📐 Math Notes & Practice Quiz
Master numbers, patterns, and analytical thinking
Mathematics is the language of science and logic. From sets and functions in Class 11 to calculus and 3D geometry in Class 12, these NCERT-aligned chapter notes and quizzes will help you build the skills needed for boards and JEE.
Start practising Mathematics — Free →🔢 Algebra & Number Theory
Equations, sequences, and combinatorics
- Quadratic Equations Class 11
Solving ax² + bx + c = 0 by factorization, formula, and completing the square - Sequences and Series Class 11
Arithmetic progressions, geometric progressions, and sums - Permutations and Combinations Class 11
Counting, arrangements, and selections - Sets Class 11
Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range - Relations and Functions Class 11
Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra. - Complex Numbers Class 11
Standard form a+ib, modulus, argument, polar form, De Moivre theorem, and cube roots of unity - Binomial Theorem Class 11
Expansion of (a+b)^n, general term, middle term, binomial coefficients, and greatest term - Linear Inequalities Class 11
Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane. - Principle of Mathematical Induction Class 11
A proof technique used to establish that a statement is true for every natural number, using a base case and an inductive step. - Linear Programming Class 12
Optimizing a linear objective function subject to linear constraints using the graphical corner point method.
📐 Trigonometry & Geometry
Angles, triangles, coordinates, and shapes
- Trigonometric Functions Class 11
Ratios, identities, and applications in triangles - Straight Lines Class 11
Points, lines, and curves on the Cartesian plane - Circles & Mensuration Class 11
Perimeters, areas, and volumes of 2D and 3D shapes - Conic Sections Class 11
Study circles, parabolas, ellipses, and hyperbolas as curves formed by intersecting a plane with a double cone, with their standard equations and key properties. - Inverse Trigonometric Functions Class 12
Restricting trig functions to make them invertible, the principal value branches of sin-inverse, cos-inverse, tan-inverse, and friends, and the key identities relating them.
∫ Calculus
Limits, differentiation, and integration
- Limits and Derivatives Class 11
Rate of change, differentiation rules, and applications - Integrals Class 12
Indefinite and definite integrals, areas under curves - Differential Equations Class 12
Equations involving derivatives and their solutions - Application of Derivatives Class 12
Use derivatives to study rate of change, increasing and decreasing functions, tangents and normals, and maxima and minima, with classic optimization problems. - Continuity and Differentiability Class 12
When a function has no breaks (continuity) and when it has a well-defined slope (differentiability), plus rules for differentiating implicit, inverse trig, exponential, log, and parametric functions. - Application of Integrals Class 12
Using definite integrals to compute the area under a curve, the area between two curves, and the areas enclosed by standard curves like circles, parabolas, and ellipses.
📊 Statistics & Probability
Data analysis, distributions, and chance
- Statistics Class 11
Mean, median, mode, standard deviation, and data interpretation - Probability Class 12
Chance, events, conditional probability, and Bayes theorem - Determinants Class 12
Evaluation of determinants, cofactors, adjoint, inverse of matrix, Cramer's rule and area applications. Always in board and JEE.
🔲 Linear Algebra & 3D Geometry
Matrices, determinants, vectors, and geometry in three dimensions
- Matrices Class 12
Matrix operations, determinants, inverses, and solving linear systems - Vector Algebra Class 12
Vectors, dot product, cross product, and geometric applications - Three Dimensional Geometry Class 12
Lines and planes in 3D space, direction cosines, distances, and angles
Frequently Asked Questions — Mathematics
- Does this cover the NCERT syllabus?
- Yes. Every chapter is mapped directly to the NCERT Class 11 and Class 12 Mathematics syllabus and goes deeper into NEET- and JEE-level detail.
- How many questions are available for Mathematics?
- StudyHub has hundreds of Mathematics questions across Easy, Medium, and Hard tiers — covering every chapter for thorough exam preparation.
- Can I use this for NEET Mathematics preparation?
- Absolutely. Questions are tagged by difficulty and chapter, and the AI Tutor is available to explain any concept in depth.