CBSE Class 12 Maths Formula Handbook: Chapter‑wise NCERT Formulas with Calculus, Vectors & 3D, LPP, Probability—Quick Revision

Struggling to recall the right formula under exam pressure? Losing marks to small mistakes in domains, signs, or principal values? This handbook solves those buyer problems with a crisp, exam‑ready formula system tailored to the current CBSE Class 12 Mathematics syllabus.
What makes this a must‑have
Chapter‑wise formula sheets: All 13 chapters organized exactly in NCERT order for friction‑free study and revision.
High‑frequency formulas first: At‑a‑glance boxes deliver the most tested results before deeper lists and notes.
Board‑aligned, clutter‑free layout: Clean notation, minimal prose, and consistent structuring to speed up recall.
Exam traps and fixes: Domain checks, quadrant adjustments, sign/slope cues, and conditions of applicability called out next to formulas.
Night‑Before spreads: Two ultra‑compact summaries for Calculus and for Vectors–3D to stabilize last‑minute revision.
Plug‑and‑play templates: Tangent/normal equations, derivative tests, standard integrals, area between curves, LPP corner‑point steps, and probability frameworks.
What’s inside (chapter highlights)
Relations & Functions: Equivalence, one‑one/onto tests, composition and inverse rules with quick domain‑range cues.
Inverse Trigonometric Functions: Principal ranges, sum/difference reductions, quadrant corrections, and ready‑to‑apply tan⁻¹ identities.
Matrices & Determinants: Properties, adjoint/inverse, cofactor expansion, row/column operations, and Cramer’s Rule.
Continuity & Differentiability: Continuity tests, corner/cusp non‑differentiability, standard derivatives, chain/product/quotient rules, logarithmic differentiation.
Applications of Derivatives: Monotonicity charts, tangent/normal, optimization workflow, first/second derivative tests.
Integrals: Power/log/exp/trig integrals, substitution, by‑parts (LIATE), partial fractions, and standard forms
Applications of Integrals: Areas under/ between curves with axis‑switching and symmetry shortcuts.
Differential Equations: Order/degree, variable separable, linear first‑order with integrating factor, homogeneous substitution (y = vx), growth/decay models.
Vector Algebra: Magnitude/unit vectors, dot/cross products, area via a×b, direction ratios/cosines.
3D Geometry: Line (vector/cartesian), plane (point‑normal, intercept), distances, and angles
Linear Programming: Graphical method, feasible region, vertex evaluation, unique/multiple/unbounded/no‑solution cases.
Probability: Conditional probability, independence checks, total probability, Bayes’ theorem, discrete RVs, E(X), Var(X), and binomial essentials.
Designed to solve real exam issues
Memory overload: Curated, de‑duplicated formulas prevent cognitive fatigue and reduce revision time.
Careless errors: Edge‑case notes (domains, ranges, intervals, principal values) placed right where mistakes happen.
Time pressure: Ready templates and worked set‑ups help reach final forms faster.
Who it’s for
Class 12 students targeting top board scores.
Teachers and tutors seeking a clean, chapter‑wise formula companion.
JEE/competitive aspirants needing NCERT‑aligned recall support.
How to use for maximum results
Daily: 10–15 minutes per chapter’s formula sheet; alternate calculus and non‑calculus.
Weekly: Active recall cycles—cover and reproduce, then check and mark weak zones.
Pre‑exam: Run the Night‑Before spreads + chapter end quick sheets; practice a small set of typical problems right after.
Why this handbook wins
Zero fluff, high‑yield organization.
Consistent visual logic, fast scanning.
Built to convert understanding into marks under real board conditions.
Click “BUY NOW” to secure a proven, time‑saving, exam‑ready formula system