NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.2 Vector Algebra - PDF Download
NCERT solutions for class 12 maths chapter 10 exercise 10.2 Vector Algebra covers some significant topics in this exercise such as addition of vectors, multiplication of a vector by a scalar, components of a vector, vector joining two points and section formula. These topics are explained in detail with utmost care and according to guidelines of CBSE by subject matter experts of eSaral to prepare for exams. Additionally, you will be able to solve the questions by going through these concepts. Th...
Read More →NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.3 Vector Algebra - PDF Download
NCERT solutions for class 12 maths chapter 10 exercise 10.3 Vector Algebra is based on the topic product of two vectors such as the scalar or dot product of two vectors and projection of a vector on a line. As you already have learnt that function can be multiplied in two ways namely, multiplication of two functions pointwise and composition of two functions. Similarly here, you will gain a deep knowledge of multiplication of two vectors in two ways. Subject matter experts of eSaral have prepare...
Read More →NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.2 Differential Equations - PDF Download
NCERT solutions for class 12 maths chapter 9 exercise 9.2 Differential Equations explains how to find general and particular solutions of a differential equation. You will get to understand the concepts and definitions of general and particular solutions of a differential equation by going through the NCERT solutions for ex 9.2 class 12 maths provided by the academic team of mathematics. These solutions have been developed in such a way to provide you deep knowledge of the concepts for preparing...
Read More →NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.5 Differential Equations - PDF Download
NCERT solutions for class 12 maths chapter 9 exercise 9.5 Differential Equations explains the next method of solving differential equations by linear differential equations. You will learn two well known equations related to linear differential equations. This topic is elaborated in detailed form with simple and precise language that will help you to comprehend the questions. Solving questions of ex 9.5 class 12 maths solutions will be helpful in preparing for board exams. There are a total of 1...
Read More →NCERT Solutions for Class 12 Maths Chapter 8 Exercise 8.1 Application of Integrals - PDF Download
NCERT Solutions for class 12 maths chapter 8 exercise 8.1 Application of Integrals deals with the topic that is the area under simple curves. Students should be familiar with curves like circles, parabolas, and ellipses as well as the formulas for the associated standard equations. They should also gain a comprehension of definite integrals. In order to solve the questions in ex 8.1 class 12 maths chapter 8, you need to focus on the diagrams. eSarals subject experts of mathematics have provided ...
Read More →NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.3 Differential Equations - PDF Download
NCERT solutions for class 12 maths chapter 9 exercise 9.3 Differential Equations teaches the method of solving first order-first degree differential equations with variables separable. Solving this exercise can be easy if you understand the concept of first order differential equations with separable variables. eSarals expert team of mathematics have developed these NCERT solutions for students to get a thorough understanding of this topic. With the help of these solutions, You will be able to s...
Read More →NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 Differential Equations - PDF Download
NCERT solutions for class 12 maths chapter 9 exercise 9.4 Differential Equations discusses the topic homogeneous differential equations to find solutions of exercise questions. Ex 9.4 class 12 maths solutions are explained by eSarals subject experts with in-depth analysis of concepts. Solving questions in ex 9.4 class 12 maths chapter 9 will help you to get through with the concepts easily. All the questions in ex 9.4 are solved with deep understanding of concepts of homogeneous differential equ...
Read More →NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.1 Differential Equations - PDF Download
NCERT solutions for class 12 maths chapter 9 exercise 9.1 Differential Equations explained the basic concepts of differential equations such as order and degree of a differential equation. The academic team of mathematics at eSaral have described these concepts in a simple and precise manner for students to solve questions related to this exercise in exams. You have to be aware of the fact that order and degree (if defined) of a differential equation are always positive integers. Ex 9.1 class 12...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.10 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.10 Integrals describes some properties of definite integrals that make it easier to evaluate the definite integrals. To better comprehend this exercise, you should go through the methods used to prove these properties. The academic team of mathematics at eSaral have provided thorough knowledge of these properties to solve the questions of ex 7.10 class 12 maths chapter 7. Class 12 maths chapter 7 exercise 7.10 NCERT solutions has a total of...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.8 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.8 Integrals describes the definite integral. The representation of definite integrals as a limit of a sum and their notation are covered in this section. This exercise also elaborates the fundamental theorem of Calculus including all the different aspects of integral calculus. By using antiderivatives, these theorems will allow you to assess definite integrals. Ex 7.8 class 12 maths solutions are developed by the subject experts of eSaral t...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.9 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.9 Integrals covers an essential topic of determining the definite integral using substitution. This exercise has several questions that allow you to practice the substitution method for indefinite integrals. In NCERT solutions for class 12 maths chapter 7 exercise 7.9, you will be given a function in each of these problems and you have to use the " substitution method" to calculate the integral of it. To solve these questions, you must comp...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7. 6 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.6 Integrals is based on the questions related to the integration by parts or partial integration method. In integrating products of functions, the partial integration method of integration is quite useful. We obtain the integration by parts formula using the product rule of differentiation. All the solutions for questions of ex 7.6 class 12 maths chapter 7 are developed by the academic team of mathematics at eSaral for students to get a dee...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7. 7 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.7 Integrals includes questions based on a particular kind of integral learning. This section discusses a few specific kinds of standard integrals that are based on the method of integration by parts. Students will gain an understanding of this method by solving questions of ex 7.7. Our academic team of mathematics have provided a deep knowledge of solving questions by a particular type of integral in this exercise that will help you in prep...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5 Integrals - PDF Download
NCERT solutions for class 12 math chapter 7 exercise 7.5 Integrals teaches students how to find integrals using partial fractions. One simple method for decomposing and integrating a rational function with a complex polynomial function in the denominator is integration by partial fractions. Class 12 maths chapter 7 exercise 7.5 NCERT solutions has questions with answers to help you revise the concepts for preparing exams. Ex 7.5 class 12 maths chapter 7 has a total of 23 questions in which 21 qu...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.4 Integrals presents the application of particular functions, whose integration is commonly required. The questions of exercise 7.4 require the pre-calculated integration of a few common functions. In order to solve sums, students must go through the process of derivation of these functions. NCERT solutions for ex 7.4 class 12 maths chapter 7 are developed by the subject experts of eSaral to help you understand the concepts of this topic in...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7. 3 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.3 Integrals has a series of questions that requires knowledge of the integral as the inverse of differentiation in addition to using the method of trigonometric identities to determine the integration of functions. This exercise is not too difficult to solve questions as long as students have a solid grasp of the concepts. Class 12 maths chapter 7 exercise 7.3 NCERT solutions are developed by subject experts of eSaral with in-depth explanat...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.2 Integrals includes questions that allow students to practice calculating the integral of functions. In exercise 7.2 class 12 maths, you will be given a function in each of the problems, and you must use the "Method of substitution" to determine its integral. You will learn the simple method of substitution to find the solution of integral. In order to gain a deep knowledge of this topic, our academic team of mathematics have provided NCER...
