Maths Class 11 NCERT Solutions: Important Chapters & Exercises

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Maths Class 11 NCERT Solutions have been provided in the article. Class 11 Maths Solutions also cover important questions, multiple choice questions, and important formulae. The NCERT Solutions for class 11 maths has been curated as per the newly updated Class 11 CBSE syllabus. All the chapterwise NCERT solutions and additional resources such as chapter notes and handwritten notes are provided in a PDF format for students to download.

Maths Class 11 NCERT Chapter-wise Solutions

Maths Class 11 NCERT Solutions have been provided below:

NCERT Solutions for class 11 Mathematics chapter 1: Sets NCERT Solutions for class 11 Mathematics chapter 2: Relations and Functions NCERT Solutions for class 11 Mathematics chapter 3: Trigonometric Functions NCERT Solutions for class 11 Mathematics chapter 4: Principle of Mathematical Induction (Omitted) NCERT Solutions for class 11 Mathematics chapter 5: Complex Numbers and Quadratic Equations NCERT Solutions for class 11 Mathematics chapter 6: Linear Inequalities NCERT Solutions for class 11 Mathematics chapter 7: Permutations and Combinations NCERT Solutions for class 11 Mathematics chapter 8: Binomial Theorem NCERT Solutions for class 11 Mathematics chapter 9: Sequences and Series NCERT Solutions for class 11 Mathematics chapter 10: Straight Lines NCERT Solutions for class 11 Mathematics chapter 11: Conic Sections NCERT Solutions for class 11 Mathematics chapter 12: Introduction to Three Dimensional Geometry NCERT Solutions for class 11 Mathematics chapter 13: Limits and Derivatives NCERT Solutions for class 11 Mathematics chapter 14: Mathematical Reasoning (Omitted) NCERT Solutions for class 11 Mathematics chapter 15: Statistics NCERT Solutions for class 11 Mathematics chapter 16: Probability

Maths Class 11 NCERT Solutions: Chapter-wise Important Notes

Maths Class 11 NCERT Solutions Chapter-wise Important Notes have been provided below:

Chapter 1: Sets

Set refers to a collection of objects like geometrical shapes, points in space, alphabetical letters, numbers, symbols, etc.

Weightage: This chapter belongs to the Unit I: Sets and Functions. This unit alone holds a total weightage of 23 Marks.
Important Topics of the Chapter:

NCERT Chapter 1 Exercise Solutions:

Chapter 2: Relations and Functions

Relations and functions are useful to solve equations with elements having a 'cause & effect' dependent relation. In algebra, relation & function are connected to the set of any ordered pairs.

Weightage: This chapter belongs to the Unit I: Sets and Functions. This unit alone holds a total weightage of 23 Marks.
Important Topics:

NCERT Chapter 2 Exercise Solutions:

Chapter 3: Trigonometric Functions

Relationship between the sides and angles of a right-angle triangle is described by trigonometry functions, also known as circular functions.

Weightage: This chapter belongs to the Unit I: Sets and Functions. This unit alone holds a total weightage of 23 Marks.
Important Topics:

NCERT Chapter 3 Exercise Solutions:

Please note: As per updated Class XI Math Syllabus, Chapter 4: Principle of Mathematical Induction has been removed.

Chapter 5: Complex Numbers and Quadratic Equations

Complex numbers can be written as a+ib. A quadratic equation is a polynomial with two roots or a degree of two.

Weightage: This chapter belongs to the Unit II: Algebra. This unit alone holds a total weightage of 25 Marks.
Important Topics:

NCERT Chapter 5 Exercise Solutions:

Chapter 6: Linear Inequalities

Linear inequalities are expressions where there is a comparison between two values by the inequality symbols like, ‘<’, ‘>’, ‘≤’ or ‘≥’.

Weightage: This chapter belongs to the Unit II: Algebra. This unit alone holds a total weightage of 25 Marks.
Important Topics:
- Linear inequalities
- Solving Inequalities
- Algebraic solutions of linear inequalities in one variable and their representation on the number line
- Linear Inequalities Important Questions

NCERT Chapter 6 Exercise Solutions:

Chapter 7: Permutations and Combinations

Permutation and Combination are used to determine the number of ways in which a number can be arranged and selected without listing them out. Permutation and combinations are basic methods of counting.

Weightage: This chapter belongs to the Unit II: Algebra. This unit alone holds a total weightage of 25 Marks.
Important Topics:

NCERT Chapter 7 Exercise Solutions:

Chapter 8: Binomial Theorem

Binomial Theorem can be used for the algebraic expansion of binomial (a+b) for a positive integral exponent n.

Weightage: This chapter belongs to the Unit II: Algebra. This unit alone holds a total weightage of 25 Marks.
Important Topics:

NCERT Chapter 8 Exercise Solutions:

Chapter 9: Sequences and Series

A sequence is an itemised collection of elements that allows any type of repetition, whereas a series is the sum of all elements. One of the most common instances of sequence and series is an arithmetic progression. The sum of all the terms in a sequence can be used to generalise a series.

