s leadership and faculty share a deep commitment to education.” — Mr. Rakesh Kumar, Faculty Member

Conclusion:

When searching for the top CBSE schools in Dwarka, there are many good options. However, OPG World School brings together the best of academics, character-building, and futuristic learning. It’s not just about getting good grades—it’s about developing confident, ethical, and capable individuals ready to take on the world.

Whether you're comparing top schools in Dwarka Mor or the broader top schools in Dwarka Delhi, OPG World School deserves your attention.

FAQs

1. What are the top schools in Dwarka for CBSE education?

Parents looking for CBSE curriculum often ask this. OPG World School is one of the top CBSE schools in Dwarka known for academic excellence and holistic development.

2. Which is the best school in Dwarka for overall development?

For all-round growth—academics, sports, and values—OPG World School ranks among the best schools in Dwarka Delhi.

3. Are there good schools near Dwarka Mor with CBSE affiliation?

Yes, OPG World School is a top choice near Dwarka Mor, offering quality CBSE education from pre-primary to senior secondary.

4. What facilities do top schools in Dwarka offer?

Top schools like OPG World School offer smart classrooms, modern labs, sports infrastructure, safety systems, and co-curricular activities for holistic learning.

5. How can I get admission in a top CBSE school in Dwarka?

Admission at top schools in Dwarka, like OPG World School, usually involves filling an online form, campus visit, and interaction with the admissions team.

[class11maths]

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

[sncec]

Class 10th Notes with NCERT Solutions in English

Class 10th Notes with NCERT Solutions in English (PDF, MS Word) 1. Hindi 2. English 3. Maths 4. Science 5. Social Science

[sarthaks24]

Top Quizard Trivia Games for Class 7 Students

Class 7 is a crucial stage in every student’s academic journey, laying the foundation for higher studies. a, but don’t worry! Sarthaks eConnect provides free NCERT Solutions to help you grasp concepts easily, improve problem-solving skills, and score better in exams.

We offer step-by-step, well-structured, and exam-focused NCERT solutions for all subjects, ensuring a seamless learning experience. Let’s explore how these solutions can help you!

1. Class 7 Maths NCERT Solutions – Master Every Concept with Ease

Mathematics is all about logic, practice, and clarity. If you find topics like integers, fractions, algebra, or geometry difficult, our NCERT Solutions for Class 7 Maths will simplify them for you!

Key Features:a

✔ Step-by-step solutions for all NCERT textbook exercises. ✔ Covers fractions, decimals, algebra, geometry, data handling, and more. ✔ Simple and logical explanations to improve problem-solving skills. ✔ Helpful for homework, school tests, and final exams.

Why use it? By practicing our NCERT Class 7 Maths Solutions, you will develop a strong foundation that will help in higher classes and competitive exams like JEE.

2. NCERT Solutions for Class 7 Science – Make Science Fun & Interesting!

Science is exciting when understood properly! Our Class 7 Science NCERT Solutions cover Physics, Chemistry, and Biology in a clear and concise manner.

Key Features:

✔ Chapter-wise solutions for all Science topics, from Nutrition in Plants and Animals to Electricity, Motion, and Acids & Bases. ✔ Diagrams and illustrations to make learning more visual and engaging. ✔ Simple and real-life examples for better concept clarity. ✔ Best for homework help, concept revision, and exam preparation.

Why use it? Science is the gateway to future careers in engineering, medicine, and research. With our NCERT Solutions for Class 7 Science, you will develop scientific thinking and analytical skills.

3. NCERT Solutions for Class 7 Social Science – Simplifying History, Geography & Civics

Social Science can seem like a lot of reading, but it’s actually fascinating and useful when understood well. Our NCERT Solutions for Class 7 Social Science cover History, Geography, and Civics, making learning engaging and stress-free.

Key Features:

✔ Covers History, Geography, and Civics with easy-to-understand explanations. ✔ Summarized answers to important historical events, geographical concepts, and government functions. ✔ Helps in understanding map work, timelines, and case studies. ✔ Great for revision before exams.

Why use it? By using our NCERT Solutions for Class 7 Social Science, you can better understand society, governance, and world geography, which will be useful in higher studies and competitive exams like UPSC.

Quizard Trivia

Are you ready to challenge your mind and discover fascinating facts? Whether you're a trivia master or just starting your journey into the world of quizzes, there's something for everyone! Dive into general knowledge questions, test your expertise with science GK questions, or have some fun with an engaging anime quiz.

🧠 General Knowledge Questions – Expand Your Horizons

Step into a world of wisdom with gk questions with answers that cover everything from history and geography to current affairs. Whether you're preparing for an exam or just want to impress your friends with random facts, these quizzes will keep your knowledge sharp!

🔬 Science Quiz – Explore the Wonders of the Universe

Curious about the mysteries of physics, chemistry, and biology? A thrilling science quiz will challenge your understanding of the natural world. Learn about the human body, space, and groundbreaking inventions in an interactive way!

