Updated On : April 3, 2023
Class 12 is a significant milestone in the life of a student. It is the result that the students attain in the 12th boards that play a major role in determining his/her future. Students who are interested in establishing a career in science fields must pay special attention to all the subjects in the science stream. The marks attained in these subjects will determine the kind of opportunities you receive in the future.
Mathematics for class 12 is definitely not easy. Expecting it to be easy is unwise. However, with the aid of the NCERT books, the students can understand the topics a little better. NCERT books combined with focus and determination can help you to achieve a grand score. The NCERT 12th Maths books are specifically curated by experts and professionals. They are highly involved in the educational system and are constantly trying to make changes that can help the students understand the topics a little better.
The NCERT 12th Maths Book PDF follows the CBSE syllabus. The most advantageous aspect of this book is that it stresses on building a strong foundation for the students. As such, the language used is simple. The examples and exercises given in the books are carefully selected so that the students are given the opportunity to practice easy, moderate, and hard math problems.
NCERT 12th Maths Book PDF consists of two parts. The first part has six chapters and the second part has seven chapters. There are an all total of 13 chapters. Understanding these thirteen chapters in details will not only help you to ace the CBSE board for the 12th but will aid you in clearing any other significant examinations. Check out the information given to know more about the NCERT maths book for class 12 in Hindi and English medium.
The information given below elaborates the NCERT mathematics book for Class 12 in English medium school. The table provides detailed information about the name of the chapters, marks assigned to the chapters, and PDF files. Check out the table to know more about the NCERT 12th Maths Book PDF for the English Medium.
SL No. | Chapters | Marks allocated | |
NCERT Class 12 Maths Part 1 | |||
1 | Relations and Functions | 08 | |
2 | Inverse Trigonometric Functions | ||
3 | Matrices | 10 | |
4 | Determinants | ||
5 | Continuity and Differentiability | 20 | |
6 | Application of Derivatives | ||
NCERT Class 12 Maths Part 2 | |||
7 | Integrals | 35 | |
8 | Application of Integrals | ||
9 | Differential Equations | ||
10 | Vector Algebra | 14 | |
11 | Three Dimensional Geometry | ||
12 | Linear Programming | 05 | |
13 | Probability | 08 |
Given below are some questions from each of the chapters of the NCERT 12th Maths Book PDF in the English medium.
Chapter 1
(a) an injective mapping from a to B.
(b) a mapping from a to b which is not injective.
(c) a mapping from b to A.
(1) f(x) = x/2
(2) g(x) = |x|
(3) h(x) = x |x|
(4) k(x) = x2
Chapter 2
(A) π (B) – π/3 (C) π/3 (D) 2π/3
Chapter 3
Questions could not be included due to the symbols not being copied correctly.
Chapter 4
Chapter 5
Chapter 6
(a)x =0 (b) y=0 (c)x+y =0 (d)x-y=0
Chapter 7
Chapter 8
Chapter 9
(A) 0 (B) 2 (C) 3 (D) 4
(A) -x
(B) x/ (1 + x2)
(C) √(1- x2)
(D) ½ log (1 – x2)
Chapter 10
Chapter 11
(x + 3)/3 = (y -1)/5 = (z + 3)/4
(x + 1)/1 = (y – 4)/1 = (z – 5)/2
Chapter 12
Minimise Z = 200 x + 500 y subject to the constraints:
x + 2y ≥ 10
3x + 4y ≤ 24
x ≥ 0, y ≥ 0
Maximise Z = 2x + 3y, subject to x + y ≤ 4, x ≥ 0, y ≥ 0
Chapter 13
Comprehensive information about NCERT 12th Maths Book PDF for the Hindi medium is given here. The table below provides detailed information regarding the chapters, marks allocation, and the PDF files of the NCERT maths book for class 12 in Hindi.
SL No. | Chapters | Marks allocated | |
NCERT Class 12 Maths Part 1 | |||
1 | संबंध् एवं फलन | 08 | |
2 | प्रतिलोम त्रिकोणमितीय फलन | ||
3 | आव्यूह | 10 | |
4 | सारणिक | ||
5 | सांतत्य तथा अवकलनीयता | 20 | |
6 | अवकलज वेफ अनुप्रयोग | ||
NCERT Class 12 Maths Part 2 | |||
7 | समाकलन | 35 | |
8 | समाकलनों वेफ अनुप्रयोग | ||
9 | अवकल समीकरण | ||
10 | सदिश बीजगणित | 14 | |
11 | त्रि-विमीय ज्यामिति | ||
12 | रैखिक प्रोग्रामन | 05 | |
13 | प्रायिकता | 08 |
The questions could not be copied from the PDF files as the Hindi alphabets translated into different symbols.
The simple way with which the NCERT 12th Maths Book PDF explains the various topics makes it vital for the students appearing for the 12th boards. Even though the NCERT books follow the CBSE syllabus, it is also beneficial for the ISC board students. They can use this book to solidify their foundation and ensure their success in any type of examination in the future. Take a look at the reasons why NCERT 12th Maths Book PDF is so important and popular.
Check out the list of NCERT books that you can refer for mathematics in class 12.
For the Hindi medium, NCERT also has books for mathematics of class 12 that you can refer to while preparing for the upcoming boards.
Apart from the NCERT 12th Maths Book PDF, the students can also refer to other books for solving mathematical problems in class 12. The more variety you encounter while solving the problems, the more prepared will you be for the upcoming examinations. Some reference books for mathematics of class 12 for all boards are listed below.
