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 5.5 Continuity and Differentiability - PDF Download
NCERT solutions for class 12 maths chapter 5 exercise 5.5 Continuity and Differentiability describes an important topic of logarithmic differentiation. Logarithmic differentiation is the process of differentiating a logarithmic function. The concepts of logs can be used to simplify difficult functions. As a result, finding the differential of an equation becomes simpler. The experts of mathematics at eSaral have developed the NCERT solutions of exercise 5.5 for benefits of the topic. Through the...
Read More →NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 Continuity and Differentiability - PDF Download
NCERT solutions for class 12 maths chapter 5 exercise 5.2 Continuity and Differentiability have combined questions related to differentiability of functions. Students will learn to find the derivatives of composite functions by solving the questions found in NCERT solutions for class 12 maths chapter 5 exercise 5.2. eSarals expert team of mathematics have developed these solutions precisely so that you can comprehend the questions and score good marks in exams. Class 12 maths chapter 5 exercise ...
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Read More →NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants - PDF Download
NCERT solutions for class 12 maths chapter 4 exercise 4.2 Determinants have explained the concept of calculating the area of a triangle using determinants. Determinants can be used to calculate and express the area of a triangle whose vertices are known. The area of the triangle formed by using three collinear points is zero. NCERT solutions for class 12 maths chapter 4 ex 4.3 have interactive illustrations that are a great way to enhance computational skills. Ex 4.2 class 12 maths chapter 4 con...
Read More →NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1 Determinants - PDF Download
NCERT solutions for class 12 maths chapter 4 exercise 4.1 Determinants is based on finding the determinant of the square matrix. In this exercise, you will also learn the determinant of matrix of order one, determinant of a matrix of order two and determinant of a matrix of order 3x3. A scalar quantity is the value of the determinant that is dependent on certain properties and parameters of linear algebra. Class 12 maths chapter 4 exercise 4.1 NCERT solutions has a total of 8 questions related t...
Read More →NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5 Determinants - PDF Download
NCERT solutions for class 12 maths chapter 4 exercise 4.5 Determinants provides deep understanding of applications of determinants and matrices in solving the system of linear equations in two or three variables. The questions included in these solutions are excellent for providing a thorough understanding of using determinants to achieve linear equation solutions. Class 12 maths chapter 4 NCERT solutions are also important for developing the error-free learning strategy needed to perform well i...
Read More →NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.3 Matrices - PDF Download
NCERT solutions for class 12 maths chapter 3 exercise 3.3 Matrices describes the topics such as transpose of a matrix, its properties and symmetric and skew symmetric matrices. Questions of exercise 3.3 are completely dependent on these topics. In ex 3.3 class 12 maths chapter 3, there are interactive examples to provide you a clear understanding of these topics. NCERT solutions class 12 maths chapter 3 ex 3.3 are prepared by highly qualified teachers of eSaral to make the complex concepts easy ...
Read More →NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 Determinants - PDF Download
NCERT solutions for class 12 maths chapter 4 exercise 4.3 Determinants explain an essential topic of minors and cofactors of determinants. This exercise will cover the definitions of minors and cofactors and the terms related to them. Minors and cofactors are important concepts to understand the complex questions asked in ex 4.3. Class 12 maths chapter 4 exercise 4.3 NCERT solutions are developed by the academic team of mathematics at eSaral to provide a deep knowledge of this topic. Ex 4.3 clas...
Read More →NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.2 Probability - PDF Download
NCERT solutions for class 11 maths chapter 14 exercise 14.2 probability is concerned with the axiomatic approach of finding probability. Ex 14.2 class 11 maths chapter 14 now combines sample space knowledge and events with axioms probability. This gives us a set of questions that not only help us practice but also help us gain a deeper understanding of the axiomatic method of probability. Class 11 maths chapter 14 exercise 14.2 NCERT solutions consists of 21 questions. The first few questions wi...