➗ Math Quiz – Numbers Made Fun

Think you're a math whiz? Put your problem-solving skills to the test with a math quiz! From tricky algebra puzzles to mind-bending probability questions, these quizzes make numbers more exciting than ever.

🎌 Anime Quiz – For the True Otakus

Calling all anime lovers! Whether you're a fan of classic series or the latest trending shows, an anime quiz lets you prove your knowledge. Can you recognize characters just by their silhouettes? Do you remember famous anime quotes? Take the challenge and find out!

🌍 Science GK Questions – Discover the Secrets of the World

Looking for an extra dose of fun learning? Science GK questions blend curiosity with education, helping you explore fascinating facts about space, nature, and technology. Perfect for students and trivia lovers alike!

So, are you ready to dive into the ultimate quiz experience? Challenge yourself, learn something new, and have fun along the way! 🚀

[tanya382sharma]

NCERT Solutions for Class 2  | Free PDF for Maths, English, and Hindi

Explore free NCERT Solutions for Class 2, covering important chapters in Maths, English, and Hindi. These solutions offer simple explanations and exercises to help students develop strong academic skills. Download Class 2 NCERT PDFs for easy access and effective study.

[inversetrigonometricfunctions]

00:00:00 Introduction for inverse trigonometry identities

00:03:34 Derivation of all inverse trigonometric identities

00:15:14 NCERT Solutions Exercise 2.2 Question 1

00:20:04 NCERT Solutions Exercise 2.2 Question 2

00:21:34 NCERT Solutions Exercise 2.2 Question 3

00:23:44 NCERT Solutions Exercise 2.2 Question 4

00:27:54 NCERT Solutions Exercise 2.2 Question 6

00:34:54 NCERT Solutions Exercise 2.2 Question 7

00:36:24 NCERT Solutions Exercise 2.2 Question 8

00:38:54 NCERT Solutions Exercise 2.2 Question 5

00:42:54 NCERT Solutions Exercise 2.2 Question 9

00:45:44 NCERT Solutions Exercise 2.2 Question 10

00:48:54 NCERT Solutions Exercise 2.2 Question 11

00:50:24 NCERT Solutions Exercise 2.2 Question 12

00:51:04 NCERT Solutions Exercise 2.2 Question 13

00:52:54 NCERT Solutions Exercise 2.2 Question 14

00:54:44 NCERT Solutions Exercise 2.2 Question 15

00:59:54 NCERT Solutions Exercise 2.2 Question 16

01:01:24 NCERT Solutions Exercise 2.2 Question 17

01:03:04 NCERT Solutions Exercise 2.2 Question 19

01:04:24 NCERT Solutions Exercise 2.2 Question 20

01:05:34 NCERT Solutions Exercise 2.2 Question 21

01:07:04 NCERT Solutions Exercise 2.2 Question 18

Detailed explanation of 'how to drive identities of Inverse Trigonometric Functions' and questions related to NCERT Solutions for Exercise 2.2 of Inverse Trigonometric Functions Class 12 Maths Chapter 2.

💎 Purchase the Class 12 Maths Membership for full access to video lectures, notes, and assignments: https://mathyug.com/class-12-maths

[friendtutor]

📥 Download Class 10 Real Numbers Ex 1.1 PDF | CBSE NCERT Solutions + Handwritten Notes

Are you preparing for the CBSE Class 10 Board Exam 2025? Start strong with Chapter 1 – Real Numbers – one of the most important topics in Maths. Whether it's Euclid’s Lemma, HCF/LCM, or irrational numbers, this chapter forms the base for many questions.

📥 Free PDF Download Get beautifully handwritten notes, NCERT solutions, and shortcut tricks – all in one easy-to-read PDF!

🧠 What’s Covered:

Euclid’s Division Lemma

Fundamental Theorem of Arithmetic

Prime Factorization, HCF & LCM

Proofs of irrational numbers (like √2)

Full solutions for Ex 1.1, 1.2,

Perfect for last-minute revision and full understanding!

📲 Stay Updated!

Join my WhatsApp Channel for more free notes, quizzes, and updates: 👉 https://whatsapp.com/channel/0029Va5XgtE5K3zd959zz12u

[studymaterialdhruba]

How to Study for JEE: A Complete Guide for Aspiring Engineers

Preparing for the Joint Entrance Examination (JEE) can feel like a massive challenge. But with the right strategy and mindset, it’s absolutely possible to conquer this exam and get into your dream engineering college. Whether you're preparing for JEE Main or JEE Advanced, here’s a step-by-step guide to help you study effectively.

1. Understand the Syllabus and Exam Pattern

Before diving into preparation, it's important to know what you're preparing for. The JEE syllabus is based on the NCERT curriculum for Classes 11 and 12, covering Physics, Chemistry, and Mathematics. You should:

Download the latest syllabus from the official JEE website.

Break down the topics subject-wise and categorize them into easy, moderate, and difficult based on your understanding.

