JEE Maths — detailed notes, short notes, formula sheets & PYQs for every chapter.

Sets

Sets notes — definition, types of sets, subsets, power set, Venn diagrams, set operations, algebra of sets, De Morgan's laws, cardinality formulas

Relations & Functions

Relations and Functions notes — cartesian product, relations, types (reflexive, symmetric, transitive, equivalence), partial order, functions, one-one

Complex Numbers

Complex Numbers notes — iota, algebra, conjugate, modulus, argument, polar form, Euler form, Argand diagram, triangle inequality, square root, cube ro

Quadratic Equations

Quadratic Equations notes — theory, discriminant, nature of roots, relation between roots & coefficients, common roots, graph of quadratic, quadratic

Sequences & Series

Sequences and Series notes — Arithmetic, Geometric, Harmonic Progressions, Means, AM-GM-HM Inequality, Arithmetic-Geometric Progression (AGP), Sum of

Permutations & Combinations

Permutations and Combinations notes — Fundamental Principle of Counting, factorial, nPr, nCr, properties of nCr, permutations with repetition, alike o

Binomial Theorem

Binomial Theorem notes — statement, expansion, general term, middle term, term independent of x, greatest term, numerically greatest term, properties

Principle of Mathematical Induction

Principle of Mathematical Induction (PMI) notes — statement, first principle, strong induction, three steps of PMI, working rule, summation of n, n²,

Mathematical Reasoning

Mathematical Reasoning notes — statements, truth tables, logical connectives (NOT, AND, OR, IF-THEN, IFF), converse, inverse, contrapositive, tautolog

Matrices

Matrices notes — types of matrices, algebra, transpose, symmetric & skew-symmetric, adjoint, inverse, elementary operations, all formulas, 100+ solved

Determinants

Determinants notes — properties of determinants, minors and cofactors, adjoint and inverse of matrix, Cramer's rule, consistency of system of linear e

Limits

Limits notes — algebra of limits, standard limits, trigonometric limits, exponential & logarithmic limits, 1^infinity form, L'Hôpital's Rule, Sandwich

Continuity & Differentiability

Continuity and Differentiability notes — definition of continuity, types of discontinuity, differentiability, LHD=RHD, implicit differentiation, logar

Applications of Derivatives

Application of Derivatives notes — rate of change, tangents & normals, approximations, increasing/decreasing functions, maxima & minima, Rolle's & Mea

Indefinite Integration

Indefinite Integration notes — basic formulas, integration by substitution, integration by parts (ILATE), partial fractions, trigonometric integrals,

Definite Integration & Area

Definite Integration notes — definition, fundamental theorem of calculus, properties, King's property, periodic functions, Wallis formula, Leibniz rul

Differential Equations

Differential Equations notes — definition, order and degree, formation of DE, variable separable, homogeneous DE, linear differential equation dy/dx+P

Straight Lines

Straight Lines notes — coordinate system, distance & section formula, area of triangle, locus, slope, all forms of line equation, angle between lines,

Circles

Circles notes — standard & general equation, diameter form, parametric form, tangent (all 3 forms), length of tangent, pair of tangents, director circ

Parabola

Parabola notes — standard equation, general form, parametric coordinates, focal chord, tangent (all forms), normal, sub-tangent, sub-normal, chord of

Ellipse

Ellipse notes — standard equation, eccentricity, foci, directrix, latus rectum, auxiliary circle, parametric form, tangent (all 3 forms), normal (all

Hyperbola

Hyperbola notes — standard equation, conjugate hyperbola, parametric form, tangent (all 3 forms), normal, asymptotes, rectangular hyperbola (xy = c²),

Trigonometry

Trigonometry notes — trigonometric ratios, identities, compound angles, transformation formulas, multiple & sub-multiple angles, conditional identitie

Vector Algebra

Vector Algebra notes — types of vectors, addition, section formula, dot product, cross product, scalar triple product, vector triple product, projecti

3D Geometry

Three Dimensional Geometry notes — rectangular coordinate system, distance & section formula, direction cosines & ratios, angle between lines, project

Probability

Probability notes — random experiments, sample space, events, classical & axiomatic probability, addition theorem, conditional probability, multiplica

Statistics

Statistics notes — measures of central tendency (mean, median, mode), measures of dispersion (range, mean deviation, variance, standard deviation), co