NCERT Solutions for Class 11 Mathematics provide detailed, step-by-step answers to all textbook questions. The book has 14 chapters covering topics such as sets, algebra, trigonometry, geometry, limits and derivatives, the binomial theorem, and probability. Since Class 11 Maths requires consistent practice, these solutions serve as a great tool that helps improve your speed and accuracy.
Our NCERT solutions are useful for understanding basic concepts as well as preparing for entrance exams. All exercises are explained in a simple and clear way, making Mathematics easier and more engaging.
NCERT Solutions for Class 11 Maths Latest Chapter wise 2026 27
| S.No. | Chapter Name & Topic |
| 1 | Chapter 1 - Sets |
| 2 | Chapter 2 - Relations and Functions |
| 3 | Chapter 3 - Trigonometric Functions |
| 4 | Chapter 4 - Complex Numbers and Quadratic Equations |
| 5 | Chapter 5 - Linear Inequalities |
| 6 | Chapter 6 - Permutations and Combinations |
| 7 | Chapter 7 - Binomial Theorem |
| 8 | Chapter 8 - Sequences and Series |
| 9 | Chapter 9 - Straight Lines |
| 10 | Chapter 10 - Conic Sections |
| 11 | Chapter 11 - Introduction to Three Dimensional Geometry |
| 12 | Chapter 12 - Limits and Derivatives |
| 13 | Chapter 13 - Statistics |
| 14 | Chapter 14 - Probability |
Chapter-wise NCERT Solutions for Class 11 Mathematics Overview
Chapter 1 - Sets
The first chapter introduces the concept of a set as a collection of different objects. Students learn different ways to represent sets, mainly roster form and set-builder form, along with special types such as empty sets, finite and infinite sets, equal sets, subsets, and universal sets. The chapter also covers operations on sets including union, intersection, and difference, and explains the complement of a set. It also teaches venn diagrams for better understanding.
Chapter 2 - Relations and Functions
This chapter explains how mathematical relationships are formed between elements of two sets using ordered pairs. Students learn the concept of Cartesian product of sets and how a relation is any subset of this product. The chapter introduces important concepts like domain, codomain, and range of a relation, along with different ways of representing relations.
It then defines a function as a special type of relation in which every element of the domain has exactly one image in the codomain. The chapter also discusses different types of functions and their representations using mappings and algebraic forms.
Chapter 3 - Trigonometric Functions
Trigonometric Functions expand the study of trigonometry from right-angled triangles to functions defined for all real numbers using the unit circle. Students learn measurement of angles in degrees and radians and the relationship between them, along with conversion methods.
The chapter defines trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent, and explains their values using the unit circle concept. It also covers the domain, range, and signs of these functions in different quadrants. It also covers important trigonometric identities like Pythagorean identities and reciprocal relations. These ideas are important for solving equations, and they form a strong foundation for calculus and advanced mathematics.
Chapter 4 - Complex Numbers and Quadratic Equations
Chapter 4 introduces complex numbers as an extension of the real number system to allow solutions for equations that have no real roots. Students learn about the concept of the imaginary unit iii, and how complex numbers are written.
The chapter covers basic algebraic operations on complex numbers, including addition, subtraction, multiplication, division, conjugates, and modulus. It also includes geometric representation on the Argand plane. The chapter further discusses quadratic equations and solving them using standard methods. It helps in understanding the nature of roots, especially when the roots are complex.
Chapter 5 - Linear Inequalities
This chapter teaches mathematical statements that compare two expressions using inequality symbols. Students learn how to solve linear inequalities in one variable and represent their solution sets on a number line using intervals.
The chapter explains important algebraic rules, including the fact that adding or subtracting the same number on both sides does not change the inequality, but multiplying or dividing by a negative number reverses the inequality sign. It also goes into linear inequalities in two variables, where solutions are represented as shaded regions on the Cartesian plane.
Chapter 6 - Permutations and Combinations
Permutations and Combinations teaches about fundamental counting principles used to determine the number of possible arrangements and selections of objects without listing them one by one. It introduces the fundamental principle of counting, followed by factorial notation (n!) as the basis for all counting techniques. Students learn permutations, which refer to arrangements where order matters, and combinations, which refer to selections where order does not matter. The chapter also explains the relationship between permutations and combinations and how both are applied to solve counting problems such as arrangements, grouping, and probability situations.
