NCERT Class 12 Maths Solutions: 12th Class sets the base for higher education for every student. This makes it the most crucial class for any student who is aiming for his/her dream of quality high education. A good score in this class is equivalent to quality high education. Coming to subjects in Class 12, Maths subject for Class 12 students is often difficult but an important subject. The problems require elaborate solutions and this is what leads to confusion among students. How to solve the problems, which theorem or equation to use is what students mostly get confused about. To help students come out of the confusion mode and get good marks in their 12th Board Exam, we have provided here the NCERT Solutions for Class 12 Maths. Solutions are provided in a detailed manner and contain chapter-wise solutions of Class 12.
Aakash NCERT Solutions are created in such a way that going through the solutions will help students in understanding how to solve the problems. Our NCERT Solutions are presented in such a way that students first learn to check the marks allocated to a question and then solve it accordingly. Aakash NCERT Solutions for Class 12 Maths will help in improving students’ problem solving skills. These Class 12 Solutions of NCERT have detailed step-by-step explanations of problems given in the textbooks.
In NCERT Solutions for Maths for Class 12, we have covered all bits and pieces of all chapters to make sure nothing is left to practice for the students. Since Maths is all about solutions, each question solved has a step-by-step process mentioned to reach the answer. This gives students an idea of the formulas and equations to be used for certain kinds of questions. Through Aakash NCERT Solutions, students will get an idea about how to solve the problems. Basic concepts is what we try and inculcate into a student’s Maths Practice Session. For Class X students, Aakash NCERT Solutions for Maths PDF is a perfect guide to help you to score excellent marks in the CBSE board examination.
Aakash NCERT Solutions for Class 12 Maths Chapter 1 of NCERT textbook deals with relations and functions, types of relation, types of functions, the composition of functions and invertible function, binary operations and miscellaneous examples.
Class 12 Maths Chapter 1- Relations and Functions Video
Aakash NCERT Solutions for Class 12 Maths Chapter 2 deals with Trigonometry as a whole. Further, it deals with relations and functions, types of relation, types of functions, the composition of functions and invertible function, binary operations, and miscellaneous examples. Here, you can find the exercise solution links for the topics covered in this chapter.
Class 12 Maths Chapter 2- Inverse Trigonometric Functions Video
Aakash NCERT Solutions for Class 12 Maths Chapter 3 includes the definition of a matrix, types of matrices, equality of matrices, operations on matrices such as the addition of matrices and multiplication of a matrix by a scalar, properties of matrix addition, properties of scalar multiplication, multiplication of matrices, properties of multiplication of matrices, transpose of a matrix, properties of the transpose of the matrix, symmetric and skew-symmetric matrices, elementary operation or transformation of a matrix, the inverse of a matrix by elementary operations and miscellaneous examples.
Class 12 Maths Chapter 3- Matrices Video
Aakash NCERT Solutions for Class 12 Maths Chapter 4 talks about determinants in detail. It includes topics such as Determinant of a square matrix, properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle, Adjoint and inverse of a square matrix.
Class 12 Maths Chapter 4- Determinants Video
Aakash NCERT Solutions for Class 12 Maths Chapter 5 introduces students to the definition of continuity and differentiability. The topics it includes are Continuity and differentiability, the derivative of composite functions, chain rule, the derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.
Class 12 Maths Chapter 5- Continuity and Differentiability Video
Aakash NCERT Solutions for Class 12 Maths Chapter 6 talks about Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normal, use of derivatives in approximation.
Class 12 Maths Chapter 6- Applications of Derivatives Video
Aakash NCERT Solutions for Class 12 Maths Chapter 7 talks about Integration as an 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.
Class 12 Maths Chapter 7- Integrals Video
Aakash NCERT Solutions for Class 12 Maths Chapter 8 discusses about Application of Integrals. It includes topics related to Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only), and Area between any of the two above said curves (the region should be clearly identifiable).
Class 12 Maths Chapter 8- Applications of Integrals Video
Aakash NCERT Solutions for Class 12 Maths Chapter 9 talks about Differential Equations in detail. The topics it includes are general and particular solutions of a differential equation, formation of differential equations whose general solution is given. The solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree.
Class 12 Maths Chapter 9- Differential Equations Video
Aakash NCERT Solutions for Class 12 Maths Chapter 10 introduces students to the vector algebra. The topics it includes are Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors, position vector of a point, negative of a vector, components of a vector, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio.
Class 12 Maths Chapter 10- Vector Algebra Video
Aakash NCERT Solutions for Class 12 Maths Chapter 11 talks about topics related to three-dimensional geometry. The topics it includes are Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane. The angle between (i) two lines, (ii) two planes, (iii) a line and a plane. The distance of a point from a plane.
Class 12 Maths Chapter 11- Three Dimensional Geometry Video
Aakash NCERT Solutions for Class 12 Maths Chapter 12 talks about linear programming. The topics it includes are Related terminology such as constraints, optimization of Linear Programming, types of linear programming (L.P.) problems, the mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions.
Class 12 Maths Chapter 12- Linear Programming Video
Aakash NCERT Solutions for Class 12 Maths Chapter 13 deals with probability. The topics it includes are Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution, and mean and variance of a random variable. Binomial probability distribution.
Class 12 Maths Chapter 13- Probability Video
We at Aakash, have taken extreme care to furnish keynotes after each part with the nitty-gritty outline, significant equations, and all the important points clarified in the reading material for Class 12th which is an extremely important class in one’s academic career. The students looking for the appropriate responses to inquiries present in the books of NCERT would now be able to put their hunt to stop. These arrangements of NCERT Maths solutions are set up after over the top exploration, making it outstanding amongst other online NCERT Solutions. It gives a bit-by-bit clarification to each address given in the course books. The Aakash NCERT Solutions can likewise end up being of significant guide to students for their home tasks and state and National Level competitive exams also.
Q. Why should students opt for Aakash NCERT Solutions for CBSE Class 12 Maths?
A. NCERT Class 12 Maths Solutions by Aakash is the perfect aid for students aiming to score well in their board exams as it is created by qualified subject teachers of Aakash as per the latest class 12 CBSE Maths Syllabus. Students will find it really helpful to ace their Board Class.
Q. Which are the best NCERT Solutions for Class 12th Maths?
A. Students can find many NCERT Solutions for their Class 12 Board Exams Online. Aakash has also provided NCERT Solutions for Class 12 for the ease of students. They can be accessed online at our website or else directly click on the quick links provided.
Q. What is the price for Class 12 Maths Aakash NCERT Solutions?
A. Aakash has provided free-of-cost NCERT Solutions for Class 12 for all subjects. Curated by subject matter experts, Aakash NCERT Solutions can be accessed by Students without any fee.
Q. How many chapters are there in Class 12 Maths NCERT Book?
A. NCERT Maths textbook for Class 12, consists of a total of 13 chapters as per the latest syllabus prescribed by CBSE.
Q. What are NCERT and CBSE?
A. There is a major difference between the two because they fall into different categories altogether. CBSE or Central Board of Secondary Education is a board which is the governing body while NCERT or National Council of Educational Research and Training is the council. NCERT basically is responsible for drafting content and syllabus that is required for CBSE board exams. In short, CBSE is a board whereas NCERT is a council.
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