Familiarize yourself with the exam pattern: JEE Main has multiple-choice questions (MCQs) and numerical-based questions, while JEE Advanced has a mix of MCQs, numerical, and match-the-columns types.

2. Create a Realistic Study Plan

A well-structured plan is crucial for JEE preparation. Here's how to make one:

Time management: Set a timetable allocating specific time for each subject daily. Focus on balancing all three subjects—Physics, Chemistry, and Math.

Set daily and weekly goals: Break the syllabus into smaller portions and set achievable goals. Prioritize understanding the concepts over just memorizing formulas.

Revision time: Dedicate at least an hour every day to revising what you've learned.

3. Focus on Concepts

JEE isn’t just about mugging up formulas; it tests your conceptual clarity and problem-solving abilities. Here’s what you can do:

Start with NCERT textbooks: For JEE Main, NCERT textbooks for Physics, Chemistry, and Mathematics are your foundation. They explain concepts in a clear and easy way.

Reference books: For more in-depth understanding and practice, use additional books like:

Physics: "Concepts of Physics" by H.C. Verma

Chemistry: "Organic Chemistry" by O.P. Tandon

Mathematics: "IIT Mathematics" by M.L. Khanna

Avoid skipping topics: Even if some topics seem hard, try to cover them since every mark counts in JEE.

4. Practice, Practice, Practice

The key to success in JEE is regular practice.

Solve previous years’ question papers: This helps you understand the type of questions asked and gives insight into the exam pattern.

Mock tests: Take timed mock tests regularly to simulate the exam environment and improve speed and accuracy. It also helps in identifying your weak areas.

Solve sample papers: The more problems you solve, the better your problem-solving speed and accuracy become.

5. Strengthen Your Problem-Solving Skills

JEE is all about smart problem-solving. Here’s how you can boost these skills:

Work on understanding the problem rather than jumping to a solution.

Use shortcut methods only when you have mastered the basics. Shortcut formulas can save time, but only if you have a solid understanding of the concepts.

Don’t spend too much time on one question during practice. If you’re stuck, move on to the next and revisit it later.

6. Time Management During the Exam

While solving questions during JEE, time management is critical.

Attempt easier questions first: This boosts your confidence and ensures that you get marks in areas you are comfortable with.

Divide your time effectively: Allocate time to each section (Physics, Chemistry, Math) and avoid spending too much time on one subject.

Don’t panic if you get stuck: Stay calm and move on to the next question if a particular one is taking too long.

7. Stay Healthy and Take Breaks

Studying for long hours without rest can lead to burnout. Here’s how to maintain balance:

Take short breaks: After studying for 1-2 hours, take a 10-15 minute break to refresh your mind.

Get enough sleep: Sleep for 7-8 hours every night to keep your brain sharp.

Eat healthy food: Avoid junk food and maintain a balanced diet to stay energetic and focused.

8. Seek Help When Needed

If you’re struggling with certain topics, don’t hesitate to ask for help. You can:

Join coaching classes for expert guidance and additional study materials.

Watch online lectures on YouTube or educational platforms like Unacademy or Byju’s.

Form a study group with friends to discuss difficult problems and explain concepts to each other.

9. Stay Positive and Motivated

JEE preparation can be stressful, but staying motivated is key to success.

Celebrate small achievements: When you complete a topic or solve a tricky problem, reward yourself.

Stay consistent: Even if progress seems slow at times, trust the process. Consistency is more important than cramming at the last moment.

Stay away from distractions like social media, games, or TV during your study hours.

Looking for the best JEE Main coaching in Siliguri? Career & Courses offers expert guidance, personalized study plans, and comprehensive resources to help you excel in JEE Main. With experienced faculty, regular mock tests, and a focused approach, we ensure your path to success in the competitive JEE examination.

Final Thoughts

Preparing for JEE is a marathon, not a sprint. With determination, hard work, and smart preparation strategies, you can crack the exam. Focus on understanding concepts, practicing regularly, and maintaining a healthy balance between studies and relaxation. Stay positive, and remember—every small step you take brings you closer to your dream of becoming an engineer.

[doubtout]

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials is the second chapter of Class 9 Maths. Polynomials are introduced and discussed in detail here. The chapter discusses Polynomials and their applications. The chapter’s introduction includes whole numbers, integers, and rational numbers.

[ashishkumarletslearn]

Class 12 Maths Exercise 1.1 | Relations and Functions - MathYug

Delve into the realm of Relations and Functions in Class 12 Maths with MathYug's expert teacher Ashish Kumar, fondly known as Agam Sir. In this comprehensive video lecture, we unravel the complexities of NCERT Exercise 1.1, exploring empty relations, universal relations, and more.

Timestamps:

00:00:05 Introduction and How Ashish Sir is going to teach you Class 12 Maths on MathYug

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 an 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 the sister of b} is the empty relation and R′ = {(a, b) : the difference between the 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 the 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 the 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)

Join us as we embark on a journey to master Class 12 Maths, guided by Agam Sir's expertise.

[class11maths]

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