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CBSE Class 12 · NCERT exercises

NCERT Solutions for Class 12 Maths

Step-by-step solutions to the exercises in the NCERT Class 12 Mathematics textbook (rationalised edition), written by us and set out the way a board answer should be. Every numerical answer is re-checked by computer algebra before it goes live.

  • 13 of 13 chapters solved so far
  • Free, no sign-in
  • Try first: each solution opens on a tap

Chapters

We are adding chapters in NCERT order. Where a chapter's solutions are still to follow, its notes and board-style questions are already live.

Chapter 1 · Exercises 1.1, 1.2 + MiscRelations and Functions35 questions solved step by step · every answer computer-checkedChapter 2 · Exercises 2.1, 2.2 + MiscInverse Trigonometric Functions43 questions solved step by step · every answer computer-checkedChapter 3 · Exercises 3.1, 3.2, 3.3, 3.4 + MiscMatrices56 questions solved step by step · every answer computer-checkedChapter 4 · Exercises 4.1, 4.2, 4.3, 4.4, 4.5 + MiscDeterminants61 questions solved step by step · every answer computer-checkedChapter 5 · Exercises 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7 + MiscContinuity and Differentiability137 questions solved step by step · every answer computer-checkedChapter 6 · Exercises 6.1, 6.2, 6.3 + MiscApplication of Derivatives82 questions solved step by step · every answer computer-checkedChapter 7 · Exercises 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, 7.9, 7.10 + MiscIntegrals261 questions solved step by step · every answer computer-checkedChapter 8 · Exercise 8.1 + MiscApplication of Integrals9 questions solved step by step · every answer computer-checkedChapter 9 · Exercises 9.1, 9.2, 9.3, 9.4, 9.5 + MiscDifferential Equations98 questions solved step by step · every answer computer-checkedChapter 10 · Exercises 10.1, 10.2, 10.3, 10.4 + MiscVector Algebra73 questions solved step by step · every answer computer-checkedChapter 11 · Exercises 11.1, 11.2 + MiscThree Dimensional Geometry25 questions solved step by step · every answer computer-checkedChapter 12 · Exercise 12.1Linear Programming10 questions solved step by step · every answer computer-checkedChapter 13 · Exercises 13.1, 13.2, 13.3 + MiscProbability62 questions solved step by step · every answer computer-checked

How these solutions are different

  • Checked, not just typed. Every root, factorisation, HCF, LCM and discriminant is recomputed by computer algebra (sympy) from the question alone; a mismatch stops the page being published.
  • Written for step marks. Each line is a step an examiner looks for, with a tip wherever marks usually slip.
  • Then practise beyond the textbook. Every question links to original board-style questions on the same skill, with the step mark scheme.

Past the textbook: board-style practice

NCERT exercises are the foundation; the board paper asks more. Each chapter has original questions in every board style (MCQ, assertion–reason, case study) with step marks, plus the Route to 95 checkpoints.

Create a free accountAll Class 12 chaptersThe Route to 95 plan

The NCERT textbooks are free to read and download from ncert.nic.in. Question statements here are shortened to the minimum needed to follow the solution; the solutions are our own. CBSE Math Revision is independent and not affiliated with NCERT or CBSE.