Updated CBSE Class 11 Maths Syllabus for 2025-26 – Get the latest chapter-wise syllabus, marking scheme, and study tips. Download the official PDF at the end!
Overview of CBSE Class 11 Maths Syllabus 2025-26
The Class 11 CBSE syllabus for Maths plays a crucial role in board exams and competitive exams like JEE, NEET, CUET, etc. This year, CBSE has introduced competency-based questions and a revised weightage system to encourage conceptual learning over rote memorization.
| Board | CBSE |
| Class | 11 |
| Session | 2025-26 |
| Subject | Maths |
| Content-Type | Syllabus/Curriculum |
| Official Website | https://cbseacademic.nic.in |
COURSE STRUCTURE: CLASS XI MATHEMATICS (2025-26)
THEORY
- Duration: 3 Hours
- Maximum Marks: 80
- Internal Assessment: 20
- Total Marks: 100
- Note: No chapter/unit-wise weightage. Care to be taken to cover all chapters.
Mark Distribution by Unit
| Unit No. | Unit Title | Marks |
|---|---|---|
| I | Sets and Functions | 23 |
| II | Algebra | 25 |
| III | Coordinate Geometry | 12 |
| IV | Calculus | 08 |
| V | Statistics and Probability | 12 |
| Total | 80 |
Detailed Syllabus
Unit I: Sets and Functions (23 Marks)
- Sets
- Sets and their representations: Empty set, Finite and Infinite sets, Equal sets.
- Subsets, Subsets of real numbers (especially intervals with notations).
- Universal set, Venn diagrams.
- Operations: Union, Intersection, Difference, Complement of a set, Properties of complement.
- Relations & Functions
- Ordered pairs, Cartesian product of sets, Number of elements in Cartesian product of two finite sets.
- Cartesian product of reals (up to ( R \times R \times R )).
- Relations: Definition, Pictorial diagrams, Domain, Co-domain, Range.
- Functions: Special type of relation, Pictorial representation, Domain, Co-domain, Range.
- Real-valued functions: Constant, Identity, Polynomial, Rational, Modulus, Signum, Exponential, Logarithmic, Greatest Integer functions (with graphs).
- Operations on functions: Sum, Difference, Product, Quotient.
- Trigonometric Functions
- Positive and negative angles, Measuring angles in radians and degrees, Conversion between measures.
- Definition of trigonometric functions using the unit circle.
Identity:
sin²x + cos²x = 1 (for all x).
Signs, Domain, Range, and Graphs of trigonometric functions.
Compound angle formulas:
sin(x±y) = sinx cosy ± cosx siny,
cos(x±y) = cosx cosy ∓ sinx siny,
and their simple applications.
- Deducing identities:
1. Sum and Difference Formulas
| Identity | Formula |
|---|---|
| Tangent | tan(x ± y) = (tanx ± tany)/(1 ∓ tanxtany) |
| Cotangent | cot(x ± y) = (cotx coty ∓ 1)/(coty ± cotx) |
2. Sum-to-Product Identities
| Identity | Formula |
|---|---|
| Sine | sinα ± sinβ = 2 sin[(α ± β)/2] cos[(α ∓ β)/2] |
| Cosine (Sum) | cosα + cosβ = 2 cos[(α + β)/2] cos[(α - β)/2] |
| Cosine (Difference) | cosα - cosβ = -2 sin[(α + β)/2] sin[(α - β)/2] |
Identities for sin2x, cos2x, tan2x, sin3x, cos3x, tan3x
Unit II: Algebra (25 Marks)
- Complex Numbers and Quadratic Equations
- Need for complex numbers (e.g., ( √-1) motivated by unsolvable quadratic equations.
- Algebraic properties of complex numbers, Argand plane.
- Linear Inequalities
- Linear inequalities, Algebraic solutions in one variable, Representation on the number line.
- Permutations and Combinations
- Fundamental principle of counting, Factorial ( n ) (i.e., ( n! )).
- Derivation of formulas: ( ^nP_r ), ( ^nC_r ), their connections, and simple applications.
- Binomial Theorem
- Historical perspective, Statement and proof for positive integral indices.
- Pascal’s triangle, Simple applications.
- Sequence and Series
- Sequences and series, Arithmetic Mean (A.M.).
- Geometric Progression (G.P.): General term, Sum of ( n ) terms, Infinite G.P. and its sum, Geometric Mean (G.M.).
- Relation between A.M. and G.M.
Unit III: Coordinate Geometry (12 Marks)
- Straight Lines
- Brief recall of 2D geometry from earlier classes.
- Slope of a line, Angle between two lines.
- Forms of line equations: Parallel to axes, Point-slope, Slope-intercept, Two-point, Intercept form.
- Distance of a point from a line.
- Conic Sections
- Sections of a cone: Circles, Ellipse, Parabola, Hyperbola, Degenerate cases (point, straight line, pair of intersecting lines).
- Standard equations and simple properties of Parabola, Ellipse, Hyperbola, Circle.
- Introduction to Three-dimensional Geometry
- Coordinate axes and planes in 3D.
- Coordinates of a point, Distance between two points.
Unit IV: Calculus (8 Marks)
- Limits and Derivatives
- Derivative as rate of change (distance function and geometrically).
- Intuitive idea of limit.
- Limits of polynomials, rational, trigonometric, exponential, and logarithmic functions.
- Definition of derivative, Relation to slope of tangent.
- Derivatives of sum, difference, product, and quotient of polynomial and trigonometric functions.
Unit V: Statistics and Probability (12 Marks)
- Statistics
- Measures of dispersion: Range, Mean deviation, Variance, Standard deviation (for ungrouped/grouped data).
- Probability
- Events: Occurrence, ‘Not’, ‘And’, ‘Or’ events, Exhaustive events, Mutually exclusive events.
- Axiomatic (set-theoretic) probability, Connections with earlier theories.
- Probability of an event, Probability of ‘Not’, ‘And’, and ‘Or’ events.
Download CBSE Class 11 Maths Syllabus 2025-26 PDF
Click the button below to download the official CBSE syllabus PDF for 2025-26.
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CBSE Class 11 Syllabus – All Subjects
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