# CBSE Class 11th Maths Syllabus 2024-25: High Weightage Topics

Author : Paakhi Jain

August 30, 2024

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Overview: Mathematics is a crucial subject for CBSE board examinations and entrance exams since it carries a considerable weightage in total marks. The CBSE Class 11th Maths syllabus has been divided into 5 units that you must prepare for the upcoming exams.

According to the CBSE Class 11th Maths syllabus, the examination will count for 80 marks, and the internal assessment will count for another 20. The important points you must know are:

• You will get 33% internal choices for all sections in the exam.
• The syllabus doesn't mention chapter-wise weightage.

## CBSE Class 11th Maths Syllabus 2024-25: Exam Highlights

The exam highlights class 11th maths question paper are:

• Suitable internal variations may be made for generating various templates, keeping the overall weightage to different forms and typologies of questions the same.
• There will be no overall choice in the question paper.
• However, 33% of internal choices will be given in all the sections.

The following table provides a unit-wise marks breakup of the class 11th maths syllabus:

 Unit No. Unit Name Number of Periods Marks 1 Sets and Functions 60 23 2 Algebra 70 30 3 Coordinate Geometry 40 10 4 Calculus 30 5 5 Mathematical Reasoning 10 2 6 Statistics and Probability 30 10 Total 240 80 Internal Assessment 20 Grand Total 100

## CBSE Class 11th Maths Syllabus 2024-25 (Unit and Chapter-wise Distribution)

There are 5 units in the 11th std CBSE Maths syllabus.  The detailed unit and chapter-wise breakup is given below:

### Unit-I: Sets and Functions

Chapter 1: Sets

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

Chapter 2: Relations & Functions

• Ordered pairs - Cartesian product of sets
• Number of elements in the cartesian product of two finite sets
• Cartesian product of the sets of real (up to R × R)
• Definition of − Relation, Pictorial diagrams, Domain, Co-domain, Range of a relation
• Function as a special kind of relation from one set to another
• 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, Greatest integer functions (with their graphs)
• Sum, difference, product and quotients of functions.

Chapter 3: Trigonometric Functions

• Positive and negative angles
• Measuring angles in radians and degrees and conversion of one into other
• Definition of trigonometric functions with the help of unit circle
• Truth of the 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 application
• Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x
• General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

### Unit-II: Algebra

Chapter 1: Principle of Mathematical Induction

• Process of the proof by induction − Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers
• The principle of mathematical induction and simple applications

Chapter 2: Complex Numbers and Quadratic Equations

• Need for complex numbers, especially √1, to be motivated by the inability to solve some of the quadratic equations
• Algebraic properties of complex numbers
• Argand plane and polar representation of complex numbers
• Statement of Fundamental Theorem of Algebra
• Solution of quadratic equations in the complex number system
• Square root of a complex number

Chapter 3: Linear Inequalities

• Linear inequalities
• Algebraic solutions of linear inequalities in one variable and their representation on the number line
• Graphical solution of linear inequalities in two variables
• Graphical solution of the system of linear inequalities in two variables

Chapter 4: Permutations and Combinations

• Fundamental principle of counting
• Factorial n
• (n!) Permutations and combinations
• Derivation of formulae and their connections
• Simple applications.

Chapter 5: Binomial Theorem

• History
• Statement and proof of the binomial theorem for positive integral indices
• Pascal's triangle
• General and middle term in binomial expansion
• Simple applications

Chapter 6: Sequence and Series

• Sequence and Series
• Arithmetic Progression (A.P.), Arithmetic Mean (A.M.)
• Geometric Progression (G.P.)
• General term of a G.P, Sum of n terms of a G.P.
• Arithmetic and Geometric series infinite G.P. and its sum
• Geometric mean (G.M.)
• Relation between A.M. and G.M.

### Unit-III: Coordinate Geometry

Chapter 1: Straight Lines

• Brief recall of two-dimensional geometries from earlier classes
• Shifting of origin
• Slope of a line and angle between two lines
• Various forms of equations of a line − parallel to axis, Point-slope form, Slope-intercept form, Two-point form, Intercept form, Normal form
• General equation of a line
• Equation of family of lines passing through the point of intersection of two lines
• Distance of a point from a line

Chapter 2: Conic Sections

• Sections of a cone − Circles, Ellipse, Parabola, Hyperbola − 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, Hyperbola
• Standard equation of a circle

Chapter 3. Introduction to Three–dimensional Geometry

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

### Unit-IV: Calculus

Chapter 1: Limits and Derivatives

• Derivative introduced as rate of change both as that of distance function and geometrically
• Intuitive idea of limit
• Limits of − Polynomials and rational functions, Trigonometric, exponential and logarithmic functions
• Definition of derivative: relate it to the slope of the tangent of a curve, derivative of sum, difference, product and quotient of functions
• The derivative of polynomial and trigonometric functions

### Unit-V: Statistics and Probability

Chapter 1: Statistics

• Measures of dispersion − Range, Mean deviation, Variance, Standard deviation of ungrouped/grouped data
• Analysis of frequency distributions with equal means but different variances.

