CBSE Revised Syllabus for Class 11 Maths 2024-25

Unit-I: Sets and Functions

1. 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.

2. 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 (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. Sum, difference, product and quotients of functions.

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 sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:

\[\begin{aligned} &\tan \tan (x \pm y)=\frac{\tan x \pm \tan y}{1 \mp \tan x \tan y}, \cot \cot (x \pm y)=\frac{\cot x \cot y \mp 1}{\cot y \pm \cot x} \\ &=2 \sin \sin \frac{1}{2}(\alpha \pm \beta) \cos \cos \frac{1}{2}(\alpha \pm \beta) \\ &\cos \cos \alpha+\cos \cos \beta=2 \cos \cos \frac{1}{2}(\alpha+\beta) \cos \cos \frac{1}{2}(\alpha-\beta) \\ &\cos \cos \alpha-\cos \cos \beta=-2 \cos \cos \frac{1}{2}(\alpha+\beta) \sin \sin \frac{1}{2}(\alpha-\beta) \\ &\text { Identities related to sin2x, } \cos 2 x, \tan 2 x, \sin 3 x, \cos 3 x \text { and } \tan 3 x . \end{aligned}\]

Unit-II: Algebra

1. Complex Numbers and Quadratic Equations 

Need for complex numbers, especially -1 to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane.

2. Linear Inequalities 

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

3. Permutations and Combinations

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

4. Binomial Theorem

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

5. 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

1. 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 axis, point -slope form, slope-intercept form, two-point form, intercept form, Distance of a point from a line.

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 and hyperbola. Standard equation of a circle. 

3. Introduction To Three-Dimensional Geometry

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

Unit-IV: Calculus 

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 scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions. 

Unit-V Statistics and Probability

1.  Statistics

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

2. Probability

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. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

Types of Questions from the CBSE Syllabus for Class 11 Maths 2024-25

Due to pandemic, there were adjustments to the syllabus for class 11 maths. Though small changes have been made this year. 

• Typically, for a Maths test, you will be given a variety of questions based on the CBSE Class 11 Maths syllabus. 

• Aside from that, you'll be asked memory questions. These types of questions assess your understanding of fundamental concepts, your ability to recall previously taught things, and your memory. 

• You'll also be asked questions based on your knowledge of the subject. Based on the following criteria, you will receive 55% of the questions. 

• A problem based on the application of a specific notion or theorem is another sort of problem. About a quarter of the questions are application-based. 

• Another 20% of the questions are dependent on your ability to analyse a situation.
  

Conclusion

In this article, we have provided a direct link to the NCERT Books for Class 11 Maths 2024 answer. Furthermore, these novels are available in both English and Hindi for download. To download the NCERT Book Class 11 Maths PDF, scroll down.