NCERT Solutions for Class 12 Maths PDF - All Chapters - Free PDF Download
JEE Mains & AdvancedHey are you a class 12 Student and looking for ways to Download NCERT Solutions for Class 12 Maths in PDF to start your Preparations? If yes then Don’t worry you are at the right place.
If you want to score high in your class 12 Maths Exam then it is very important for you to have a good knowledge of all the important topics, so to learn and practice those topics you can use eSaral NCERT Solutions.
In this post We have listed NCERT Solutions for Class 12 Maths all Chapters in PDF Form that are prepared by Kota’s top IITian’s Faculties in a well Structured Format by keeping Simplicity in mind.
So, Without Wasting More Time Lets start.
Table of contents
-
NCERT Solutions for Class 12 Maths PDF Chapterwise Free Download
-
CBSE Class 12 Math Syllabus
-
Class 12 Math Units
-
Benefits of NCERT Solutions For Class 12 Math
-
FAQs
NCERT Solutions for Class 12 Maths PDF Chapterwise Free Download
- Chapter 1 - Relations and Functions
- Chapter 2 - Inverse Trigonometric Functions
- Chapter 3 - Matrices
- Chapter 4 - Determinants
- Chapter 5 - Continuity and differentiability
- Chapter 6 - Application of Derivatives
- Chapter 7 - Integrals
- Chapter 8 - Application of Integrals
- Chapter 9 - Differential equations
- Chapter 10 - Vector Algebra
- Chapter 11 - Three Dimensional geometry
- Chapter 12 - Linear Programming
- Chapter 13 - Probability
NCERT Class 12 Maths Chapter 1 All Exercise Solutions
- Class 12 maths Chapter 1 exercise 1.1
- Class 12 maths Chapter 1 exercise 1.2
- Class 12 maths Chapter 1 exercise 1.3
- Class 12 maths Chapter 1 exercise 1.4
- Class 12 maths Chapter 1 Miscellaneous exercise
NCERT Class 12 Maths Chapter 2 All Exercise Solutions
- Class 12 maths Chapter 2 exercise 2.1
- Class 12 maths Chapter 2 exercise 2.2
- Class 12 maths Chapter 2 Miscellaneous exercise
NCERT Class 12 Maths Chapter 3 All Exercise Solutions
- Class 12 maths Chapter 3 exercise 3.1
- Class 12 maths Chapter 3 exercise 3.2
- Class 12 maths Chapter 3 exercise 3.3
- Class 12 maths Chapter 3 exercise 3.4
- Class 12 maths Chapter 3 Miscellaneous exercise
NCERT Class 12 Maths Chapter 4 All Exercise Solutions
- Class 12 maths Chapter 4 exercise 4.1
- Class 12 maths Chapter 4 exercise 4.2
- Class 12 maths Chapter 4 exercise 4.3
- Class 12 maths Chapter 4 exercise 4.4
- Class 12 maths Chapter 4 exercise 4.5
- Class 12 maths Chapter 4 exercise 4.6
- Class 12 maths Chapter 4 Miscellaneous exercise
NCERT Class 12 Maths Chapter 5 All Exercise Solutions
- Class 12 maths Chapter 5 exercise 5.1
- Class 12 maths Chapter 5 exercise 5.2
- Class 12 maths Chapter 5 exercise 5.3
- Class 12 maths Chapter 5 exercise 5.4
- Class 12 maths Chapter 5 exercise 5.5
- Class 12 maths Chapter 5 exercise 5.6
- Class 12 maths Chapter 5 exercise 5.7
- Class 12 maths Chapter 5 exercise 5.8
- Class 12 maths Chapter 5 Miscellaneous exercise
NCERT Class 12 Maths Chapter 6 All Exercise Solutions
- Class 12 maths Chapter 6 exercise 6.1
- Class 12 maths Chapter 6 exercise 6.2
- Class 12 maths Chapter 6 exercise 6.3
- Class 12 maths Chapter 6 exercise 6.4
- Class 12 maths Chapter 6 exercise 6.5
- Class 12 maths Chapter 6 Miscellaneous exercise
NCERT Class 12 Maths Chapter 7 All Exercise Solutions
- Class 12 maths Chapter 7 exercise 7.1
- Class 12 maths Chapter 7 exercise 7.2
- Class 12 maths Chapter 7 exercise 7.3
- Class 12 maths Chapter 7 exercise 7.4
- Class 12 maths Chapter 7 exercise 7.5
- Class 12 maths Chapter 7 exercise 7.6
- Class 12 maths Chapter 7 exercise 7.7
- Class 12 maths Chapter 7 exercise 7.8
- Class 12 maths Chapter 7 exercise 7.9
- Class 12 maths Chapter 7 exercise 7.10
- Class 12 maths Chapter 7 exercise 7.11
- Class 12 maths Chapter 7 Miscellaneous exercise
NCERT Class 12 Maths Chapter 8 All Exercise Solutions
- Class 12 maths Chapter 8 exercise 8.1
- Class 12 maths Chapter 8 exercise 8.2
- Class 12 maths Chapter 8 Miscellaneous exercise
NCERT Class 12 Maths Chapter 9 All Exercise Solutions
- Class 12 maths Chapter 9 exercise 9.1
- Class 12 maths Chapter 9 exercise 9.2
- Class 12 maths Chapter 9 exercise 9.3
- Class 12 maths Chapter 9 exercise 9.4
- Class 12 maths Chapter 9 exercise 9.5
- Class 12 maths Chapter 9 exercise 9.6
- Class 12 maths Chapter 9 Miscellaneous exercise
NCERT Class 12 Maths Chapter 10 All Exercise Solutions
- Class 12 maths Chapter 10 exercise 10.1
- Class 12 maths Chapter 10 exercise 10.2
- Class 12 maths Chapter 10 exercise 10.3
- Class 12 maths Chapter 10 exercise 10.4
- Class 12 maths Chapter 10 Miscellaneous exercise
NCERT Class 12 Maths Chapter 11 All Exercise Solutions
- Class 12 maths Chapter 11 exercise 11.1
- Class 12 maths Chapter 11 exercise 11.2
- Class 12 maths Chapter 11 exercise 11.3
- Class 12 maths Chapter 11 Miscellaneous exercise
NCERT Class 12 Maths Chapter 12 All Exercise Solutions
- Class 12 maths Chapter 12 exercise 12.1
- Class 12 maths Chapter 12 exercise 12.2
- Class 12 maths Chapter 12 Miscellaneous exercise
NCERT Class 12 Maths Chapter 13 All Exercise Solutions
- Class 12 maths Chapter 13 exercise 13.1
- Class 12 maths Chapter 13 exercise 13.2
- Class 12 maths Chapter 13 exercise 13.3
