#PYQ Mathematics Class 12

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10 Year question bank CBSE PYQ Class 12 Mathematics | 2025 Board exams

Together with PYQ Class 12 Mathematics is the best Previous 10 Years Question Bank for 2025 CBSE Board exams. Most anticipated questions are included in PYQ Mathematics Class 12 as per latest trends and pattern. Topic-wise Solved Question Bank with different typologies of questions give additional hours of learning. CBSE PYQ Class 12 Maths, based on latest syllabus with Chapter-wise Mind Maps, year-wise & marks-wise questions fortify the exam preparation.

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📘 Modulus of a Complex Number – Concept, Properties & JEE Applications

Understanding the modulus of a complex number is essential for mastering the chapter Complex Numbers in Class 11 Mathematics, and it plays a significant role in JEE Main and Advanced. Whether you’re using Cengage, Arihant, or RD Sharma, modulus forms the base for many key concepts and questions. In this blog post, we’ll break it down with a clear explanation, properties, geometric insight, and a…

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📘 Modulus of a Complex Number – Concept, Properties & JEE Applications

Understanding the modulus of a complex number is essential for mastering the chapter Complex Numbers in Class 11 Mathematics, and it plays a significant role in JEE Main and Advanced. Whether you’re using Cengage, Arihant, or RD Sharma, modulus forms the base for many key concepts and questions. In this blog post, we’ll break it down with a clear explanation, properties, geometric insight, and a…

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Complete Roadmap to Crack NDA 2 2025

Fully Described Guidance on Complete Roadmap to Crack NDA 2 2025 by Best defence academy in Lucknow – Shield Defence Academy

Cracking the NDA 2 2025 examination requires a strategic roadmap, expert mentoring, consistent discipline, and the right coaching partner and here we will provide you Roadmap to Crack NDA 2 2025. At Shield Defence Academy, the best defence academy in Lucknow, we offer a complete and structured plan for aspirants aiming to join the prestigious National Defence Academy (NDA). This comprehensive guide outlines the entire journey — from preparation to selection — helping you achieve your dream of serving the nation.

Why Choose Shield Defence Academy in Lucknow for NDA 2 2025 Preparation

Choosing the right academy is the first critical step in NDA success. Shield Defence Academy, located in the heart of Lucknow, is trusted by thousands of aspirants across India for several compelling reasons:

Highly experienced faculty from Defence and academic backgrounds

Regular SSB training and personality development sessions

Fully equipped library and e-learning resources

Affordable hostel and mess facilities for outstation students

Discipline-oriented environment replicating military culture

Understanding NDA 2 2025 Exam Structure

Before diving into the preparation, one must understand the exam pattern of NDA 2 2025, conducted by UPSC.

Written Examination

Paper I – Mathematics

Duration: 2.5 Hours

Total Marks: 300

Syllabus: Algebra, Trigonometry, Calculus, Probability, Statistics, Geometry, etc.

Paper II – General Ability Test (GAT)

Duration: 2.5 Hours

Total Marks: 600

Syllabus: English (200 marks) and General Knowledge (400 marks)

Includes: Physics, Chemistry, History, Geography, Current Affairs, General Science

SSB Interview

Total Marks: 900

Stages: Screening (PPDT), Psychological Test, GTO Tasks, Personal Interview, Conference

Conducted over 5 days

12-Month Strategic Roadmap to crack NDA 2 2025 at Shield Defence Academy

Month 1-3: Foundation Building

Focus: Strengthening core concepts of Class 11 & 12 (Mathematics and Science)

Action Plan:

Daily classes with topic-wise assignments

Vocabulary enhancement and grammar drills for English

Daily current affairs updates with analysis

Introduction to defence awareness topics

Weekly tests and doubt-clearing sessions

Month 4-6: Subject Mastery & Speed Enhancement

Focus: Time management, mock test practice, syllabus coverage

Action Plan:

Rigorous mock tests with OMR practice

PYQ (Previous Year Questions) solving workshops

Daily English reading and comprehension classes

Physics and Chemistry formula charts for quick revision

Weekly SSB orientation classes (PIQ Form Filling, PPDT, Group Discussions)

Month 7-9: Intensive Testing & SSB Skill Development

Focus: Revision, application-based learning, interview readiness

Action Plan:

Bi-weekly full-length NDA mock tests (with evaluation)

GTO Ground Activities with real-time simulations

Personal interview grooming by Ex-SSB assessors

Psych test practice (WAT, TAT, SRT)

Leadership and group task performance tracking

Month 10-12: Final Touch – NDA Exam + SSB Ready

Focus: Final polishing of written + SSB

Action Plan:

Revision boot camps

Final SSB interview crash course (intensive 15-day schedule)

Confidence-building exercises

Final mock interviews and individual feedback

Stress management and performance under pressure sessions

Daily Routine for NDA Aspirants at Shield Defence Academy

We believe discipline is the DNA of defence. A structured daily timetable ensures mental and physical preparedness.

5:30 AM – Morning PT and jogging

7:00 AM – Breakfast and self-study

9:00 AM – 1:00 PM – Core academic classes (Maths, English, GK)

1:00 PM – 2:00 PM – Lunch break

2:00 PM – 4:00 PM – Practice sessions (Mock Tests / PYQs)

4:00 PM – 5:30 PM – SSB activity (GD, Lecturette, Group Task)

6:00 PM – 7:00 PM – Library / Self-revision time

7:00 PM – 8:00 PM – Dinner

8:00 PM – 9:00 PM – Daily current affairs and defence updates

10:00 PM – Lights off

Physical Fitness Training at Shield Defence Academy

NDA physical standards are as important as academics. Our in-house physical trainers conduct:

Morning PT sessions with obstacle training

Drill, running, push-ups, sit-ups, beam, balancing

Regular BMI, flexibility, and endurance evaluations

Mock physical standards testing for Army, Navy, and Air Force wings

SSB Training Excellence at Shield Defence Academy

Our SSB program is a game-changer. We prepare aspirants for:

Screening Tests: PPDT storytelling, narration, and group discussions

Psychological Tests: TAT, WAT, SRT, SD practice with expert evaluation

Group Tasks: GTO activities conducted at our own obstacle ground

Personal Interviews: Conducted by Ex-SSB officers with real-time feedback

We follow the exact 5-day SSB format, ensuring aspirants are mentally and physically prepared for every challenge.

Personal Mentoring and Doubt Support

Each student is assigned a personal mentor who:

Tracks academic progress

Conducts one-on-one sessions

Monitors physical improvement

Helps in psychological conditioning

Builds confidence through motivational sessions

Additional Support Services for NDA 2 2025 Aspirants

Hostel and Schooling Integration for 11th and 12th students

Online & Hybrid Classes with recorded lecture access

24×7 Helpline for Academic Assistance

Monthly Progress Reports shared with parents

Results That Speak on Roadmap to crack NDA 2 2025

Shield Defence Academy has produced over 1,000 NDA selections in the past 5 years. Our alumni serve in the Indian Army, Navy, and Air Force, upholding the honour of the nation and the academy.

We are not just preparing students to clear an exam — we are building the next generation of officers with integrity, intellect, and indomitable spirit.

Final Thoughts – Roadmap to crack NDA 2 2025 With Confidence

If your dream is to wear the olive green uniform and serve the country with pride, Shield Defence Academy is your best companion. With structured training, disciplined life, personal mentorship, and unmatched coaching excellence, your NDA 2 2025 success is guaranteed — provided you stay committed and consistent.

Join Shield Defence Academy – Best Defence Academy in Lucknow – and let us turn your dream into reality.

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Class 12 Maths | Application of Derivatives | CBSE/State Boards +2 Exams | JEE Mains, CUET Prep

Get ready to master one of the most crucial topics in Class 12 Mathematics — Application of Derivatives — with this focused and exam-oriented session designed for CBSE & State Board students, as well as aspirants of JEE Mains and CUET.

🎥 Watch now: https://youtu.be/yq14y-hTHRA?si=pbd-vryDzufVQJrM

This video is your complete guide to understanding how derivatives are applied in real-world and mathematical contexts. From finding tangents and normals to identifying increasing/decreasing functions, maxima & minima, and solving rate of change problems — this lesson is packed with conceptual clarity and problem-solving tricks.

