NCERT Solutions for Class 11 Maths (with Examples) - Teachoo [2024] (2024)

Updated according to new NCERT - 2023-24 NCERT Books.

Get NCERT solutions for Class 11 Maths Free with videos. All exercise questions, supplementary questions, examples and miscellaneous are solved with important questions marked.

Most of the chapters we will study in Class 11 forms a base of what we will study in Class 12. Forming a good base in Class 11 is important for good marks Class 12 Boards.

In each chapter, we have divided it into two parts - Serial Order Wise and Concept Wise.

Serial Order Wise is studying the chapter from the NCERT Book. This is useful when you want to look for a particular question or example.

Concept Wise is the Teachoo (टीचू) way of doing the chapter. First a topic is explained, and then their questions of that topic - from easy to difficult.

We suggest you do all the chapters from Concept Wise, so that your concepts are cleared. Which is important in competitive exams like JEE, GRE, GMAT as well as in Class 12.

In this class, the chapters and their topics include

1. Chapter 1Sets – What are sets, Roster & Set-builder form, Types of sets - Empty Set, Equal set, Finite & Infinite sets, Subsets, Universal Set, Power Set, Intervals, Venn Diagrams, Operation of sets - Intersection, Union, Complement, Difference
2. Chapter 2Relations and Functions – Cartesian Product of sets, Relation - domain, range, co-domain, number of relations, Functions - graph&algebra.
3. Chapter 3Trigonometric Functions – Degree to Radian conversion, Trigometric Functions, Sign of sin, cos, tan in Different Quadrants, Trigonometry Formulas, Trigonometric Equation - Principal & General Solutions.
4. Chapter 4Principle of Mathematical Induction – Proving P(1) true, then taking P(n) as true, we prove P(n+1) true.
5. Chapter 5Complex Numbers and Quadratic Equations – What is iota(i) - Square root of negative number, Finding roots of quadratic equations, Modulus & Conjugate of complex number and Polar Representation of Complex number.
6. Chapter 6Linear Inequalities – Algebraic & Graphical solution of Linear inequalities in one and two variables
7. Chapter 7Permutations and Combinations – Fundamental principle of counting, permutation - no repetition, repetition. Permuation formula, Factorial, Combination Formula
8. Chapter 8Binomial Theorem – Expanding terms, General term & Coefficient, Term independent of x, Middle term, Approximate numbers using first terms of expansion.
9. Chapter 9Sequences and Series – Arithmetic Progressions (AP), Geometric Progressions (GP), Arithmetic Mean (AM), Geometric Mean (GM), Inserting AP & GP between two numbers, Relationship between AM & GM. Sum of n terms, n² terms, n³ terms, Finding sum of series.
10. Chapter 10Straight Lines – Finding slope of line using angle and points, Finding angle between two lines, Proving lines perpendicular or parallel, Finding Equation of lines - Two point form, Slope-intercept form, Intercept form, General Form, Normal Form, Distance of point from line, Distance between two parallel lines
11. Chapter 11Conic Sections – Finding equation, focus, directrix, center, vertex of Circle, Parabola, Ellipse, Hyperbola
12. Chapter 12Introduction to Three Dimensional Geometry – XYZ axis, octants and sign of co-ordinates in the octant, Distance between points and Section Formula
13. Chapter 13Limits and Derivatives – Limits of polynomial and trigonometric functions, Left Hand Limit & Right hand limit, Limit using formulas, Derivative by first principle, Finding derivative of polynomial and trigonometric functions by formula
14. Chapter 14Mathematical Reasoning – What is statment, Negation of statement, Compound statements and its component statements, Implications "If, only if & if and only if", "And , or , there exists, for every " in compound statements, Validating statements by
    1. Direct Method
    2. Contrapositive method
    3. Contradiction
    4. Using counter example
15. Chapter 15Statistics – Mean deviation about mean and median for raw, ungrouped & grouped data. Finding variance & standard deviation of discrete & continuous frequency distribution with Shortcut Method, Coefficient of Variation (CV)
16. Chapter 16Probability – Finding Sample space, Event & types of event - Impossible & sure events, simple event, compound event, Mutually Exclusive & Exhaustive events, Probability of event 'A or B', 'A and B', Probability of event not A

Click on a chapter link below to start doing the chapter.