- Class 12 maths Chapter 13 exercise 13.4
- Class 12 maths Chapter 13 exercise 13.5
- Class 12 maths Chapter 13 Miscellaneous exercise
CBSE Class 12 Math Syllabus
UNIT | TOPICS |
Unit-I: Sets and Functions | Sets
|
Unit-II: Algebra | Principle of Mathematical Induction · Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.The principle of mathematical induction and simple applications Complex Numbers and Quadratic Equations Need for complex numbers, especially √−1 , to be motivated by inability to solve some of the Quardratic equations. Algebraic properties of complex numbers.Argand plane and polar representation of complex numbers.Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.Square root of a complex number. Linear Inequalities · Linear inequalities.Algebraic solutions of linear inequalities in one variable and their representation on the number line.Graphical solution of linear inequalities in two variables.Graphical method of finding a solution of system of linear inequalities in two variables Permutations and Combinations ·Fundamental principle of counting.Factorialn. (n!) Permutations and combinations, derivation of Formulae for n h and their connections, simple applications. Binomial Theorem History, statement and proof of the binomial theorem for positive integral indices.Pascal's triangle, General and middle term in binomial expansion, simple applications. Sequence and Series · Sequence and Series. Arithmetic Progression (A. P.). 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 |
Unit-III: Coordinate Geometry | Straight Lines · Brief recall of two dimensional geometry from earlier classes. Shifting of origin. 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 and normal form. General equation of a line.Equation of family of lines passing through the point of intersection of two lines.Distance of a point from a line. 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. Introduction to Three-dimensional Geometry · Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula. |
Unit-IV: Calculus | 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 scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions. |
Unit-V: Mathematical Reasoning | Mathematical Reasoning · 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" and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, difference among contradiction, converse and contra positive. |
Unit-VI: Statistics and Probability | Statistics · Measures of Dispersion: Range, Mean deviation, variance and standard deviation of un grouped/grouped data. Analysis of frequency distributions with equal means but different variances. Probability · Random experiments; outcomes, sample spaces (set representation). 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. |
Class 12 Math Units
No. | Units | No. of Periods | Marks |
1 | Relations and Functions | 17 | 08 |
2 | Algebra | 35 | 10 |
3 | Calculus | 57 | 35 |
4 | Vectors and Three - Dimensional Geometry | 26 | 14 |
5 | Linear Programming | 13 | 05 |
6 | Probability | 20 | 08 |
Total | 168 | 80 | |
Internal Assessment | 20 |
Benefits of NCERT Solutions For Class 12 Math
If you want to score high in your class 12 Maths Exam then you can use NCERT Class 12 Books and Solutions as your Main study Material. To download Solutions PDF of any Chapter Simply click on the of the Particular chapter.
So, that’s all from this article. I hope you enjoyed this post. If you found this article helpful then please share it with other students.
Also Read,
Download NCERT Class 12 Maths Chapterwise Book
Download NCERT Class 11 Maths Chapterwise Book
Download NCERT Class 12 Maths Chapterwise Exemplar
Download NCERT Class 11 Maths Chapterwise Exemplar
If you have any Confusion related to NCERT Solutions for Class 12 Maths PDF then feel free to ask in the comments section down below. To watch Free Learning Videos on Class 12 by Kota’s top Faculties Install the eSaral App
Frequently Asked Questions
Q1.Why are NCERT Solutions for Class 12 Maths Important?
A1.Getting a good score in class 12th is crucial as this can be the deciding factor for a child’s career. Hence, it is important to consult the NCERT solutions class 12 maths as they give the most reliable, and to-the-point explanation of a question ensuring that kids do not have any doubts regarding a topic.
Q2.What are the Important Topics Covered in NCERT Solutions Class 12 Maths?
A2.All topics such as probability, linear programming, application of derivatives, etc. given in the NCERT solutions class 12 maths are equally important for board examinations. The syllabus of these exams is based on the NCERT curriculum. Thus, it is vital for students to study each and every topic with immense care so as to successfully solve all problems given in the test papers.
Q3.Are NCERT Solutions Class 12 Maths Sufficient for CBSE Boards Exams?
A3.NCERT solutions class 12 maths are sufficient for board exams as the paper pattern follows the structure set by these textbooks. However, it is best to consult more subject material based on the same topics to have a broader scope of learning. It is always better to be over-prepared as opposed to being under-prepared.