Read More →NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.6 Continuity and Differentiability - PDF Download
NCERT solutions for class 12 maths chapter 5 exercise 5.6 Continuity and Differentiability, provides a thorough understanding of the applications and finding derivatives of functions in parametric forms. We must apply the chain rule in order to determine the derivative of a parametric function. This exercise uses a lot of examples and questions to implement the comprehension of concepts. You can find precise and detailed knowledge of this topic by solving NCERT solutions of ex 5.6 class 12 maths...
Read More →NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 Continuity and Differentiability - PDF Download
NCERT solutions for class 12 maths exercise 5.3 Continuity and Differentiability is designed to teach students about the differentiability of a few standardized functions, such as implicit and inverse trigonometric functions. Class 12 maths chapter 5 exercise 5.3 provides NCERT solutions for all the questions of ex 5.3. Students can go through these solutions for better understanding of these sums. Ex 5.3 class 12 maths chapter 5s questions are solved by subject experts of eSaral that make stude...
Read More →NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.3 Application of Derivatives - PDF Download
NCERT solutions for class 12 maths chapter 6 exercise 6.3 Application of Derivatives using derivatives explains how derivatives can be used to figure out the maximum or minimum value of different functions. Class 12 maths chapter 6 exercise 6.3 NCERT solutions provide the theoretical portion of this exercise which is very helpful in understanding how to draw the graph of a function. In addition, students will also be able to identify the absolute maximum and absolute minimum of a function which ...
Read More →NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.2 Application of Derivatives - PDF Download
NCERT solutions for class 12 maths chapter 6 exercise 6.2 Application of Derivatives focuses on applying differentiation to figure out if a function is increasing or decreasing for a particular range. Students can easily utilize these properties of derivatives by understanding them. This topic is very relevant to real life, thus it requires a lot of practice and revision. Class 12 maths chapter 6 exercise 6.2 NCERT solutions are prepared by the academic team of mathematics at eSaral. These solut...
Read More →NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.1 Application of Derivatives - PDF Download
NCERT solutions for class 12 maths chapter 6 exercise 6.1 Application of Derivatives has questions that are based on the rate of change of quantities. Students may find the application of derivatives confusing at first, but with the extensive sum practice offered in class 12 maths NCERT solutions chapter 6 exercise 6.1, it becomes simple for students to get rid of any mistakes and misunderstandings. Gaining a grasp of how to calculate the rate of change is essential for evaluating solutions in m...
Read More →NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.4 Continuity and Differentiability - PDF Download
NCERT solutions for class 12 maths chapter 5 exercise 5.4 Continuity and Differentiability addresses the essential concepts of exponential and logarithmic functions. To solve complicated problems of differentiability and get an in-depth knowledge of concepts, you must follow a precise understanding of exponential and logarithmic functions. In order to get a clear understanding of questions included in ex 5.4, you can download the NCERT solutions for class 12 maths chapter 5 ex 5.4 developed by a...
Read More →NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 Integrals - PDF Download
NCERT solutions for class 12 maths chapter 7 exercise 7.1 Integrals requires us to determine the integration as an inverse process of differentiation and some properties of indefinite integral. Since differentiation and integration are closely connected, NCERT solutions developed by subject experts of eSaral help students understand the differences between the two processes so they can better understand the concepts. Solutions of ex 7.1 class 12 maths chapter 7 are created in simple language to ...
Read More →NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.7 Continuity and Differentiability - PDF Download
NCERT solutions for class 12 maths chapter 5 exercise 5.7 Continuity and Differentiability focuses on second-order derivatives and related concepts. The second derivative, also known as the second-order derivative in calculus, is useful for calculating the rate of change of a quantity to itself. Ex 5.6 class 12 maths chapter 5 is a great way to assist students in applying a variety of methods to determine the second-order derivatives of various function types. Class 12 maths chapter 5 exercise 5...
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