April 3, 2023
Class 12 is a significant milestone in the life of a student. It is the result that the students attain in the 12th boards that play a major role in determining his/her future. Students who are interested in establishing a career in science fields must pay special attention to all the subjects in the science stream. The marks attained in these subjects will determine the kind of opportunities you receive in the future.
Mathematics for class 12 is definitely not easy. Expecting it to be easy is unwise. However, with the aid of the NCERT books, the students can understand the topics a little better. NCERT books combined with focus and determination can help you to achieve a grand score. The NCERT 12th Maths books are specifically curated by experts and professionals. They are highly involved in the educational system and are constantly trying to make changes that can help the students understand the topics a little better.
The NCERT 12th Maths Book PDF follows the CBSE syllabus. The most advantageous aspect of this book is that it stresses on building a strong foundation for the students. As such, the language used is simple. The examples and exercises given in the books are carefully selected so that the students are given the opportunity to practice easy, moderate, and hard math problems.
NCERT 12th Maths Book PDF consists of two parts. The first part has six chapters and the second part has seven chapters. There are an all total of 13 chapters. Understanding these thirteen chapters in details will not only help you to ace the CBSE board for the 12th but will aid you in clearing any other significant examinations. Check out the information given to know more about the NCERT maths book for class 12 in Hindi and English medium.
The information given below elaborates the NCERT mathematics book for Class 12 in English medium school. The table provides detailed information about the name of the chapters, marks assigned to the chapters, and PDF files. Check out the table to know more about the NCERT 12th Maths Book PDF for the English Medium.
SL No. | Chapters | Marks allocated | |
NCERT Class 12 Maths Part 1 | |||
1 | Relations and Functions | 08 | |
2 | Inverse Trigonometric Functions | ||
3 | Matrices | 10 | |
4 | Determinants | ||
5 | Continuity and Differentiability | 20 | |
6 | Application of Derivatives | ||
NCERT Class 12 Maths Part 2 | |||
7 | Integrals | 35 | |
8 | Application of Integrals | ||
9 | Differential Equations | ||
10 | Vector Algebra | 14 | |
11 | Three Dimensional Geometry | ||
12 | Linear Programming | 05 | |
13 | Probability | 08 |
Given below are some questions from each of the chapters of the NCERT 12th Maths Book PDF in the English medium.
Chapter 1
(a) an injective mapping from a to B.
(b) a mapping from a to b which is not injective.
(c) a mapping from b to A.
(1) f(x) = x/2
(2) g(x) = |x|
(3) h(x) = x |x|
(4) k(x) = x2
Chapter 2
(A) π (B) – π/3 (C) π/3 (D) 2π/3
Chapter 3
Questions could not be included due to the symbols not being copied correctly.
Chapter 4
Chapter 5
Chapter 6
(a)x =0 (b) y=0 (c)x+y =0 (d)x-y=0
Chapter 7
Chapter 8
Chapter 9
(A) 0 (B) 2 (C) 3 (D) 4
(A) -x
(B) x/ (1 + x2)
(C) √(1- x2)
(D) ½ log (1 – x2)
Chapter 10
Chapter 11
(x + 3)/3 = (y -1)/5 = (z + 3)/4
(x + 1)/1 = (y – 4)/1 = (z – 5)/2
Chapter 12
Minimise Z = 200 x + 500 y subject to the constraints:
x + 2y ≥ 10
3x + 4y ≤ 24
x ≥ 0, y ≥ 0
Maximise Z = 2x + 3y, subject to x + y ≤ 4, x ≥ 0, y ≥ 0
Chapter 13
Comprehensive information about NCERT 12th Maths Book PDF for the Hindi medium is given here. The table below provides detailed information regarding the chapters, marks allocation, and the PDF files of the NCERT maths book for class 12 in Hindi.
SL No. | Chapters | Marks allocated | |
NCERT Class 12 Maths Part 1 | |||
1 | संबंध् एवं फलन | 08 | |
2 | प्रतिलोम त्रिकोणमितीय फलन | ||
3 | आव्यूह | 10 | |
4 | सारणिक | ||
5 | सांतत्य तथा अवकलनीयता | 20 | |
6 | अवकलज वेफ अनुप्रयोग | ||
NCERT Class 12 Maths Part 2 | |||
7 | समाकलन | 35 | |
8 | समाकलनों वेफ अनुप्रयोग | ||
9 | अवकल समीकरण | ||
10 | सदिश बीजगणित | 14 | |
11 | त्रि-विमीय ज्यामिति | ||
12 | रैखिक प्रोग्रामन | 05 | |
13 | प्रायिकता | 08 |
The questions could not be copied from the PDF files as the Hindi alphabets translated into different symbols.
The simple way with which the NCERT 12th Maths Book PDF explains the various topics makes it vital for the students appearing for the 12th boards. Even though the NCERT books follow the CBSE syllabus, it is also beneficial for the ISC board students. They can use this book to solidify their foundation and ensure their success in any type of examination in the future. Take a look at the reasons why NCERT 12th Maths Book PDF is so important and popular.
Check out the list of NCERT books that you can refer for mathematics in class 12.
For the Hindi medium, NCERT also has books for mathematics of class 12 that you can refer to while preparing for the upcoming boards.
Apart from the NCERT 12th Maths Book PDF, the students can also refer to other books for solving mathematical problems in class 12. The more variety you encounter while solving the problems, the more prepared will you be for the upcoming examinations. Some reference books for mathematics of class 12 for all boards are listed below.