Chapter 2: Probability

• Random experiments − Outcomes, Sample spaces (set representation)
• Events − Occurrence of events, 'not', 'and' and 'or' events, Exhaustive events, Mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes
• Probability of − An event, probability of 'not', 'and' and 'or' events

## Important topics for CBSE Class 11 Maths Exam

The following are some of the important topics from CBSE Class 11th Maths Syllabus that students must prepare before appearing for the exam:

### Unit-I: Sets and Functions

Chapter 1: Sets

• Questions based on different types of sets (Empty set. Finite and Infinite sets. Equal sets. Subsets).
• Power set & Universal set
• Question based on Union Venn diagrams.
• Question based on Union and Intersection of sets.
• Question based difference & complement of sets
• Question based properties of complement.

Chapter 2: Relations and Functions

• Ordered pairs
• Question based on cartesian product of sets.
• Cartesian product of the set of reals with itself (upto R x R x R).
• Definition of relation, pictorial diagrams, domain, co-domain and range of a relation.
• Function as 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.
• Question based on Sum, difference, product and quotients of functions.

Chapter 3: 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 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 sin x, sin y, cos x & cos y and their simple applications.
• Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x.
• The general solution of trigonometric equations of sin y = sin a, cos y = cos a and tan y = tan a.

### Unit-II: Algebra

Chapter 4: Principle of Mathematical Induction

• Question-based on the process of the proof by induction,
Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.
• The principle of mathematical induction and simple applications.

Chapter 5: Complex Numbers and Quadratic Equations

• Complex numbers, especially √−1, need to be motivated by the inability to solve some quadratic equations.
• The question is based on complex numbers of quadratic equations.
• Algebraic properties of complex numbers.
• Argand plane and polar representation of complex numbers.
• Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.
• Square root of a complex number.

Chapter 6: Linear Inequalities

• Questions based on linear inequalities.
• Algebraic solutions of linear inequalities in one variable and their representation on the number line.
• Graphical solution of linear inequalities in two variables.
• Graphical method of finding a solution to a system of linear inequalities in two variables.

Chapter 7: Permutations and Combinations

• Questions based on the fundamental principle of counting.
• Questions based on Factorial n. (n!)
• Questions based on Permutations and combinations,
• Derivation of Formulae for nPr and nCr and their connections, simple applications.

Chapter 8: Binomial Theorem

• Statement and proof of the binomial theorem for positive integral indices.
• Knowledge of Pascal's triangle
• Questions based on General and middle term in binomial expansion, simple applications.

Chapter 9: Sequences and Series

• Questions based on Sequence and Series.
• Questions based on Arithmetic Progression (A. P.), Arithmetic Mean (A.M.), Geometric Progression (G.P.)
• Questions based on finding the General term of a G.P.
• Questions based on the sum of n terms of a G.P.
• Questions based on infinite G.P. and its sum,
• Questions based on Geometric mean (G.M.)
• Relation between A.M. and G.M.

### Unit-III: Coordinate Geometry

Chapter 10: Straight Lines

• Brief recall of two-dimensional geometry from earlier classes.
• Slope of a line and angle between two lines.
• Various equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form.
• General equation of a line.
• Equation of family of lines passing through the point of intersection of two lines.
• Distance of a point from a line.

Chapter 11: Conic Sections

• Circles, ellipses, parabolas, hyperbolas, 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.

Chapter 12: Introduction to Three-Dimensional Geometry

• Questions based on Coordinate axes and coordinate planes in three dimensions.
• Questions based on the Coordinates of a point.
• Questions based on the distance between two points and section formula.

### Unit-IV: Calculus

Chapter 13: Limits and Derivatives

• Derivative introduced as rate of change both as that of distance function and geometrically.
• Intuitive idea of limit, limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.
• Definition of derivative relate it to scope of tangent of the curve.
• Derivative of sum, difference, product and quotient of functions.
• Derivatives of polynomial and trigonometric functions.

Check About: CBSE Class 11 Applied Maths Calculus

### Unit-V: Statistics and Probability

Chapter 14: Statistics

• Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
• Analysis of frequency distributions with equal means but different variances.

Chapter 15: Probability

• Questions based on random experiments, outcomes, and sample spaces (set representation).
• Events: occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events,
• Axiomatic (set theoretic) probability, connections with other theories of earlier classes.
• Questions based on the probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

## Prescribed Books for CBSE Class 11th Maths Syllabus

CBSE endorses the NCERT books to cover the whole 11th Math CBSE syllabus.

The following are some of the prescribed main course and reference books to help you prepare for the class 11 CBSE Maths Syllabus.

• Mathematics Textbook for Class XI, NCERT Publications

### Key Takeaways

• Familiarize yourself with the Class 11th Maths syllabus thoroughly to identify high-weightage topics and exam requirements.
• Utilize NCERT Books for comprehensive coverage of formulas and concepts crucial for exam.
• Do regular practice with sample papers to understand the exam format and boost your preparation level.
• Make short notes for formulas using colour coding for easy revision.
• Create a balanced study plan to cover the entire syllabus and have adequate revision time.