A SCHOOL OF COMPETITIONS
Class 11 Maths NCERT Solutions, Syllabus, Marks Distribution, Exam Pattern, and Chapter-Wise Weightage provide a complete roadmap for students preparing as per the CBSE curriculum. This category helps you understand what to study, how much weight each chapter carries, and how to prepare effectively for school exams as well as competitive exams of India. In this Class 11th Maths NCERT Solutions, Maths Anand Classes also covered topics based on the latest CBSE Class 11 Syllabus to help learners strengthen their fundamental understanding. Students can use Class 11 Maths NCERT solutions notes and other Class 11 Maths study materials to prepare for their Final Exams.
Along with detailed explanations and solved NCERT exercises, this section also provides a collection of JEE Previous Year Questions (PYQs) and IMU CET PYQs, helping students understand exam patterns and apply concepts in real exam scenarios
FAQs
Yes, they are sufficient for CBSE exams and provide a strong base for competitive exams.
Yes, NCERT concepts are fundamental for JEE and other exams.
Yes, all exercises including miscellaneous are covered.
Yes, the solutions are explained in a simple and clear manner.
Practice questions first, then use solutions to improve accuracy and understanding.
COURSE STRUCTURE : CLASS XI
Time : Three Hours
Max Marks : 80
| No. | Units | Marks |
| I. | Sets and Functions | 23 |
| II. | Algebra | 25 |
| III. | Coordinate Geometry | 12 |
| IV. | Calculus | 08 |
| V. | Statistics and Probability | 12 |
| Total | 80 | |
| Internal Assessment | 20 |
*No chapter/unit-wise weightage. Care to be taken to cover all the chapters.
1. 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 (up to $R \times R \times R$). 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 $\sin^{2}x + \cos^{2}x = 1$, for all $x$. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing $\sin (x \pm y)$ and $\cos (x \pm y)$ in terms of $\sin x, \sin y, \cos x$ & $\cos y$ and their simple applications. Deducing identities like the following:
1. Complex Numbers and Quadratic Equations Need for complex numbers, especially $\sqrt{-1}$, 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 ${}^{n}P_{r}$ and ${}^{n}C_{r}$ 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.
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.
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 slope of tangent of the curve, derivative of sum, difference, product and quotient of functions of polynomial and trigonometric functions.
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.
| Time: 3 hours Max. Marks: 80 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 organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 44 | 55 | ||
| 2 | Applying: Solve problems to 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 generalizationsEvaluating: Present and defend opinions by making judgments about information, validity of ideas, or 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 | |||
👉 Questions are a mix of conceptual, numerical, and application-based problems.
Yes, NCERT is sufficient for CBSE exams and builds a strong base for competitive exams.
Trigonometry, Sequences and Series, and Coordinate Geometry usually have higher weightage.
Start with NCERT, practice regularly, and focus on understanding concepts.
Yes, it forms the foundation for Class 12 and JEE-level mathematics.
Internal assessment carries 20 marks.
SETS NCERT Solutions Exercise 1.4 for Class 11 Maths focus on set operations such as union, intersection, difference, and complement. This exercise helps students apply concepts of sets in solving problems using formulas and Venn diagrams. It is an important part of Class 11 CBSE Mathematics and is highly useful for competitive exams of India.
SETS NCERT Solutions Miscellaneous Exercise for Class 11 Maths provides a complete set of mixed questions covering all concepts of the chapter. This exercise is designed to test your understanding of sets, subsets, set operations, Venn diagrams, and laws of sets in one place. It is highly useful for revision and competitive exam preparation for engineering entrance tests.
Sets Exercise 1.2 NCERT Solutions Class 11 Maths focuses on understanding different types of sets and their properties. This exercise helps students identify finite and infinite sets, equal and equivalent sets, and singleton and empty sets. It builds a strong conceptual base for advanced topics in set theory and is important for CBSE exams as well as competitive exams like JEE, NDA, IMUCET, and Merchant Navy entrance tests.
NCERT Solutions for Sets Exercise 1.3 Class 11 Maths focus on the concept of subsets, proper subsets, and the number of subsets of a set. This exercise is important for understanding relationships between sets and forms the base for set operations and advanced topics. It is highly useful for CBSE exams as well as competitive exams of India.
SETS NCERT Solutions Exercise 1.5 for Class 11 Maths focuses on advanced applications of set operations using Venn diagrams and real-life problems. This exercise helps students apply concepts like union, intersection, complement, and difference to solve complex questions. It is an important part of Class 11 CBSE Mathematics and is highly useful for competitive exams of India.
Sets Exercise 1.1 of Class 11 NCERT Mathematics is the starting point for understanding the fundamental concepts of set theory. In this exercise, students learn how to define sets, represent them using roster form and set-builder form, and identify elements of well-defined collections. It builds the base for advanced topics like subsets, set operations, and Venn diagrams. This section also includes a variety of solved examples, NCERT-based questions, and practice problems to strengthen conceptual clarity. It is highly useful for school exams as well as competitive exams of India.