Your board exam year roadmap. Master Calculus, Vectors, Matrices & Probability to score your personal best!
This is your board year. Follow each phase and leave no chapter behind.
Types of relations, types of functions, composition, invertible functions, binary operations
Domain & range, properties, principal values, graphs of inverse trig functions
Board Exam Tip: Inverse Trig carries 8 marks. Master the principal value ranges and practice simplification problems — they appear every year!
Types, operations, transpose, symmetric & skew-symmetric, elementary operations, invertible
Properties, cofactors, adjoint, inverse of matrix, Cramer's rule, area of triangle
Continuity, differentiability, chain rule, implicit differentiation, exponential & log derivatives
Rate of change, increasing/decreasing, maxima/minima, tangent & normal, approximation
Indefinite integrals (substitution, partial fractions, by parts), definite integrals & properties
Area under curves, area between two curves, bounded regions
Order & degree, formation, solution by variable separation, homogeneous, linear DE
⚡ Highest Marks: Calculus (Chapters 5–9) carries 35 out of 80 marks! Integration alone can be worth 15+ marks. This is where toppers are made — practice 100+ integration problems!
Direction cosines, types of vectors, addition, dot product, cross product, scalar triple product
Direction cosines/ratios, equation of line in space, angle between lines, shortest distance, plane equations
Formulation of LPP, graphical method, feasible region, corner point method, bounded & unbounded
Conditional probability, multiplication theorem, Bayes' theorem, random variables, probability distribution, binomial distribution
Board Exam Tip: Bayes' Theorem is a guaranteed 5-mark question. Linear Programming is the easiest 5-marker — never skip it. These 10 marks are FREE if you practice!
Rapid revision of every formula. Print and revise daily before the exam!
Solve 5–10 years of board PYQs organized chapter-wise
3-hour timed test following exact CBSE board pattern with official marking scheme
Final Strategy: Take 7+ full mock exams under timed conditions. Focus heavily on Calculus (35 marks), Vectors/3D (14 marks), and Probability (8 marks) — these sections decide your score!
The AI Tutor can solve any Class 12 problem with step-by-step board-style solutions — instant and free!