Mathematics Class 12th

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About Course

This comprehensive Mathematics online course for Class 12 is designed specifically for CBSE and RBSE Board exam success, focusing on high-weightage topics and advanced problem-solving techniques essential for scoring 95+ marks.

The course covers the complete syllabus across both streams: Relations & Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity & Differentiability, Applications of Derivatives, Integrals, Applications of Integrals, Differential Equations, Vector Algebra, 3D Geometry, Linear Programming, and Probability—aligned perfectly with the latest exam patterns of both boards.

Through structured video lessons, NCERT solutions, PYQ analysis (previous 10 years’ board papers), chapter-wise mock tests, and special focus sessions on JEE/competitive exam-level questions, students master both board exam formats (MCQs, assertion-reasoning, case-based) and develop the analytical skills needed for top ranks. Ideal for students aiming for scholarships, NIT admissions, and strong engineering/medical entrance preparation alongside board excellence.

CONTENTS OF THE COURSE

Chapter 1        Relations and Functions
Chapter 2        Inverse Trigonometric Functions
Chapter 3        Matrices
Chapter 4        Determinants
Chapter 5        Continuity and Differentiability
Chapter 6        Application of Derivatives
Chapter 7        Integrals
Chapter 8        Applications of Integrals
Chapter 9        Differential Equations
Chapter 10      Vector Algebra
Chapter 11     Three Dimensional Geometry
Chapter 12     Linear Programming
Chapter 13     Probability

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What Will You Learn?

  • This online Mathematics course for Class 12 is designed to fully support students preparing for both CBSE and RBSE Board examinations. It focuses on building strong concepts, accurate problem-solving skills, and exam-oriented practice in a simple, structured way.

Course Content

Chapter 1 Relations and Functions
Relations and Functions serves as the cornerstone of Class 12 Mathematics, introducing the fundamental concepts that underpin calculus, coordinate geometry, and advanced mathematical analysis essential for board exams and competitive preparation. This chapter systematically explores relations—from basic types (empty, universal) to advanced properties (reflexive, symmetric, transitive, equivalence relations)—and their applications through equivalence classes and partitions. Students master functions classification (one-one/injective, onto/surjective, bijective), composition of functions (gof ≠ fog), and invertible functions, building analytical skills crucial for 6-mark board questions. Through this online course module, you'll conquer proof-based problems, function verification questions, equivalence relation applications, and composition exercises with step-by-step video solutions, NCERT textbook coverage, and board-pattern practice tests. Perfect preparation for the high-weightage opening chapter that sets the foundation for differentiation, integration, and vector algebra in subsequent units.

Chapter 2 Inverse Trigonometric Functions

Chapter 3 Matrices

Chapter 4 Determinants

Chapter 5 Continuity and Differentiability

Chapter 6 Application of Derivatives

Chapter 7 Integrals

Chapter 8 Application of Integrals

Chapter 9 Differential Equations

Chapter 10 Vector Algebra

Chapter 11 Three Dimensional Geometry

Chapter 12 Linear Programming

Chapter 13 Probability

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By Prof. JOGENDRA SINGH SIR

Learning often happens in classrooms but it doesn’t have to.

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