CBSE Class 11 Maths Syllabus 2025-26: FREE PDF Download

No.

Units

Marks

I.

Sets and Functions

23

II.

Algebra

25

III.

Coordinate Geometry

12

IV.

Calculus

8

V.

Statistics and Probability

12

Total

80

Internal Assessment

20

Unit-I: Sets and Functions

Sets

Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers, especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.

Relations & Functions

Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. The function is a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotient of functions.

Trigonometric Functions 

Positive and negative angles. Measuring angles in radians and in degrees, and conversion from one measure to another. Definition of trigonometric functions with the help of the unit circle. Truth of the identity 𝑠𝑖𝑛2𝑥 + 𝑐𝑜𝑠2𝑥 = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing 𝑠𝑖𝑛 (𝑥 ± 𝑦) and 𝑐𝑜𝑠 (𝑥 ± 𝑦) in terms of 𝑠𝑖𝑛𝑥, 𝑠𝑖𝑛𝑦, 𝑐𝑜𝑠𝑥 & 𝑐𝑜𝑠𝑦 and their simple applications. Deducing identities like the following: 

tan(𝑥 ± 𝑦) = tan 𝑥±tan 𝑦/1∓tan 𝑥 tan 𝑦, cot(𝑥 ± 𝑦) = cot𝑥∓cot𝑦/cot𝑦±cot𝑥

sin 𝛼 ± sin 𝛽 = 2 sin 1/2 (𝛼 ± 𝛽) cos 1/2 (𝛼 ∓ 𝛽) 

cos 𝛼 + cos 𝛽 = 2 cos 1/2 (𝛼 + 𝛽) cos 1/2 (𝛼 − 𝛽) 

cos 𝛼 − cos 𝛽 = −2 sin 1/2 (𝛼 + 𝛽) sin 1/2 (𝛼 − 𝛽) 

Identities related to sin 2𝑥, cos 2𝑥, tan 2𝑥, sin 3𝑥, cos 3𝑥 and tan 3𝑥. 

Unit II: Algebra

Complex Numbers and Quadratic Equations 

The need for complex numbers, especially √−1, is motivated by the inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane. 

Linear Inequalities Linear inequalities

Algebraic solutions of linear inequalities in one variable and their representation on the number line

Permutations and Combinations 

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for n Pr, nCr and their connections, simple applications.

Binomial Theorem 

Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications. 

Sequence and Series 

Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M 

Unit III: Coordinate Geometry

Straight Lines 

Brief recall of two-dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form. Distance of a point from a line.

Conic Sections 

Sections of a cone: circles, ellipses, parabolas, hyperboloids, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

Introduction to Three-dimensional Geometry: 

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.

Unit IV: Calculus

Limits and Derivatives 

Derivative is introduced as the rate of change, both as that of the distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions, trigonometric, exponential and logarithmic functions. The definition of derivative relates it to the scope of tangent of the curve, derivative of sum, difference, product and quotient of functions of polynomial and trigonometric functions.

Unit V: Statistics and Probability

Statistics Measures of Dispersion

Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.

Probability 

Events: occurrence of events, ‘not’, ‘’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, or’ events.

S.No.

Typology of Questions

Total Marks

%

Weight age

1

Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.

Understanding: Demonstrate understanding of facts and ideas by organising, comparing, translating, interpreting, giving descriptions, and stating main ideas

44

55

2

Applying: Solve problems in new situations by applying acquired knowledge, facts, techniques and rules in a different way.

20

25

3

Analysing:

Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalisations

Evaluating:

Present and defend opinions by making judgments about information, the validity of ideas, or the quality of work based on a set of criteria.

Creating:

Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions

16

20

Total

80

100

INTERNAL ASSESSMENT 20 MARKS

Periodic Tests (Best 2 out of 3 tests conducted) 10 Marks

Mathematics Activities 10 Marks

CBSE Class 11th Mathematics Syllabus 2025-26: FREE PDF Download