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CBSE Class 12 Mathematics — Mathematics Part II Revision Kit

Every result of Chapters 7–13 with its condition: the integral tables, properties P0–P7, area, the three DE methods, dot and cross products, line and shortest-distance forms, corner points, Bayes' theorem.

  • Space weighted by unit marks
  • Charts from the book's own data
  • Traps corrected
  • Final test with answers

What is inside

  1. 1Mathematics Part II, on seven pages — Ch 7–13 · integrals to probability · every result with its condition, every pattern the board repeats
  2. 2Integrals I: every indefinite form — Ch 7 Integrals (p. 225–258) · Unit III Calculus · 35 marks across the four papers, the most-asked chapter here
  3. 3Integrals II and Area — Ch 7 by parts, definite integrals (p. 259–291) · Ch 8 Application of Integrals (p. 292–299) · Unit III Calculus
  4. 4Differential equations — Ch 9 Differential Equations (p. 300–337) · Unit III Calculus · order, degree and three methods of solving
  5. 5Vector algebra — Ch 10 Vector Algebra (p. 338–376) · Unit IV Vectors and 3-D Geometry (14 marks with Ch 11) · 23 marks across the four papers
  6. 6Three-dimensional lines and linear programming — Ch 11 Three Dimensional Geometry (p. 377–393) · Unit IV · Ch 12 Linear Programming (p. 394–405) · Unit V (5 marks)
  7. 7Probability, then the final check — Ch 13 Probability (p. 406–437) · Unit VI (8 marks) · conditional probability, independence, Bayes · revision plan and a 14-question test

How to revise with it, page by page

Day 1Page 1: the marks map, ten must-know facts and a two-minute self-check.
Days 2–4Pages 2–5 one at a time; close the page and redo its traps before moving on.
Days 5–6Pages 6–7 and the final test, timed; mark every miss.
Day 7Re-read only the lines behind your misses, then attempt the textbook exercises.

Use it alongside the textbook, not instead of it.

What went into these seven pages

Written from the primary documents, not from other people's notes:

  • NCERT Mathematics Part II (Class 12) and the CBSE Class 12 Mathematics curriculum 2026–27.
  • Audited twice before printing: gpt-5.4 + ChatGPT. Every flagged line was checked against the NCERT textbook and fixed or kept with the book's page; where the book itself misprints a value the kit says so. AI reviews are editorial aids, not official certification.

Original revision material; not an official CBSE or NCERT publication.

Questions

Is it only for the last week before the exam?

No. It is a cheatsheet of the important points, formulas and facts. Keep it on your phone and use it all through your preparation: before a mock, when a topic slips, and for one full read in the final days.

How do I get it after paying?

It's yours the moment the payment clears, and you come straight back to this page with Download and Read buttons. It stays in your ProSyllabus account.

Will the kit be updated after I buy it?

Yes. We regularly correct and improve our kits as syllabi, notifications and exam patterns change. Each time you download from this page you get the latest version, at no extra cost — so check back here from time to time, and download it again before your exam.

Can I pay with UPI?

Yes — UPI, cards or netbanking on a secure payment page. If you already have ProSyllabus credits, they are used instead and nothing is charged.

Which book and session is this for?

CBSE Class 12 Mathematics (subject code 041), NCERT Mathematics Part II, 2026–27 curriculum. One kit covers one book.

What does the purchase include?

One seven-page PDF, including the free first page. The other six pages unlock after payment.

Is this an official CBSE or NCERT publication?

No. These are independent study notes by ProSyllabus, not affiliated with or endorsed by NCERT or CBSE. Page references (p. N) are to the 2026-27 NCERT textbook, so you can open the book at the exact page. Use it alongside the textbook; it does not replace it or guarantee a score.

How was it checked?

Audited twice before printing: gpt-5.4 + ChatGPT. Every flagged line was checked against the NCERT textbook and fixed or kept with the book's page; where the book itself misprints a value the kit says so. AI reviews are editorial aids, not official certification.

What does this kit cover?

Every result of Chapters 7–13 with its condition: the integral tables, properties P0–P7, area, the three DE methods, dot and cross products, line and shortest-distance forms, corner points, Bayes' theorem.

Found a mistake? Report it — if we accept it, we fix the kit for every buyer and thank you by name on this page.

Independent study notes by ProSyllabus. Not affiliated with or endorsed by NCERT. Page references are to the 2026-27 NCERT textbook.