 CBSE Class 11 Maths Solutions 2022-23 | Orchids

# CBSE Class 11 Maths Syllabus

The board has issued the CBSE Syllabus for Class 11 Maths for the academic year 2022-23. The Maths Syllabus for Class 11 is divided into two periods, each with five units. The exams will likewise be divided into two halves. When it comes to the phrase wise, The CBSE Class 11 Maths Syllabus is an important resource for students who are studying for their exams. It contains information on the course structure, exam pattern, and weighting of marks for the Mathematics topic in the Term 1 and Term 2 exams. Students should review the syllabus before preparation for the Class 11 Maths test so that they are aware of what they will be studying during the academic year 2022-2023.

### CBSE Class 11 Maths Syllabus 2022-23 Term Wise

#### CBSE Class 11 Maths Syllabus Term 1 for 2022-23 with Marking Scheme

CBSE syllabus for class 11 Maths is divided into 5 units. The table below shows the units, no. of periods and marks allocated for term 1. The Maths theory paper of term 1 is of 40 marks and internal assessment is of 10 marks.

 No. Units Marks I. Sets and Functions 11 II. Algebra 13 III. Coordinate Geometry 06 IV. Calculus 04 V. Statistics and Probability 06 Total Theory 40 Internal Assessment 10

### Unit-I: Sets and Functions

1. Sets

Periods Sets and their representations. Empty set. 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

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 ( R x R only).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.

### 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. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.

2. 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., 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 and normal form. General equation of a line. Distance of a point from a line.

### Unit-IV: Calculus

1. Limits

Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.

### Unit-V: Statistics and Probability

1. Statistics

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

 INTERNAL ASSESSMENT    10 MARKS Periodic Test    5 Marks Mathematics Activities: Activity file record +Term end assessment of one activity & Viva 5  Marks

### CBSE Class 11 Maths Syllabus Term 2 for 2022-23

CBSE Syllabus for class 11 Maths is divided into 5 units. The table below shows the units, no. of periods and marks allocated for term 2. The Maths theory paper of term 2 is of 40 marks and internal assessment is of 10 marks.

 No. Units Marks I. Sets and Functions (Cont.) 08 II. Algebra (Cont.) 11 III. Coordinate Geometry (Cont.) 09 IV. Calculus (Cont.) 06 V. Statistics and Probability (Cont.) 06 Total Theory 40 Internal Assessment 10

### Unit-I: Sets and Functions

1. Trigonometric Functions

Periods 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 sin2 x + cos2 x = 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 sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.

### Unit-II: Algebra

1. 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 method of finding a solution of system of linear inequalities in two variables.

2. Permutations and Combinations

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula for nPr and nCr, simple applications.

### Unit-III: Coordinate Geometry

1. Conic Sections

Sections of a cone: circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

2. 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

1. Derivatives

Derivative introduced as rate of change both as that of distance function and geometrically. 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. Probability

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

 INTERNAL ASSESSMENT    10 MARKS Periodic Test    5 Marks Mathematics Activities: Activity file record +Term end assessment of one activity & Viva 5  Marks

The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. Senior Secondary stage is a launching stage from where the students go either for higher academic education in Mathematics or for professional courses like Engineering, Physical and Biological science, Commerce or Computer Applications. The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines given in Focus Group on Teaching of Mathematics 2005 which is to meet the emerging needs of all categories of students. Motivating the topics from real life situations and other subject areas, greater emphasis has been laid on application of various concepts.

### Objectives

The broad objectives of teaching Mathematics at senior school stage intend to help the students:

• to acquire knowledge and critical understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles, symbols and mastery of underlying processes and skills.
• to feel the flow of reasons while proving a result or solving a problem.
• to apply the knowledge and skills acquired to solve problems and wherever possible, by more than one method.
• to develop positive attitude to think, analyze and articulate logically.
• to develop interest in the subject by participating in related competitions.
• to acquaint students with different aspects of Mathematics used in daily life.
• to develop an interest in students to study Mathematics as a discipline.
• to develop awareness of the need for national integration, protection of environment, observance of small family norms, removal of social barriers, elimination of gender biases.
• to develop reverence and respect towards great Mathematicians for their contributions to the field of Mathematics.