NCERT Syllabus for Class 12 Maths
Saumya.Srivastava, 28 Jun 2019, #

NCERT Syllabus for Class 12 Maths: 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 and then prepare for the CBSE 12th Exams very smartly and calmly to gain knowledge. Maths is a subject which 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 plays a key role in the better preparation of the exam.

Read the article to get the detailed information about Maths NCERT Syllabus for class 12 along with the chapter wise-solution, course structure, and marking scheme.

Also, read NCERT Syllabus for Class 12 Chemistry

NCERT Syllabus for Class 12 Maths: Highlights

  • NCERT CBSE Syllabus for Class 12 Maths aims to provide very relevant and useful information to students as it written by the experts.

  • Studying from these books helps in preparing for the competitive exams such as NEET, JEE Mains and some scholarship exams like KVPY, etc.

  • The sole purpose of NCERT is to prescribe a syllabus which can be of tremendous use in the future endeavours of students.

  • NCERT Maths Syllabus for class 12 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 which are very useful for the candidates as many questions come from these in CBSE Class 12th board exams.

Also, read NCERT Syllabus for Class 12 Biology

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NCERT Syllabus for Class 12 Maths

Below mentioned is the CBSE Syllabus for class 12 maths along with the chapter-wise solutions, important topics and marking scheme.

NCERT Chapter-wise Solution
Important Topics
One to one and onto functions, composite functions, inverse of a function, Types of relations:transitive and equivalence relations, reflexive, symmetric
Graphs of inverse trigonometric functionsElementary properties of inverse trigonometric functions, Definition,domain, principal value branch, range
Operation on matrices: Addition and multiplication and multiplication with a scalar, Concept, notation, order, equality, zero and identity matrix, transpose of a matrix, types of matrices, symmetric and skew, symmetric matrices, etc.
Determinant of a square matrix (up to 3 x 3 matrices), Co-factors and applications of determinants in finding the area of a triangle, properties of determinants, minors, Adjoint and inverse of a square matrix, etc.
Derivative of composite functions, chain rule, Continuity an differentiability, Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions, Second order derivatives. Rolle’s and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation, etc.
Simple problems (that illustrate basic principles and understanding of the subject, real-life situations), Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima, etc.
Integration as inverse process of differentiation, Integration of a variety of functions by substitution, by partial fractions and by parts, etc.
Applications in finding the area under simple curves, lines, circles/ parabolas/ellipses, Area between any of the two above said curves, etc.
Definition, order and degree, general and particular solutions of a differential equation, formation of differential equation, Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree, etc.
Vectors and scalars, magnitude and direction of a vector, Direction cosines and direction ratios of a vector. Types of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio, position vector of a point, negative of a vector, components of a vector, addition of vectors, etc.
Cartesian equation and vector equation of a line, Direction cosines and direction ratios of a line joining two points, coplanar and skew lines, shortest distance between two lines.Cartesian and vector equation of a plane, etc.
Introduction, related terminology such as constraints, optimization, different types of linear programming (L.P.) problems, objective function, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, etc.
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, mean and variance of random variable, Random variable and its probability distribution, etc.

To download the entire NCERT Maths syllabus for class 12

Best Preparation Tips for Class 12 Maths

  • 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. This will help the students to make a dedicated study time-table 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 Question papers because as per the previous year, many questions are asked in the boards from these.

Also, read, NCERT Syllabus for Class 12 Physics

Best Reference Books for Class 12 Maths:

NCERT Syllabus for Class 12 Maths 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.S Aggarwal

  • ML Khanna

  • R.D Sharma (Part 1 and 2)

  • U-Like papers

  • NCERT Solutions by Arihant

Also, read NCERT Syllabus for Class 12 English

More like

Questions related to CBSE Class 12th

Showing 8 out of 8 Questions

Ive failed CBSE class 12th twice (2018 and 2019), Im going to write class 12th boards in the year of 2020. Will I be eligible for JEE advanced 2020 and 2021 (after I clear Mains obviously)? Also is it necessary to give the first of two Advanced exams in the year of you are passing class 12th?

Aditi Amrendra Student Expert 30th Sep, 2019

As per JEE mains criteria, Candidates who have passed class 12 or any other equivalent exam in 2018 or 2019 or those who will be appearing in class 12 or any other equivalent examination in 2020 will be eligible to appear in JEE Main 2020. Those who have passed class 12 or equivalent examination in 2017 or before and those who will appear in 2021 or later will not be eligible to appear in JEE Main 2020. Aspirants who have appeared for their class 12 in 2017, failed in 2017 but have appeared again in 2018 and passed are not eligible for JEE Main 2020.

I hope this helps.

can i apply for cbs e 12th board as private candidate . as i have passed my 12th board in 2018.

Afreen Anjum Student Expert 25th Sep, 2019


As your query is about private candidate in CBSE .. as there are many condition or eligibility for private candidates in CBSE you have not mention here if you are passed in 2018 and why want to apply for private candidate ....

so to know about the private candidate eligibility and guidelines and about the condition where can a candidate apply for private candidates go through this link where you can clear your doubts:

All the best!!


is the cbse improvement exam giving students answer sheets will be checked like regular student answer sheets (according to marking scheme ) or some hard checking is there?

Aditya kumar Student Expert 23rd Sep, 2019
Hello there!


There's no hard checking or something for cbse improvement exam student, the answer sheet checking is pretty normal like regular students answer sheet as students who appear in the improvement exam has to face the same question paper as that of regular student's question paper and teachers has to follow the same marking scheme as prescribed by the cbde whether it'sthe answer sheet of regular or improvement student.


Will i have to give practicals with theroy this year(2020) of class 12 final cbse board examination. The new pdf uploaded on cbse official website says that all candidates no matter whether they had passed or not have to give practicals Refer new private candidate pdf page 8 annexure 3 Point 4th

Ashish pal Student Expert 18th Sep, 2019

Hello Ankit.

Yes you have to give practical in your board exams of 2020 along with theory exam also.

If you are a regular scholar then no need to worry your college will arrange the things at your own college.

If you are a private student then CBSE will make a centre in your city for your practicals. You will get the information in notifications.

Ok good luck


At which place internal assessment for maths and English would be conducted for CBSE class 12th private candidates?

Ashish pal Student Expert 16th Sep, 2019

Hello dear aspirant

It is not exactly your headache actually your college will be looking into the Matter. Most probably these will be at your own college for regular students. And in case you are a private student then CBSE will make a centre for the same in your city itself.

Ok good luck

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