Exercise Files
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.
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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
