This mock test series has a comprehensive selection of relevant questions and their solutions. Candidates in CBSE Board can take these free mock tests to practise and find areas where they need to improve for their board exams.
Just click on these links and download the books in PDF format. How to score high marks in Maths examinations? In order to score higher marks in the Maths examination, the students need to prepare effectively, practice as much as possible, solve sample question papers and mock test series.
Following this, the students will surely be able to secure good marks in their Maths examination. How can I learn Maths in Class 9? Students of grade 9 can make use of Embibe to learn Maths. With these, you can easily ace the Maths exam with a high score. Is class 9 Maths tough to prepare? No, it is not difficult if you prepare your syllabus with dedication and on time.
Also, a daily revision is the key to preparing effectively and scoring well in the examination. You can also attempt free Class 9 Maths Mock Tests. These will surely help you in your preparation for Class 9 exams. After that, there is a similar explanation of differentiability. This explanation of differentiability has multiple sub-topics with illustrations. After that, other topics under this chapter are exponential and logarithmic functions, derivatives of functions in Parametric Forms, Mean value theorem, and different examples.
There is a summary section to provide you with a concise outlook of the entire chapter. This chapter of class 12th maths book explains in great detail the various applications of derivatives. It starts with a traditional introduction, which offers an insight into the components of the chapter. After that, it proceeds further to explain the following topics —. Rate of change of quantities. Increasing and decreasing functions. Tangents and normal. Maxima and Minima. Each topic in this chapter has numerous examples and explanations of the associated theorems followed by an exercise.
Moreover, such well-structured chapters will help you to grasp the concept quickly and without much hassle. Integral is one of the most critical chapters of class 12 mathematics. It deals with the problem of defining and measuring the area of a specific region, which is restricted by the graphs of functions. These topics include integration, its methods, functions of specific integrals, definite integrals and its evaluation by substitutions, etc. Similar to the previous chapters; this one also has various examples and exercises for a better understanding of integrals.
This chapter shed light on its applications and the mathematics side of it. Furthermore, in this chapter, you will learn about the following topics —. The area under simple curves, it has a sub-topic of finding the region bounded by a line and a curve. The area between two curves. Additionally, there are several examples and calculations to help you understand the chapter better. There is also a dedicated exercise after each topic, which you can solve to gain a better grasp of the subject.
Moreover, there is miscellaneous examples followed by a summary and historical note section. Differential equations have applications beyond the scope of mathematics. It is also applicable in Physics, Chemistry, Biology, Economics, etc. Therefore, it is an essential chapter for students of class This chapter begins with the basic concept differential equation and then moves further into general and particular solutions of this equation.
After that, it explains how to form these equations where the general solutions are given. Furthermore, you learn methods of solving first order, first-degree differential equation. There are various miscellaneous examples after these topics, which will help you to clear your doubts. Vectors typically denote quantities like displacement, force, velocity, weight, momentum, etc. Here, you will study the definition, basic concepts, operations and other topics associated with the vectors.
Furthermore, here is a list of topics that you will learn in this chapter —. Basic concepts of vector. Types of vectors. Addition of vectors. Multiplication of vectors by a scalar. Product of two vectors. Additionally, there are diagrams, examples and exercises with solutions to help you comprehend this topic better. Besides, every practice set has detailed solutions with diagrams for a better explanation.
Following the chapter of vector algebra, you will now learn how to use it into three-dimensional geometry. In this chapter, you will learn the basic concepts of 3D geometry, which includes the following —.
Direction cosines and Direction Ratios of a line. Equation of a line in space. The angle between two lines. The shortest distance between two lines. Plane surface. Co-planarity of two lines. The angle between two planes. The distance of a point from a plane. The angle between a line and a plane. Additionally, these topics are followed by different examples and summary section to conclude the chapter. Optimisation problems are a crucial section of mathematics, and one of its popular sub-types is linear programming.
You have already studied the concept of linear programming and its everyday applications. Moreover, in class 11, you have previously studied the same with the help of graphical representations.
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