Summary
Free PDF of official NCERT Class 11 Maths answers covering all textbook exercises across Chapters 1–14, from Sets through Probability — no sign-up required.
This answer key provides final answers to every exercise in the NCERT Class 11 Mathematics textbook. It covers Exercises 1.1–1.5 and Miscellaneous Exercise (Chapter 1: Sets), Exercises 2.1–2.3 and Miscellaneous (Relations and Functions), Exercises 3.1–3.3 and Miscellaneous (Trigonometric Functions), Exercise 4.1 and Miscellaneous (Complex Numbers), Exercise 5.1 and Miscellaneous (Linear Inequalities), Exercises 6.1–6.4 and Miscellaneous (Permutations and Combinations), Exercise 7.1 and Miscellaneous (Binomial Theorem), Exercises 8.1–8.2 and Miscellaneous (Sequences and Series), Exercises 9.1–9.3 and Miscellaneous (Straight Lines), Exercises 10.1–10.4 and Miscellaneous (Conic Sections), Exercises 11.1–11.2 and Miscellaneous (Three Dimensional Geometry), Exercises 12.1–12.2 and Miscellaneous (Limits and Derivatives), Exercises 13.1–13.2 and Miscellaneous (Statistics), and Exercises 14.1–14.2 and Miscellaneous (Probability).
Key points & formulas
- 01Covers all 14 chapters: Sets, Relations and Functions, Trigonometric Functions, Complex Numbers, Linear Inequalities, Permutations and Combinations, Binomial Theorem, Sequences and Series, Straight Lines, Conic Sections, Three Dimensional Geometry, Limits and Derivatives, Statistics, and Probability.
- 02Includes answers to numbered exercises for each chapter — e.g., Exercises 1.1–1.5, 2.1–2.3, 3.1–3.3, 6.1–6.4, 8.1–8.2, 9.1–9.3, 10.1–10.4, 12.1–12.2, 13.1–13.2, and 14.1–14.2.
- 03Every chapter's Miscellaneous Exercise answers are included alongside the main exercises.
- 04Chapters with single main exercises (4, 5, 7, 11) still include their full Miscellaneous Exercise answers.
- 05Answers cover a range of question types: set notation, trigonometric identities, complex number arithmetic, inequality solution sets, permutation/combination counts, binomial expansions, sequence terms and sums, coordinate geometry equations, conic section parameters, 3D distance formulas, limits, derivatives, statistical measures (mean, variance), and probability values.
- 06Chapter 10 (Conic Sections) is the most exercise-dense section, with four main exercises covering circles, parabolas, ellipses, and hyperbolas.
- 07Chapter 12 (Limits and Derivatives) answers include both limit evaluations and derivative results for algebraic and trigonometric functions.
Frequently asked questions
01Is the NCERT Class 11 Maths answers PDF free to download?
Yes — the PDF is completely free and requires no sign-up or account. Click the Download button on this page to get the official NCERT answer key instantly.
02Which chapters are covered in the NCERT Class 11 Maths answer key?
All 14 chapters are covered: Sets, Relations and Functions, Trigonometric Functions, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations and Combinations, Binomial Theorem, Sequences and Series, Straight Lines, Conic Sections, Introduction to Three Dimensional Geometry, Limits and Derivatives, Statistics, and Probability.
03Does the answer key include Miscellaneous Exercise answers?
Yes — the Miscellaneous Exercise answers are included for every chapter alongside the answers to the numbered exercises.
04Where can I find answers to Exercise 10.3 (Ellipse) in NCERT Class 11 Maths?
Exercise 10.3 answers — covering foci, vertices, major/minor axes, eccentricity, latus rectum, and standard ellipse equations — are included in the Chapter 10 section of the answer key PDF on this page.
05Are the answers to Chapter 12 (Limits and Derivatives) included?
Yes — Exercise 12.1 (limit evaluations) and Exercise 12.2 (differentiation using first principles and rules) answers are both included, along with the Miscellaneous Exercise on Chapter 12.
06Does the NCERT Class 11 Maths answers PDF cover Chapter 14 Probability exercises?
Yes — Exercises 14.1 and 14.2 answers are included, along with the Miscellaneous Exercise on Chapter 14, covering sample spaces, events, and probability calculations.
07Where are the answers to the Sequences and Series exercises (Chapter 8)?
Chapter 8 includes answers for Exercise 8.1 (sequences: terms and series notation) and Exercise 8.2 (geometric progressions and sums), plus the Miscellaneous Exercise on Chapter 8.
08Can I find answers to all Straight Lines exercises (Chapter 9) here?
Yes — Exercises 9.1, 9.2, and 9.3 answers are all included, covering slope, various forms of line equations, distance from a point to a line, and the Miscellaneous Exercise on Chapter 9.
09Are the Permutations and Combinations answers (Chapter 6) complete?
Yes — the answer key covers Exercises 6.1, 6.2, 6.3, and 6.4, along with the Miscellaneous Exercise on Chapter 6.
10Does this PDF contain answers to the Sets chapter exercises (Chapter 1)?
Yes — answers for Exercises 1.1 through 1.5 and the Miscellaneous Exercise on Chapter 1 are all present, covering roster/set-builder form, subsets, power sets, interval notation, union, intersection, and complement.
More chapters in Mathematics
This is the complete Mathematics Chapter 17 as published by NCERT — every diagram, solved example, and exercise included, free. Browse all NCERT Class 11 textbooks.
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