JEE Maths Syllabus: Class 9-12
Complete chapter-wise syllabus from Foundation (Class 9-10) to JEE Main & Advanced level (Class 11-12).
Class 9 — Foundation
FoundationNumber Systems
Rational & irrational numbers, decimal expansion, surds, rationalisation
Polynomials
Remainder theorem, factor theorem, algebraic identities, factorisation
Coordinate Geometry
Cartesian plane, plotting points, distance formula basics
Triangles
Congruence criteria (SSS, SAS, ASA, RHS), properties of triangles
Statistics & Probability
Mean, median, mode, basic probability of events
Class 10 — Foundation
FoundationReal Numbers
Euclid's division, fundamental theorem of arithmetic, irrationality proofs
Quadratic Equations
Factoring, completing the square, quadratic formula, discriminant, nature of roots
Arithmetic Progressions
nth term, sum of n terms, applications, word problems
Trigonometry
Trig ratios, identities (sin² + cos² = 1), heights & distances
Circles & Mensuration
Tangents, arc length, sector area, surface area & volume of solids
Class 11 — JEE
JEESets, Relations & Functions
Types of sets, Venn diagrams, domain, range, composition, inverse functions
Trigonometry
Trig functions, identities, general solutions of trig equations, inverse trig basics
Complex Numbers
Algebra of complex numbers, modulus, argument, De Moivre's theorem, roots of unity
Permutations & Combinations
nPr, nCr, binomial theorem, multinomial, circular permutations
Sequences & Series
AP, GP, HP, AGP, summation of special series, method of differences
Straight Lines
Slope, intercept forms, angle between lines, distance from a point, family of lines
Conic Sections
Circle, parabola, ellipse, hyperbola — standard forms, properties, tangent/normal
Limits & Derivatives
Limits of functions, L'Hôpital's rule, differentiation from first principles, basic rules
Class 12 — JEE
JEERelations & Functions
Types of relations, one-one/onto, inverse functions, binary operations
Inverse Trigonometric Functions
Principal values, properties, simplification, equations involving inverse trig
Matrices & Determinants
Matrix operations, inverse, rank, Cramer's rule, system of linear equations
Continuity & Differentiability
Continuity, differentiability, chain rule, implicit & parametric differentiation, Rolle's & MVT
Integration
Indefinite integrals (substitution, partial fractions, by parts), definite integrals, area under curves
Differential Equations
Order/degree, variable separable, homogeneous, linear first order DEs
Vectors & 3D Geometry
Dot & cross product, scalar triple product, lines & planes in 3D, shortest distance
Probability
Conditional probability, Bayes' theorem, binomial distribution, mean & variance