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Class 12 Mathematics — Part 1

Part 1 is the NCERT-prescribed textbook for Class 12 Mathematics in the CBSE curriculum. It contains 8 chapters covering the complete syllabus. BrainWeave offers free AI-powered solutions for every chapter — ask any question by voice or text, in Hindi or English, and get a personalized step-by-step explanation.

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What you'll study in Part 1

Across 8 chapters, Class 12 Mathematics introduces key concepts including Empty and Universal Relations, Reflexive Relations, Symmetric Relations, Transitive Relations, Conditions for Inverse Functions, Inverse Sine Function (sin⁻¹x), Inverse Cosine Function (cos⁻¹x), Inverse Tangent Function (tan⁻¹x), Definition and Order of a Matrix, Constructing a Matrix, Types of Matrices: Row, Column, and Square, Types of Matrices: Diagonal, Scalar, and Identity, and more. Every chapter below has its own page with a full topic breakdown, practice questions, fun facts, and a free AI tutor that explains each concept in Hindi or English, by voice or text.

All Chapters

Chapter 1
Chapter 1: RELATIONS AND FUNCTIONS
Empty and Universal Relations · Reflexive Relations · Symmetric Relations · Transitive Relations
6 topics • Free AI tutor →
Chapter 2
Chapter 2: INVERSE TRIGONOMETRIC FUNCTIONS
Conditions for Inverse Functions · Inverse Sine Function (sin⁻¹x) · Inverse Cosine Function (cos⁻¹x) · Inverse Tangent Function (tan⁻¹x)
7 topics • Free AI tutor →
Chapter 3
Chapter 3: MATRICES
Definition and Order of a Matrix · Constructing a Matrix · Types of Matrices: Row, Column, and Square · Types of Matrices: Diagonal, Scalar, and Identity
6 topics • Free AI tutor →
Chapter 4
Chapter 4: Determinants
Determinant of a Square Matrix · Calculating Determinant of a 2x2 Matrix · Expansion of a 3x3 Determinant · Sign Convention for Expansion
8 topics • Free AI tutor →
Chapter 5
Chapter 5: CONTINUITY AND DIFFERENTIABILITY
Intuitive Concept of Continuity · Formal Definition of Continuity at a Point · Left-Hand and Right-Hand Limits in Continuity · Identifying Points of Discontinuity
7 topics • Free AI tutor →
Chapter 6
Chapter 6: APPLICATION OF DERIVATIVES
Rate of Change of Quantities · Related Rates · Increasing and Decreasing Functions · Tangents and Normals
7 topics • Free AI tutor →
Chapter 7
Chapter 7: PROOFS IN MATHEMATICS
The Structure of a Mathematical Proof · Direct Proof by Straightforward Deduction · Proof by Mathematical Induction · Proof by Cases (or Exhaustion)
6 topics • Free AI tutor →
Chapter 8
Chapter 8: Mathematical Modelling
Concept of Mathematical Modelling · The Process of Mathematical Modelling · Modelling using Trigonometry · Modelling with Matrices for Resource Allocation
9 topics • Free AI tutor →

Frequently Asked Questions

How many chapters are in Class 12 Mathematics?

Part 1 for Class 12 Mathematics has 8 chapters. All are covered by BrainWeave's free AI tutor.

Is BrainWeave's Class 12 Mathematics content free?

Yes. The free Spark plan covers all chapters with daily message limits suitable for homework. Premium features unlock with your own free Gemini API key.

Can I ask Mathematics questions in Hindi?

Yes — both voice and text chat support Hindi, English, and Hinglish.

Are these solutions aligned with the latest CBSE syllabus?

Yes, BrainWeave follows the current NCERT syllabus and is updated as the syllabus changes.

Need help with a specific chapter?

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