Read More →NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Matrices - PDF Download
NCERT solutions for class 12 maths chapter 3 exercise 3.4 Matrices explains invertible matrices. In this exercise, you will learn some important theorems related to invertible matrices. Ex 3.4 class 12 maths chapter 3 solutions have included examples, and sample questions that deliver basic understanding of the topic. Our subject experts have develop these solutions, to promote error free learning. Class 12 maths chapter 3 exercise 3.4 NCERT solutions are also available in PDF format at eSaral w...
Read More →NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1 Continuity and Differentiability - PDF Download
NCERT solutions for class 12 maths chapter 5 exercise 5.1 Continuity and Differentiability covers continuous functions and their algebra. These solutions contain questions based on continuity. While the algebra of continuous functions may appear difficult at first for students, but with thorough practice of questions provided in ex 5.1 class 12 maths chapter 5, students can understand the pattern of questions and find their answers without any confusion. Our subject experts of eSaral have explai...
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In the dynamic landscape of the 21st century, India is rapidly embracing the digital revolution, marking a transformative journey towards progress and inclusivity. The vision of a 'Digital India' is not merely a slogan but a comprehensive initiative that seeks to harness the power of technology to propel the nation into a new era of development. At its core, Digital India is a government-led program that aims to ensure that government services are made available to all citizens electronically. I...
Read More →NEET Biology Syllabus - PDF Download 2025
NEET UG 2025 syllabus of Biology will be based upon NCERT books of Biology for Class 11 Class 12. The Biology syllabus carries the maximum weightage of marks in the NEET exam. Therefore, to excel in the exam, it is important to understand the Chapter-wise weightage. The Biology syllabus has two important sections: Botany Zoology, each of which is worth 50 marks. In total, 360 marks can be achieved by trying 90 questions. Therefore, it is essential to thoroughly study the entire syllabus which in...
Read More →NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.4 Determinants - PDF Download
NCERT solutions class 12 maths chapter 4 exercise 4.4 Determinants describes the essential concepts of adjoint and inverse of a matrix. You will get to learn four theorems in this NCERT solution which are based on concepts of adjoint of a matrix. Students will find it easier to apply these theorems to get the inverse of a matrix if they refer to the NCERT solutions in class 12 maths chapter 4 ex 4.4. There are a total of 18 questions in class 12 maths chapter 4 exercise 4.4 NCERT solutions that ...
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Sports play a pivotal role in shaping the holistic development of individuals and societies, transcending mere physical activity to become a cornerstone of human culture and progress. The importance of sports extends far beyond the confines of a playing field, resonating in various facets of life, from personal well-being to community bonding and even global diplomacy. In its essence, sports are a manifestation of the human spirit's indomitable will and the pursuit of excellence. The physical be...
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Terrorism is a grave issue that affects the safety and well-being of people around the world. In simple terms, terrorism refers to acts of violence or intimidation intended to create fear and panic among the general population. It is a menace that transcends borders and targets innocent civilians, posing a significant threat to global peace. The motives behind terrorism vary, ranging from political ideologies to religious extremism. Terrorist groups often use violence as a means to achieve their...
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Introduction about the Topic - Essay on Social Media In the vast landscape of the digital age, social media stands as a captivating tapestry that weaves connections, information, and expressions together. It has become an integral part of our lives, shaping how we communicate, share experiences, and stay informed. As we delve into the realm of social media, let's unravel its diverse threads, exploring both its positive influences and challenges that accompany this dynamic phenomenon. The social ...
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NEET (National Eligibility cum Entrance Test) is the single national-level medical entrance examination conducted for admission to undergraduate medical courses in India. If you are planning to appear for NEET 2026, staying updated with theNEET exam date, application schedule, and related events is extremely important. Before moving ahead, students should clearly understand what is NEET, the NEET full form, and the overall structure of the NEET exam. NEET 2026 Overview The table below highlights...
Read More →NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2 Matrices - PDF Download
NCERT solutions for class 12 maths chapter 3 exercise 3.2 Matrices involve problems based on arithmetic operations on matrices. Mathematical operations on matrices are primarily divided into three categories. They can be multiplied, subtracted, or added according to certain rules of using matrix algebra. Each element of a matrix can be performed to an individual element-wise arithmetic operation. This topic requires extensive practice and revision because it is very relevant to real-world situat...
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