NCERT Syllabus for Class 12 Maths 2022 - Download PDF
NCERT Syllabus for Class 12 Maths 2022-23: Board exams are of great importance in the student’s life. Scoring good marks in these exams leaves a huge impact on their career. Therefore, aspirants should work very smartly and sincerely towards achieving this milestone. Merely scoring high by mugging up the course should not be the priority. Rather students should refer to the NCERT Syllabus for Class 12 Maths 2022-23 and then, prepare for the CBSE 12th Exams very smartly and calmly to gain knowledge.
Maths is a subject that is always a centre of hype but actually, it’s not that tricky. It focuses on evaluating one on the basic understanding of the subject. Thus, students should prepare for the same for widening up their knowledge and work towards the basic fundamental concepts. Therefore, NCERT Syllabus for Class 12 Maths 2022-23 plays a key role in the better preparation of the exam. Read the article to get detailed information about Maths NCERT Syllabus for class 12 along with the chapter wise-solution, course structure, and marking scheme.
NCERT Syllabus for Class 12 Maths 2022-23: Highlights
NCERT CBSE Syllabus for Class 12 Maths 2022-23 aims to provide very relevant and useful information to students as it is written by the experts.
Studying from these books helps in preparing for competitive exams such and some scholarship exams like KVPY, etc.
The sole purpose of NCERT is to prescribe the NCERT syllabus that can be of tremendous use in the future endeavours of students.
NCERT Maths Syllabus for class 12 2022-23 does not dwell upon very deep information. In fact, it gives very brief and informative knowledge using simple language. This helps in better understanding.
NCERT Solutions for Class 12 Maths add in clarifying all the related queries and doubts of the aspirants.
- NCERT Book for class 12 Maths provides exemplars that are very useful for the candidates as many questions come from these in CBSE Class 12th board exams.
Also read - NCERT Exemplar Class 12th Maths Solutions
Below mentioned is the CBSE Syllabus for class 12 maths 2022 along with the chapter-wise solutions, important topics and marking scheme.
NCERT Chapter-wise Solution
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Oncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries)
Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin−1 𝑥 , cos−1 𝑥 and tan−1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives
Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations)
Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. ∫ dx x 2 ± a 2, ∫ dx √x 2 ± a 2 , ∫ dx √a 2 − x 2 , ∫ dx ax2 + bx + c , ∫ dx √ax2+bx+c ∫ px + q ax2 + bx + c dx, ∫ px + q √ax2+bx + c dx, ∫ √a 2 ± x 2 dx, ∫ √x 2 − a 2 dx ∫√𝑎𝑥2 + 𝑏𝑥 + 𝑐 𝑑𝑥, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals
Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)
Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: dy dx + py = q, where p and q are functions of x or constants. d𝑥 d𝑦 + px = q, where p and q are functions of y or constants.
Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.
Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.
Click here to download the entire NCERT Maths syllabus for class 12
Prepare for the units such as Calculus, Vector and 3 - Dimensional Geometry and Algebra very thoroughly as these units carry high weightage in the board exam.
Strictly refer to the NCERT Syllabus for Class 12 Maths 2022-23. This will help the students to make a dedicated study timetable which is very useful.
Make a separate notebook for the theorems and formulae. This will be handy and will help students to revise them anytime.
Answer in steps so that some marks may be given even if the student attempt it partially. This will help in scoring better.
Clear the fundamental concepts and try to understand the logic behind every problem. This will enhance your interest in the subject.
After completion of the entire syllabus, solve the CBSE Class 12 Sample Papers. This will let the students know about the exam pattern well.
Also solve, CBSE Class 12th Previous Year's Question papers because as per the previous year, many questions are asked in the boards from these.
- NCERT Syllabus for Class 12 Biology
- NCERT Syllabus for Class 12 Physics
- NCERT Syllabus for Class 12 English
- NCERT syllabus for class 12 Biology
Best Reference Books for Class 12 Maths 2022-23:
NCERT Syllabus for Class 12 Maths 2022-23 covers the whole course of CBSE, but students should refer to some of the top reference books for further practice of problems. This helps in practising a variety of questions and getting better at attempting the question paper. Some of the best reference books for class 12 Maths are mentioned below:
R.D Sharma (Part 1 and 2)
NCERT Solutions by Arihant
- NCERT Book for class 12 Physics
- NCERT Book for Class 12 Maths
- NCERT Books for class 12 Chemistry
- NCERT Books for class 12 Biology
- NCERT Book for class 12 Hindi
Frequently Asked Question (FAQs) - NCERT Syllabus for Class 12 Maths 2022 - Download PDF
Question: How to download NCERT 12th Maths syllabus?
Students can download the NCERT Class 12 Maths syllabus directly through the link given in this page.
Question: How many chapters are there in NCERT Class 12 maths syllabus?
There are a total of 13 chapters in the Class 12 maths syllabus.
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