Updated according to new NCERT - 2023-24 NCERT Books.

Get NCERT solutions for Class 11 Maths Free with videos. All exercise questions, supplementary questions, examples and miscellaneous are solved with important questions marked.

Most of the chapters we will study in Class 11 forms a base of what we will study in Class 12. Forming a good base in Class 11 is important for good marks Class 12 Boards.

In each chapter, we have divided it into two parts - Serial Order Wise and Concept Wise.

Serial Order Wise is studying the chapter from the NCERT Book. This is useful when you want to look for a particular question or example.

Concept Wise is the Teachoo (टीचू) way of doing the chapter. First a topic is explained, and then their questions of that topic - from easy to difficult.

We suggest you do all the chapters from Concept Wise, so that your concepts are cleared. Which is important in competitive exams like JEE, GRE, GMAT as well as in Class 12.

In this class, the chapters and their topics include

1. Chapter 1Sets – What are sets, Roster & Set-builder form, Types of sets - Empty Set, Equal set, Finite & Infinite sets, Subsets, Universal Set, Power Set, Intervals, Venn Diagrams, Operation of sets - Intersection, Union, Complement, Difference
2. Chapter 2Relations and Functions – Cartesian Product of sets, Relation - domain, range, co-domain, number of relations, Functions - graph&algebra.
3. Chapter 3Trigonometric Functions – Degree to Radian conversion, Trigometric Functions, Sign of sin, cos, tan in Different Quadrants, Trigonometry Formulas, Trigonometric Equation - Principal & General Solutions.
4. Chapter 4Principle of Mathematical Induction – Proving P(1) true, then taking P(n) as true, we prove P(n+1) true.
5. Chapter 5Complex Numbers and Quadratic Equations – What is iota(i) - Square root of negative number, Finding roots of quadratic equations, Modulus & Conjugate of complex number and Polar Representation of Complex number.
6. Chapter 6Linear Inequalities – Algebraic & Graphical solution of Linear inequalities in one and two variables
7. Chapter 7Permutations and Combinations – Fundamental principle of counting, permutation - no repetition, repetition. Permuation formula, Factorial, Combination Formula
8. Chapter 8Binomial Theorem – Expanding terms, General term & Coefficient, Term independent of x, Middle term, Approximate numbers using first terms of expansion.
9. Chapter 9Sequences and Series – Arithmetic Progressions (AP), Geometric Progressions (GP), Arithmetic Mean (AM), Geometric Mean (GM), Inserting AP & GP between two numbers, Relationship between AM & GM. Sum of n terms, n² terms, n³ terms, Finding sum of series.
10. Chapter 10Straight Lines – Finding slope of line using angle and points, Finding angle between two lines, Proving lines perpendicular or parallel, Finding Equation of lines - Two point form, Slope-intercept form, Intercept form, General Form, Normal Form, Distance of point from line, Distance between two parallel lines
11. Chapter 11Conic Sections – Finding equation, focus, directrix, center, vertex of Circle, Parabola, Ellipse, Hyperbola
12. Chapter 12Introduction to Three Dimensional Geometry – XYZ axis, octants and sign of co-ordinates in the octant, Distance between points and Section Formula
13. Chapter 13Limits and Derivatives – Limits of polynomial and trigonometric functions, Left Hand Limit & Right hand limit, Limit using formulas, Derivative by first principle, Finding derivative of polynomial and trigonometric functions by formula
14. Chapter 14Mathematical Reasoning – What is statment, Negation of statement, Compound statements and its component statements, Implications "If, only if & if and only if", "And , or , there exists, for every " in compound statements, Validating statements by
    1. Direct Method
    2. Contrapositive method
    3. Contradiction
    4. Using counter example
15. Chapter 15Statistics – Mean deviation about mean and median for raw, ungrouped & grouped data. Finding variance & standard deviation of discrete & continuous frequency distribution with Shortcut Method, Coefficient of Variation (CV)
16. Chapter 16Probability – Finding Sample space, Event & types of event - Impossible & sure events, simple event, compound event, Mutually Exclusive & Exhaustive events, Probability of event 'A or B', 'A and B', Probability of event not A

Click on a chapter link below to start doing the chapter.