The students who are planning to take up engineering as your career needs to put special emphasis on Maths along with other science subjects. If you are
scoring well in Maths you can rest assured to get maximum weightage. At the same time if you are ready for a career in maths then you need to score maximum marks in the subject. Our article is designed specifically to make your task easy. There are 13 chapters in
NCERT solutions for
class 12 MATHS and we will let you know about the key areas that you need to emphasize upon.
1. Relation & Function-
The first chapter deals with relation and function. You need to get a grab about the types of relationships and types of function. Compositions of function along with invertible functions are also to be studied. Finally, you will come across binary operations along with miscellaneous examples. Get hold of all these chapters and find out the solutions that are curated for you.
2. Inverse Trigonometric Functions-
In this chapter, you will get an account of varied topics such as remarks based on basic concepts of inverse trigonometric functionality along with characteristics of inverse trigonometric functions and miscellaneous examples. All the aforementioned concepts are well explained through examples in our solutions.
3. Matrices-
In this part, we shall see the definition of a matrix and types of matrices along with equality of matrices, operation on matrices such as addition and multiplication. You can learn the characteristics of matrix addition along with characteristics of scalar multiplication and multiplication of matrices, systematic & skew matrices. You can avail all the details of our solution. We are sure you will have no further difficulties.
4. Determinants-
The students will get to learn about all the major definitions along with the meanings of the determinant. The remarks are based on the order of determinants and characteristics of determinants. You will also find the area of triangles by making use of determinants. Not to forget about the inverse of a matrix, applications of determinants as they constitute the key areas in the chapter. Read the solution and try to execute the task with ease.
5. Continuity & Differentiability-
In this part, one will have to learn the definition of continuity. The students will learn about the algebra of continuous function along with definition and meaning. There are a lot of areas that are to study like that of derivatives along with composite functions, a derivative of an implicit function, exponential and logarithmic. All the solutions have been designed by us and we have ensured that every student gains effectiveness.
6. Application of Derivatives
Here you will find the definition of derivatives along with the rate of change of quantities. You can also learn about the increasing and decreasing functions along with approximations, maxima and minima. Here students can find solutions to the exercise properly explaining these concepts.
7. Integrals-
In this particular chapter, we will find the definition of the infinite integral. Students will also find integration as an inverse process of major differentiation. You will get to learn geometrical interpretation and indefinite integral, properties of indefinite integral and comparison between differentiation and integration. Our solutions can ideally help you to solve all major areas so that you do not have to face difficulty in your examination.
8. Applications of Integrals-
Firstly you need to start with the definition and then get to learn about the simple curves and area of the region bounded by the curve and a single line. You need to study the details about a couple of curves and miscellaneous examples. Students can have access to the solution designed by us and get detail about how to solve the problems with ease. We ensure that all students get a transparent understanding of the chapters and ways to solve the problem with ease.
9. Differential Equations-
Here too you will need to know the definition first and then you can go ahead to solve all the concepts. You will get to solve differential equations, general and particular solutions of the varied equation. There are more in this area and we have elaborated all the detailed solutions transparently.
10. Vector Algebra-
You need to study the detailed concept of how to find the position of vector and some basic concepts relating to vector algebra, directional cosines and types of a vector such as zero vectors, unit vector along with collinear vectors. You also need to study the addition of vectors along with properties of vectors, multiplication. You also need to execute components of a vector, properties of scalar products and few others which are all given in our solution.
11. The Dimensional Geometry-
This part is related to three-dimensional geometry, the direction along with cosines and direction and directional ratio. This is one of the scoring areas and you are bound to get questions from the shortest distance between a couple of lines, the distance between skew lines, and the equation of a plane perpendicular for a given vector.
12. Linear Programming-
The concepts that are covered in this chapter are linear programming and mathematical formulation and different types of linear programming. Like the previous section, this section is very easy to grab and you can easily score from these sections. You can go through the suggestion formulated by us and we are sure you can score well in the examination.
13. Probability-
The solutions that we have designed deals with Random variables along with a variance of random variables, Bernoulli's trail and so on. We are sure that the
maths ncert solutions class 12 are sure to help you out and make you avail good marks in your final examination.