IIT-JEE • Mathematics
High-Yield Weightage Matrix
IIT-JEE Mathematics Syllabus & PYQ Weightage Matrix
Detailed chapter breakdown calibrated against NTA blueprints and 2019–2026 historical Previous Year Questions. Track high-frequency topics and schedule active recall drills on Adapt Vector.
Total Chapters
16 High-Yield Topics
Pedagogical Units
4 Core Modules
Estimated Mastery Time
185 Hours
Module 1: Algebra
4.7% PYQ Weightage~10h study
Sets, Relations & Functions
Key Subtopics:
- Types of Relations (Reflexive, Symmetric, Transitive & Equivalence)
- Domain, Range & Codomain of Real Functions
- Types of Functions (One-One, Onto, Bijective, Invertible)
- +2 more subtopics
6.3% PYQ Weightage~13h study
Complex Numbers & Quadratic Equations
Key Subtopics:
- Algebraic Properties, Modulus, Conjugate & Argument of Complex Numbers
- Polar & Euler Form of Complex Numbers
- De Moivre's Theorem & Cube/nth Roots of Unity
- +3 more subtopics
6% PYQ Weightage~10h study
Matrices & Determinants
Key Subtopics:
- Types of Matrices, Matrix Operations & Multiplications
- Transpose, Symmetric & Skew-Symmetric Matrices, Orthogonal Matrices
- Properties of Determinants & Minors/Cofactors
- +2 more subtopics
8.5% PYQ Weightage~14h study
Permutations, Combinations & Probability
Key Subtopics:
- Fundamental Principles of Counting, Permutations & Combinations Formulas
- Circular Permutations, Division into Groups & Derangements
- Multinomial Theorem & Selection with Repetition
- +4 more subtopics
5% PYQ Weightage~10h study
Sequences & Series (AP, GP, Special Series)
Key Subtopics:
- Arithmetic Progression (AP), General Term & Sum of n Terms
- Geometric Progression (GP), Infinite GP & Geometric Mean
- Arithmetico-Geometric Progression (AGP)
- +2 more subtopics
4.4% PYQ Weightage~11h study
Binomial Theorem
Key Subtopics:
- Binomial Theorem for Positive Integral Index
- General Term, Middle Term(s) & Greatest Term
- Properties of Binomial Coefficients & Series Summations
- +2 more subtopics
Module 2: Coordinate Geometry
4.7% PYQ Weightage~10h study
Straight Lines & Pair of Straight Lines
Key Subtopics:
- Slope of a Line, Various Forms of Equations of a Line
- Distance of a Point from a Line, Distance Between Parallel Lines
- Angle Between Two Lines & Family of Lines
- +2 more subtopics
6% PYQ Weightage~12h study
Circles & System of Circles
Key Subtopics:
- Standard Equation of Circle & General Form
- Equation of Tangent, Normal & Chord of Contact
- Parametric Equations of Circle & Length of Tangents
- +3 more subtopics
8.2% PYQ Weightage~13h study
Conic Sections (Parabola, Ellipse, Hyperbola)
Key Subtopics:
- Parabola: Standard Forms, Focus, Directrix, Latus Rectum, Parametric Form
- Parabola: Tangents, Normals & Reflection Property
- Ellipse: Standard Equation, Eccentricity, Foci, Directrices, Auxiliary Circle
- +3 more subtopics
Module 3: Calculus
5.6% PYQ Weightage~11h study
Limits, Continuity & Differentiability
Key Subtopics:
- Standard Limits, Algebraic Limits & Trigonometric/Exponential Limits
- L'Hôpital's Rule & Series Expansion of Standard Functions
- Continuity of Functions at a Point and in an Interval
- +2 more subtopics
7.8% PYQ Weightage~12h study
Application of Derivatives (AOD)
Key Subtopics:
- Derivatives as Rate Measure & Tangents and Normals
- Rolle's Theorem & Lagrange's Mean Value Theorem (LMVT)
- Increasing & Decreasing Functions (Monotonicity Tests)
- +2 more subtopics
9.1% PYQ Weightage~13h study
Indefinite & Definite Integrals
Key Subtopics:
- Indefinite Integration: Substitution, By Parts, Partial Fractions
- Integration of Special Rational & Trigonometric Functions
- Fundamental Theorem of Calculus & Definite Integrals Evaluation
- +3 more subtopics
6.3% PYQ Weightage~12h study
Differential Equations & Area Under Curves
Key Subtopics:
- Area Bounded by Curves & Lines Using Definite Integrals
- Area Between Two Intersecting Curves (Horizontal & Vertical Strips)
- Order and Degree of Differential Equations
- +3 more subtopics
Module 4: Vectors, 3D Geometry & Trigonometry
5.3% PYQ Weightage~10h study
Vector Algebra
Key Subtopics:
- Vector Addition, Subtraction & Position Vectors
- Dot Product (Scalar Product) & Geometric Projections
- Cross Product (Vector Product) & Area of Triangles/Parallelograms
- +2 more subtopics
7.5% PYQ Weightage~13h study
Three Dimensional Geometry (Lines & Planes)
Key Subtopics:
- Direction Cosines & Direction Ratios of a Line
- Vector & Cartesian Equations of a Line in 3D
- Angle Between Two Lines, Shortest Distance Between Skew/Parallel Lines
- +3 more subtopics
4.6% PYQ Weightage~11h study
Trigonometric Functions, Equations & Inverse Trigonometry
Key Subtopics:
- Trigonometric Identities (Compound Angles, Multiple/Submultiple Angles)
- Trigonometric Equations & General Solutions
- Principal Values & Graphs of Inverse Trigonometric Functions
- +2 more subtopics
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