📌 Key Concepts Covered:

Tangent and normal to a curve

Monotonicity: Increasing and decreasing functions

Local maxima and minima (first and second derivative tests)

Application-based problems from real-life contexts

Rate of change in physical quantities

We also solve exam-style problems, including JEE Mains PYQs, and questions relevant to CUET, State Board +2 Exams, and school-level assessments. The video includes visual explanations, tips to avoid common mistakes, and formulas you must remember.

This session is tailored to:

Students preparing for Board Exams (CBSE + State Boards)

Engineering entrance exam aspirants: JEE Mains, BITSAT, CUET, VITEEE

Learners aiming to strengthen conceptual understanding & score high in competitive exams

💡 Why This Video is a Must-Watch:

Step-by-step explanation of concepts

Tricks to solve MCQs faster in entrance exams

Revision of important formulas and strategies

Balanced approach for both boards and competitive preparation

Whether you're a Class 12 student aiming to ace your board exams or a competitive aspirant looking for precision and speed in problem-solving, this video will enhance your preparation and boost your confidence.

✅ Like, Share & Subscribe to SethiSwiftLearn for more powerful math sessions and subject-wise video support!

[nazmeenhussain]

For both GAT-B and IIT JAM, i got to know from my professors. Had no idea about the exam or it's benefits. I didn't know about TIFR or any other exam so didn't attempt. But since I was badly idle during the lockdown and almost had the idea to be with the crowd, to get married. So inorder to distract myself, i started preparing somewhere around September 2021. Till December, i sorted the question papers by knowing from the professors which question belongs to what Unit.

I picked up only past 5 years questions and analysed the physics and mathematics part. I got 90% confidence to leave physics completely because PYQs were far from my reach even though I had been revising my physics concepts regularly. It would have wasted my time.

Coming to Mathematics, it was evident from the questions that majority were upto class 10th level and from +2 portions, only statistics, probability and trigonometry looked important to me. I was a crammer and highly laborious student at school so it was not difficult for me to recall these portions. I only prepared this much in mathematics and attempted all the questions correctly in the exam. (Note: I didn't have maths as a subject in my +2)

Chemistry, i love this subject. My highest scores ever are in this subject yet i betrayed myself by not taking it up in my graduation. Anyways, i loved organic chemistry more than physical and inorganic. In the PYQs i analysed, they're asking more of organic chemistry and from physical chemistry, only Chemical kinetics part. So inorganic chemistry can be left blindly.

Biology, 12+1+2+3, i.e upto graduation level is required. I was lacking badly in my graduation level biology so i analysed the paper and prepared for only specific units like Recombinant DNA technology, microbiology, biotechniques, biochemistry (only Enzyme and kinetics) and basic immunology. (I later covered some more topics but gave more emphasis on these topics)

I had completely restricted myself to study the least. From my previous experiences of competitive exams i had realised that i should focus on minimum input and maximum output. So i was determined to prepare less but more efficiently. Only when I was done with the targeted portions i would try to touch other topics.

I created an MS Excel sheet to keep a check on my revision cycle for each topic.(I'll share on my stories someday, have to search for it) I did all this preparation only in my free time. Nothing like serious dedications. Making life easy away from the unnecessary stress about competition.

Rest was Allah's Miracle.

Find your own strategy, yourself.

All the best.

:)

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Ace the essential skills via Together with PYQ Mathematics Class 12 |10 years’ solved question papers

Together with CBSE Class 12 Mathematics Previous 10+ Years Solved Question Bank Exam with Chapter wise & Topic-wise questions give comprehensive coverage. CBSE PYQ Class 12 Mathematics, includes self-evaluation tests that gives an intrusive insights to the preparation status. Inclusion of Latest Examination Paper 2024 and the Competency Focussed Questions as per latest CBSE Circular, makes PYQ Class 12 Mathematics top notch.

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10 Year question bank CBSE PYQ Class 12 Mathematics | 2025 Board exams

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Mathematics Previous 10+ Years Question Bank| Chapter wise solved Question Bank | ‘Together with’ Question Bank Class 12

Mathematics Previous 10+ Years Question Bank has been designed as per the latest CBSE syllabus. Chapter wise solved Question Bank provides ample of questions from each chapter to practice from. ‘Together with’ PYQ Class 12 Mathematics for 2023 CBSE Board Exam has been prepared by a team of experts in the field of mathematics.