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NCERT Class 11 Maths Solutions 2023 PDF

NCERT Class 11 Maths Solutions consists of all the solved questions given for each chapter. Students who are aspiring to score good marks in the board exams must definitely practice a lot of exercise questions. Sometimes the level of the questions is slightly difficult. So the students would require help from the NCERT Maths Book Class 11 Solutions. Maths is the most scoring subject in which the students can easily score full marks. So the Class 11 Maths NCERT Solutions Chapter 1 will guide the students to solve the difficult questions. We have provided the chapter-wise solutions of the class 11 Maths NCERT textbook for free pdf download.

NCERT Solutions for Class 11 Maths Chapter 1- Sets

Chapter 1 of NCERT Class 11 Maths textbook is about Sets. The topics included in the chapter are Empty set, Finite and Infinite sets, Equal sets, Subsets, Power set, and Universal set. The chapter also helps students learn to draw Venn diagrams as well as to get familiar with the concepts of Union and Intersection of sets. Students will learn about the different components and functions of Sets.

NCERT Solutions for Class 11 Maths Chapter 2 -Relations & Functions

In chapter 2 NCERT Maths class 11 students are taught about the concepts of Ordered pairs, Cartesian product of sets, the number of elements in the cartesian product of two finite sets, the definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Along with the topic of relation, students get to learn about the topic of functions as well. 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 are the few topics that come under the concept of Functions.

NCERT Solutions for Class 11 Maths Chapter 3 -Trigonometric Functions

Chapter 3 of NCERT Class 11 Maths deals with the definition of Trigonometric Functions with the help of unit circle, general solution of trigonometric equations, signs, domain, and range of Trigonometric Functions and their graphs. In this chapter, students are taught about the process of expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy along with their simple applications and deducing the identities, related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x.

NCERT Solutions for Class 11 Maths Chapter 4- Principle of Mathematical Induction

In chapter 4 NCERT Maths class 11 problems related to the Principle of Mathematical Induction, along with its simple applications are covered in the exercise given.

NCERT Solutions for Class 11 Maths Chapter 5 -Complex Numbers and Quadratic Equations

In chapter 5 NCERT class 11 Maths students are taught about the algebraic properties of complex numbers, argand plane, and polar representation of complex numbers. Statement of the fundamental theorem of algebra, solutions of quadratic equations (with real coefficients) in the complex number system, and the square root of a complex number.

NCERT Solutions for Class 11 Maths Chapter 6- Linear Inequalities

In chapter 6 NCERT Maths concepts of algebraic solutions of Linear Inequalities in one variable and their representation on the number line, graphical representation of Linear Inequalities in two variables as well as the graphical method of finding a solution of the system of Linear Inequalities in two variables.

NCERT Solutions for Class 11 Maths Chapter 7 -Permutations and Combinations

NCERT Class 11 Maths Chapter 7 Solutions discusses everything about the Fundamental principle of counting, factorial n. (n!), permutations, combinations, derivation of formulae and their connections along with simple applications. A permutation is an arrangement of a number of objects in a definite order taken at a time whereas a Combination is a collection of the objects where the order doesn’t matter.

NCERT Solutions for Class 11 Maths Chapter 8- Binomial Theorem

Chapter 8 of NCERT Class 11 Maths Solutions discusses the history, statement, and proof of the Binomial Theorem for positive integral indices. Pascal’s triangle, general and middle term in the binomial expansion, and their simple applications are some topics that are explained, in detail, in this chapter.

NCERT Solutions for Class 11 Maths Chapter 9 -Sequences and Series

NCERT Class 11 Maths Chapter 9 Solutions discusses the following topics which include Sequence and Series, Arithmetic Progression (A. P.), Arithmetic Mean (A.M.), Geometric Progression (G.P.), general term of a G.P., the sum of first n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), the relation between A.M. and G.M, formulae for the special series sums and more.

NCERT Solutions for Class 11 Maths Chapter 10 -Straight Lines

In chapter 10 NCERT Maths Class 11 Solutions, students are taught about the concepts like Shifting of origin, the slope of a line and angle between two lines, various forms of equations of a line including the ones parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form, and normal form.

NCERT Solutions for Class 11 Maths Chapter 11 -Conic Sections

In this chapter, we discuss the sections of a cone, namely, circle, ellipse, parabola, hyperbola, a point, a straight line, and a pair of intersecting lines as a degenerate case of a conic section. Standard equations and simple properties of circle, parabola, ellipse, and hyperbola are also explained in the chapter.

NCERT Solutions for Class 11 Maths Chapter 12- Introduction to Three-Dimensional Geometry

In chapter 12 NCERT Maths Class 11 Solution, students are taught about the basic concepts of geometry in three-dimensional space. The chapter discusses the concept of coordinate axes and coordinate planes in three dimensions, coordinates of a point, distance between two points, and section formula, in detail.

NCERT Solutions for Class 11 Maths Chapter 13- Limits and Derivatives

This is an important chapter of Calculus.  Limits and Derivatives provides an introduction to Calculus. Calculus is a branch of Maths dealing with the study of change in the value of a function as the points in the domain change. In this chapter, initially, students gain an intuitive idea of derivatives (without actually defining them).

NCERT Solutions for Class 11 Maths Chapter 14 -Mathematical Reasoning

In chapter 14 the students are given a detailed knowledge about mathematically acceptable statements, connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists”, validating the statements involving the connecting words, and more.

NCERT Solutions for Class 11 Maths Chapter 15 -Statistics

In this chapter, we shall learn some of the important measures of dispersion and their methods of calculation for ungrouped and grouped data. The topics that students learn in the chapter include measures of dispersion, range, mean deviation, variance, and standard deviation of ungrouped/grouped data and analysis of frequency distributions with equal means but different variances.

NCERT Solutions for Class 11 Maths Chapter 16 -Probability

In chapter 16, the final chapter of NCERT Class 11 Maths textbook, we discuss the concept of probability as a measure of uncertainty of various phenomena or simply, chances of occurrence of an event. In this chapter, students will learn the concepts such as random experiments; outcomes, sample spaces (set representation) and Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories studied in earlier classes.

NCERT Solutions for Class 11 Maths All Chapters

NCERT Maths Class 11 Solutions are given below for all chapters. Students can click on the link of the respective chapter number to download Class 11 Maths NCERT chapter-wise solutions.