Class 12 Bihar Board Maths (गणित) Half Yearly Marathon | Class 12 Maths | By Ravi Ranjan Sir

📚 Class 12 Bihar Board Maths (गणित) Half Yearly Marathon 2026 mein aapki Half Yearly Exam ki preparation hogi aur bhi strong! Is marathon mein Ravi Ranjan Sir ke saath Class 12 Maths / गणित ke important chapters, concepts, formulas aur exam-oriented questions ka focused revision karaya jayega. Agar aap Bihar Board Class 12 Commerce ke student hain aur Half Yearly Exam mein achhe marks score karna chahte hain, to ye marathon aapke liye bahut helpful rahega. Is session mein VVI & IMP Questions, Important Questions, Important Formulas, Expected Questions, Subjective Questions aur Exam-Oriented Questions par focus kiya jayega. Class 12 Bihar Board Maths Half Yearly Exam ki preparation kar rahe students is marathon ke through apna syllabus revise kar sakte hain aur important questions ki practice bhi kar sakte hain. 🔥 Half Yearly Exam se pehle Maths ka complete revision karne ke liye is marathon ko zaroor dekhein. Agar aapko confusion hai ki Bihar Board Class 12 Maths mein kya padhein, kaun se questions important hain aur Half Yearly Exam ki preparation kaise karein, to Ravi Ranjan Sir ka ye marathon aapke liye kaafi useful rahega. ---------------------------------------------------------------- ✅Get Free Notes in Kautilya Commerce Bihar Class 12th 2027 : - https://physicswallah.onelink.me/ZAZB... 🔴Parishram Bihar Board 12th Commerce 2027 (English + Hindi Medium): - https://physicswallah.onelink.me/ZAZB... 🔴Parishram PRO Bihar Board 12th Commerce 2027 (English + Hindi Medium):- https://physicswallah.onelink.me/ZAZB... 🔴Parishram 2.0 Bihar Board 12th Commerce 2027 (English + Hindi Medium) https://physicswallah.onelink.me/ZAZB... ---------------------------------------------------------------- Is video mein aap Class 12 Maths ke important concepts, formulas aur questions ko easily revise kar sakte hain, jisse aapki exam preparation strong hogi aur revision ke saath question practice bhi ho jayegi. Ye video Bihar Board Hindi Medium + English Medium Commerce students ke liye useful hai. 📌 Video Topics: • Class 12 Bihar Board Maths Half Yearly Marathon • Class 12 Maths Half Yearly Exam 2026 • Class 12 Maths VVI Questions • Class 12 Maths Important Questions • गणित Half Yearly Marathon • Bihar Board Class 12 Maths Revision • BSEB Class 12 Maths • Class 12 Commerce Half Yearly Exam • Class 12 Maths Important Formulas • Class 12 Maths Subjective Questions • Class 12 Maths Short & Long Questions • Maths Half Yearly Preparation By Ravi Ranjan Sir 🎯 Agar aapka target Half Yearly Exam mein achhe marks lana hai, to is marathon ko poora dekhein, important formulas aur questions ki practice karein aur Ravi Ranjan Sir ke saath apni Maths preparation ko next level par le jaayein. 00:00 – Marathon Introduction & Overview 04:03 – Chapter 1: संबंध एवं फलन | Relations & Functions 04:10 – Relations: Basics & Types 08:15 – Empty Relation | रिक्त संबंध 11:33 – Universal Relation | सार्वत्रिक संबंध 15:43 – Reflexive, Symmetric & Transitive Relations 28:44 – Relations MCQs & Practice Questions 55:05 – Functions: Introduction & Basics 01:05:25 – Types of Functions | One-One, Many-One, Onto & Bijective 01:18:27 – Functions: Important Questions & Verification 01:27:35 – Composition of Functions | fog & gof 01:31:20 – Chapter 2: प्रतिलोम त्रिकोणमितीय फलन | Inverse Trigonometry 01:31:36 – Trigonometry Basics Revision 01:34:00 – Inverse Trigonometry: Important Concepts 01:41:40 – Principal Value, Domain & Range 01:43:56 – Principal Value: Important Questions 01:52:08 – Important Properties & Formulas 01:57:28 – Practice Questions & Proofs 02:23:36 – Chapter 3: आव्यूह | Matrices 02:23:56 – Matrices: Order & Elements 02:34:40 – Types of Matrices | Row, Column, Square, Diagonal & Identity 02:44:00 – Matrix Operations | Addition, Subtraction & Scalar Multiplication 02:51:17 – Matrix Multiplication & Properties 02:58:12 – Transpose of Matrix 03:00:03 – Symmetric & Skew-Symmetric Matrices 03:05:04 – Matrices MCQs & Practice Questions 03:21:07 – Short Break 03:33:48 – Chapter 4: सारणिक | Determinants 03:34:26 – Determinants: 1×1, 2×2 & 3×3 03:47:23 – Area of Triangle using Determinants 03:59:36 – Minors & Cofactors 04:18:28 – Adjoint of Matrix 04:25:25 – Singular & Non-Singular Matrices 04:31:06 – Inverse of Matrix 04:37:40 – System of Linear Equations | Matrix Method 04:48:59 – Chapter 5: सांतत्य तथा अवकलनीयता | Continuity & Differentiability 04:49:13 – Continuity & Limits: Basic Concepts 04:53:38 – Continuity: Important Questions 05:07:05 – Rules of Differentiation 05:09:05 – Chain Rule | श्रृंखला नियम 05:15:16 – Implicit Differentiation 05:17:54 – Inverse Trigonometric Functions: Differentiation 05:23:10 – Exponential & Logarithmic Differentiation 05:36:25 – Parametric Differentiation 05:43:20 – Second Order Derivatives #BiharBoard #Class12Maths #Maths #BiharBoardMaths #HalfYearlyMarathon #Class12Commerce #BSEB #गणित #BiharBoard2026 #RaviRanjanSir #ImportantQuestions #VVIQuestions 6a5b150b86869e624997dac9