Weightage: This chapter belongs to the Unit II: Algebra. This unit alone holds a total weightage of 25 Marks.
Important Topics:

NCERT Chapter 9 Exercise Solutions:

Chapter 10: Straight Lines

A straight line is a path traced by a point moving in a steady direction with zero curvature.

Weightage: This chapter belongs to the Unit III: Coordinate Geometry. This unit alone holds a total weightage of 12 Marks.
Important Topics:

NCERT Chapter 10 Exercise Solutions:

Chapter 11: Conic Sections

Conic section is a curve that is formed by intersecting a plane with a cone. The curves that are formed are circle, ellipse, parabola and hyperbola. These curves are used in various fields for the designing of different types of equipment like antennas, telescopes, reflectors, etc.

Weightage: This chapter belongs to the Unit III: Coordinate Geometry. This unit alone holds a total weightage of 12 Marks.
Important Topics:
- Circles
- Ellipse
- Parabola
- Hyperbola
- Eccentricity
- Locus
- Eccentricity of Ellipse
- Latus rectum of Ellipse
- Parabola Formula
- Latus rectum of Hyperbola
- Conic Sections Important Questions

NCERT Chapter 11 Exercise Solutions:

Chapter 12: Introduction to Three Dimensional Geometry

In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are three mutually perpendicular lines.

Weightage: This chapter belongs to the Unit III: Coordinate Geometry. This unit alone holds a total weightage of 12 Marks.
Important Topics:

NCERT Chapter 12 Exercise Solutions:

Chapter 13: Limits and Derivatives

A limit is defined as a value that a function approaches as the input, and it produces some value. A derivative refers to the instantaneous rate of change of a quantity with respect to the other.

Weightage: This chapter belongs to the Unit IV: Calculus. This unit alone holds a total weightage of 08 Marks.
Important Topics:

NCERT Chapter 13 Exercise Solutions:

Chapter 14: Mathematical Reasoning

Mathematical reasoning is associated with determining the accuracy values of any mathematical propositions.

Important Topics:

NCERT Chapter 14 Exercise Solutions:

Please note: As per updated Class XI Math Syllabus, Chapter 14: Mathematical Reasoning has been removed.

Chapter 15: Statistics

Statistics in mathematics, collects, analyzes, organizes, and interprets different types of data holding immense value in scientific, economic, social, as well as in industrial studies.

Weightage: This chapter belongs to the Unit V: Statistics and Probability. This unit alone holds a total weightage of 08 Marks.
Important Topics:

NCERT Chapter 15 Exercise Solutions:

Chapter 16: Probability

Probability is a measure of the likelihood of an event occurring.

Weightage: This chapter belongs to the Unit V: Statistics and Probability. This unit alone holds a total weightage of 08 Marks.
Important Topics:
- Event
- Types of events
- Probability distribution
- Multiplication Rule of Probability
- Coin toss probability formula
- Empirical Probability Formula
- Sample Space
- Probability Important Questions

NCERT Chapter 16 Exercise Solutions:

Also Read:

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Difference Between Topics in Maths	Math Study Material	Arithmetic

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Class 11 & 12 PCMB Study Guides
Class 11 Notes	NCERT Solutions for Class 12 Maths	SI units in Physics
Topics for Comparison in Physics	Class 12 Maths Notes	Important Physics Constants and Units
Class 12 Biology Notes	Important Derivations in Physics	Important Chemical Reactions
Formulas in Physics	NCERT Solutions for Class 12 English	NCERT Solutions for Class 12 Biology
Class 12 Chemistry Notes	NCERT Solutions for Class 12 Physics	NCERT Class 12 Maths Book
Topics with relation in physics	NCERT Class 11 Physics Book	NCERT Solutions for Class 12 Chemistry
Choice based questions in physics	Class 12 Physics Practicals	Class 12 Physics Book PDF
NCERT Solutions for Class 11 Chemistry	Chemistry MCQs	NCERT Solutions for Class 11 English
NCERT Class 11 Chemistry Book	NCERT Class 11 Biology Book	Class 12 Physics Notes
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NCERT Class 12 Textbooks	Physics Study Notes	Biology Study Notes
NCERT Class 12 Biology Book	Comparison Topics in Biology	Comparison topics in Chemistry
Chemistry Study Notes	Class 12 Chemistry Practicals	Periodic Table in Chemistry
Important Named Reactions	NCERT Solutions for Class 11 Biology	Class 12 PCMB Notes

CBSE CLASS XII Related Questions

1.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:
- \(-\frac{\pi}{2}\)
- \(-\frac{\pi}{4}\)
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{2}\)
View Solution
2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]
View Solution
3.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).
- \(0\)
- \(-2\)
- \(-1\)
- \(2\)
View Solution
4.
An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.
Based on the above information, answer the following questions :
5.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :
6.
Which of the following equations is NOT a Linear Differential Equation?
- \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
- \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
- \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
- \(y \, dx - (x + 3y^2) \, dy = 0\)
View Solution