Chapter 7 - Binomial Theorem
Chapter 7 introduces binomial coefficients, which form the pattern of terms in the expansion and can be arranged using Pascal’s Triangle. Students learn how to write the general term of a binomial expansion and identify specific terms without fully expanding the expression. The chapter also teaches important properties of binomial coefficients such as symmetry and their relationship with combinations. These ideas help in simplifying large algebraic expressions and are used in probability, algebra, and advanced mathematics.
Chapter 8 - Sequences and Series
This chapter discusses ordered arrangements of numbers that follow specific patterns, called sequences, and the sums formed from these sequences, called series. Students learn how sequences can be finite or infinite and how each term follows a definite rule. The chapter covers important types of sequences such as arithmetic progression and geometric progression. It also introduces arithmetic mean and geometric mean and explains how these concepts help in constructing and understanding patterns.
Chapter 9 - Straight Lines
The chapter Straight Lines is about the study of straight lines using coordinate geometry. Students learn how algebra and geometry are connected through the concept of slope, which measures the inclination of a line with respect to the x-axis.
The chapter explains different forms of the equation of a line, including slope-intercept form, point-slope form, two-point form, and intercept form, and how each is used depending on the given information. It also covers important concepts such as angle between two lines, conditions for parallel and perpendicular lines, and the distance of a point from a line.
Chapter 10 - Conic Sections
Chapter 10 teaches curves formed when a plane intersects a double-napped right circular cone. Students learn about the four main conic sections: circle, parabola, ellipse, and hyperbola. The chapter explains how each conic is formed based on the angle and position of the intersecting plane, and introduces important concepts such as focus, directrix, axis, vertex, and eccentricity that describe their geometric properties. It also includes graphical representation. These ideas are used in planetary motion, satellite paths, optics, and engineering design.
Chapter 11 - Introduction to Three Dimensional Geometry
This chapter further discusses coordinate geometry from two dimensions into three-dimensional space, where the position of a point is represented using an ordered triple (x, y, z). Students learn about the rectangular coordinate system in 3D, including the x-axis, y-axis, and z-axis, which are mutually perpendicular and intersect at the origin.
The chapter explains the concept of coordinate planes (XY, YZ, and ZX planes) and how they divide space into eight regions called octants. It also introduces the method of locating points in space and interpreting their positions geometrically. It also teaches the distance between two points in three-dimensional space using coordinate differences.
Chapter 12 - Limits and Derivatives
Chapter 12 introduces the fundamental ideas of calculus, focusing on how functions behave as their input values approach a particular point. Students learn the concept of a limit, which describes the value a function tends to approach, along with left-hand and right-hand limits and the conditions for their equality. The chapter teaches the algebra of limits, helping evaluate limits of polynomial and rational functions. It then discusses the derivative as a measure of the instantaneous rate of change of a function, defined using limits. Students also learn basic rules of differentiation for algebraic and trigonometric functions.
Chapter 13 - Statistics
Chapter 13 is about the methods of collecting, organizing, presenting, and interpreting data to draw meaningful conclusions. Students learn how data is summarized using measures of central tendency and how its variability is measured using measures of dispersion.
The chapter helps in understanding how spread out data values are around an average value. It introduces important measures such as range, mean deviation, variance, and standard deviation, along with their calculation for ungrouped data. The chapter also explains how these measures help compare different datasets and interpret real-world information more effectively.
Chapter 14 - Probability
The last chapter discusses probability as a mathematical framework to measure uncertainty and chance in random experiments. Students learn about random experiments, sample space, outcomes, and events, along with different types of events including impossible, sure, simple, compound, mutually exclusive, and exhaustive events.
The chapter explains events using a set-theoretic approach, where operations like union, intersection, and complement help describe relationships between events. It also presents the axiomatic approach to probability, where probability is assigned to outcomes in a way that satisfies basic rules such as total probability being 1 and values lying between 0 and 1. Students apply these ideas to calculate probabilities of events in simple situations using equally likely outcomes.
