Class 12 Maths NCERT Solutions — All 13 Chapters, Free | Boundless Maths

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Class 12 Maths
NCERT Solutions

CBSE 2026‑27 — All 13 Chapters, Every Exercise Solved Step-by-Step

Free, chapter-wise Class 12 Maths NCERT Solutions for CBSE 2026‑27 — every exercise question from the NCERT textbook, from Exercise 1.1 through each chapter's Miscellaneous Exercise, solved step-by-step in the exact method CBSE examiners expect. These solutions cover all 6 units and all 13 chapters of the CBSE Class 12 Maths syllabus — Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of the Integrals, Differential Equations, Vectors, Three-dimensional Geometry, Linear Programming, and Probability. Each chapter's solutions are organised exercise-by-exercise so you can jump straight to the question you're stuck on, understand exactly which formula or concept applies, and see the full working — not just the final answer. No sign-up required. Looking for the syllabus, sample papers, school exam papers, Formula Cards, the AI Question Bank, or coaching? Head back to the Class 12 Maths Hub for everything else.

All Chapters

Class 12 Maths NCERT Solutions — All 13 Chapters

Every exercise question from the NCERT textbook — from Exercise 1.1 through each chapter's Miscellaneous Exercise — solved step-by-step, in the exact method CBSE examiners expect, so you know precisely how to write each answer for full marks.

🎯 What's Included for Each Chapter

✓ Solutions to every NCERT exercise question   ✓ Step-by-step working as per the CBSE marking scheme   ✓ Miscellaneous exercise solutions   ✓ Clear explanation of the formula or concept used at each step

1

Relations and Functions

8 Marks

Types of relations & one-one/onto functions · Inverse Trigonometric Functions

2

Algebra

10 Marks

Matrices & matrix operations · Determinants, adjoint, inverse, and solving linear equations

3

Calculus

35 Marks

Continuity & Differentiability · Applications of Derivatives · Integrals · Applications of the Integrals · Differential Equations — the single highest-weightage unit in Class 12

4

Vectors and 3D Geometry

14 Marks

Vectors, dot & cross product · Direction cosines/ratios, lines in 3D, shortest distance between skew lines

5

Linear Programming

5 Marks

Objective function & constraints · Feasible regions · Graphical solution up to three non-trivial constraints

6

Probability

8 Marks

Conditional probability · Multiplication theorem · Independent events · Total probability · Bayes' theorem

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📐 Want Every Formula in One Place?

The Class 12 Maths Formula Cards cover every formula across all 6 units, in one concise, print-friendly reference — perfect for quick revision before any test or the board exam.

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The Class 12 Maths AI Question Bank gives you board-style questions across every unit with instant, step-by-step feedback — built directly from past CBSE board and sample papers.

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NCERT Solutions are just one part of a full board-exam prep toolkit. Everything else — syllabus, school exam papers, the Formula Cards, the AI Question Bank, and live coaching — lives on the Class 12 Maths Hub.

📋 Syllabus & Marks Weightage

Full CBSE 2026-27 syllabus, unit-wise marks distribution, and the exact exam pattern.

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📌 School Exam Papers

Unit Test, Half Yearly and Annual exam papers, organised by exam type.

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Common Questions

Frequently Asked Questions

Quick answers about these NCERT Solutions. For syllabus, exam pattern, papers, or coaching questions, see the full details on the Class 12 Maths Hub.

How many chapters are there in CBSE Class 12 Maths for 2026‑27?
The CBSE Class 12 Maths syllabus 2026‑27 has 13 chapters across 6 units — Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of the Integrals, Differential Equations, Vectors, Three-dimensional Geometry, Linear Programming, and Probability. All 13 are solved on this page.
Which unit carries the highest weightage?
Calculus carries by far the highest weightage — 35 of the 80 theory marks — spread across five chapters: Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of the Integrals, and Differential Equations. Vectors and Three-Dimensional Geometry follows at 14 marks.
Are the NCERT Solutions on this page free?
Yes. Every chapter-wise NCERT Solution on this page is completely free to access, with no sign-up required.
Why does Calculus jump from 8 marks in Class 11 to 35 marks in Class 12?
Class 11 Calculus (Limits and Derivatives) is the conceptual foundation — just the idea of a limit and the definition of a derivative. Class 12 builds the full weight of Calculus on top of that foundation across five chapters: Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of the Integrals, and Differential Equations. Since Calculus alone is worth 35 of the 80 marks, being genuinely solid here matters more than any other unit for the board exam.
Is NCERT enough to score 90+ in the board exam?
NCERT is the foundation — CBSE sets exam questions directly based on it, so working through every example and exercise carefully is essential. The official textbook is published by the National Council of Educational Research and Training (NCERT) and is freely available at ncert.nic.in. Most 90+ scorers combine thorough NCERT practice with school exam papers, the AI Question Bank for timed practice, and consistent step-wise presentation to pick up full method marks.
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NCERT Solutions — All 13 Chapters

Step-by-step solutions to every NCERT exercise, chapter-wise — no sign-up required.

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Formula Cards — All 6 Units

Every formula for all units in one printable, concise reference — your board exam companion.

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Board-style questions across every unit with instant, step-by-step feedback.

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