CBSE Class 11 Mathematics syllabus 2025-26

Posted by ScientiaTutorials.in
Categories CBSE Syllabus 2025 - 2026
Date 27/09/2025

Chapter-wise syllabus for CBSE Class 11 Mathematics (2025-26) based on the official curriculum (Subject Code 041) (CBSE Academic)

Unit	Chapters / Topics	Key Sub-topics
Unit I: Sets and Functions	1. Sets	• Sets and their representations • Empty set, Finite and Infinite sets • Equal sets, Subsets • Intervals as subsets of ℝ • Universal set, Venn diagrams • Union, Intersection, Difference, Complement • Properties of complement
	2. Relations & Functions	• Ordered pairs, Cartesian product • Number of elements in Cartesian product • Relations: pictorial, domain, co-domain, range • Functions as special relations • Types of real-valued functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, greatest integer • Graphs of these functions • Sum, difference, product, quotient of functions
	3. Trigonometric Functions	• Positive/negative angles, measure in radians & degrees • Unit circle approach • Basic identity: sin²x + cos²x = 1 • Signs of trigonometric functions • Domain & range, graphs of sin, cos, tan, etc. • Addition & subtraction formulae for sin and cos • Identities: tan(x ± y), cot(x ± y), sum/difference of sines & cosines • Double-angle, triple-angle formulae
Unit II: Algebra	4. Complex Numbers & Quadratic Equations	• Motivating need for complex numbers (√−1) • Algebraic properties of complex numbers • Argand plane representation • Solution of quadratic equations over ℂ • Square roots of complex numbers
	5. Linear Inequalities	• Linear inequalities in one variable • Algebraic solution and representation on number line • (Note: graphical solutions in two variables omitted)
	6. Permutations and Combinations	• Fundamental principle of counting • Factorial (n!) • Permutations (nPr), Combinations (nCr) • Derivations, simple applications
	7. Binomial Theorem	• Historical perspective & statement for positive integral indices • Pascal’s triangle • Simple applications of binomial theorem
	8. Sequences and Series	• Sequence and series definitions • Arithmetic progression (A.P.): general term, sum of n terms • Geometric progression (G.P.): general term, finite & infinite sum • Relation between arithmetic mean (A.M.) and geometric mean (G.M.)
Unit III: Coordinate Geometry	9. Straight Lines	• Slope of a line, angle between two lines • Various forms of line equation: point‐slope, slope‐intercept, two‐point, intercept • Distance of a point from a line
	10. Conic Sections	• Circle: standard equation, properties • Parabola: standard equation, properties • Ellipse: standard equation, properties • Hyperbola: standard equation, properties • Degenerated cases (pair of lines, point, etc.)
	11. Introduction to Three-Dimensional Geometry	• Coordinate axes & coordinate planes in 3D • Coordinates of a point in space • Distance between two points in 3D
Unit IV: Calculus	12. Limits and Derivatives	• Intuitive notion of limit • Limits of polynomials, rational, trigonometric, exponential, logarithmic functions • Derivative as rate of change / slope of tangent • Derivative of sum, difference, product, quotient • Derivatives of polynomial & trigonometric functions
Unit V: Statistics and Probability	13. Statistics	• Measures of Dispersion: range, mean deviation, variance, standard deviation • For ungrouped & grouped data
	14. Probability	• Events: ‘not’, ‘and’, ‘or’ • Exhaustive and mutually exclusive events • Axiomatic (set theoretic) approach to probability • Probability of ‘not’, ‘and’, ‘or’ events

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