Mathematics Part II — Class 12 NCERT
Official National Council of Educational Research and Training (NCERT) Mathematics textbook for Class 12 (English Medium). Neeche poori chapter list, teacher notes aur FAQs — aur kitab NCERT ki official site se download karein, bilkul muft.
Download NCERT ke official portal par hota hai — ePathshala terms ke mutabiq, bina ijazat dobara upload ya hosting ki ijazat nahi.
Chapter Quiz
Kitab load hote waqt waqt guzarein — Mathematics Part II ke asbaaq par 5 sawal!
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Quiz ke sawalat NCERT ki official chapter titles par mabni hain — kitab ki malkiyat NCERT ki hai.
Is kitab ke baare mein
Mathematics Part II continues the NCERT Class 12 mathematics book from chapter 7 to chapter 13. It completes calculus with integrals, their applications and differential equations, then moves to vector algebra, three-dimensional geometry, linear programming and probability.
Note the book's own numbering: Part II chapters are numbered 7 to 13, continuing Part I. Together the two parts hold all 13 chapters of the rationalized 2026-27 syllabus — the single most problem-heavy subject of Class 12.
Poori chapter list (NCERT official)
7. Integrals
Indefinite and definite integrals — substitution, partial fractions, integration by parts
8. Application of Integrals
Area under curves — finding areas of regions bounded by lines and curves
9. Differential Equations
Forming differential equations and solving first-order, first-degree equations
10. Vector Algebra
Vectors and scalars, dot and cross products, scalar triple product
11. Three Dimensional Geometry
Direction cosines, equations of lines and planes in space, shortest distance
12. Linear Programming
Formulating LPPs and solving them graphically by the corner-point method
13. Probability
Conditional probability, Bayes' theorem, random variables and their mean
Ustad ka mashwara
Part II mein Integrals (ch 7) sab se zyada marks wala chapter hai (9 marks) — substitution aur by-parts ke 50-60 sawal karwaye baghair aage na barhein. Probability ka Bayes' theorem har saal aata hai; is ke tree-diagram bachchon se khud banwayein. Linear Programming graphical method copy par saaf-suthra banwana sikhayein — presentation ke marks hote hain.
— Rehman Ahmad Chaudhary, Head Teacher, GPS 117 DB(BJ), Yazman
Aksar pooche gaye sawalat
Mathematics Part II mein kaun se chapters hain?
Chapters 7 se 13 — Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Linear Programming aur Probability.
Part II ki numbering 7 se kyun shuru hoti hai?
Kyunki NCERT ki kitab mein dono parts ki musalsal numbering hai — Part I mein chapters 1-6 aur Part II mein 7-13.
Mathematics Part II ki PDF kahan se milegi?
Is page par "Official Download (NCERT Site)" ka button NCERT ki official site (ncert.nic.in) par le jata hai — wahan se muft download hoti hai.
Class 12 ki mazeed NCERT kitabein
Disclaimer
Ye kitab National Council of Educational Research and Training (NCERT), New Delhi ki official publication hai. PDFs NCERT ke official portal (ncert.nic.in) par host hoti hain aur wahi se download hoti hain — ePathshala terms ke mutabiq bina ijazat dobara upload ya hosting ki ijazat nahi. Ye page sirf chapter guide aur official download link faraham karta hai — malkiyat ka koi dawa nahi.