In the contemporary world, the pedagogy of education has changed from sitting in a classroom with all your friends and the instructor making you learn the subject to sitting in front of your smartphone or laptop screen and watching the PDF screen shared by your teachers. Moreover, the pandemic has completely changed the way of teaching and learning. Unable to grasp all the concepts taught online, the students find it difficult to solve their textbook problems and are often rendered helpless. Many students ask their elder siblings for help, but many others cannot find the right person to guide them to the right path. Expert books like RD Sharma, RS Aggarwal, etc., have many examples for the students to comprehend the topics. However, several exercise questions still baffle the students. Keeping this in mind, we have created expert solutions for awe-inspiring 'RD Sharma', spellbinding 'RS Aggarwal', and the thought-provoking 'Lakhmir Singh Solutions.'
Candidates studying under the CBSE board and looking for the solutions to these three knowledgeable books can refer to this article. We have posted the solutions for all the exercises, including NCERT for Class 6 to Class 12 for major subjects like Math and Science (Physics, Chemistry, and Biology separately for classes 9 and 10), following the updated academic session 2020-21. The solutions for Class 6 to Class 12 have been created to assist students at all academic levels. The solutions of each book have been provided with thorough answers for all questions while keeping the marking scheme for each question in mind.
Aakash has made a great effort to provide keynotes following each section with the fundamental overview, major equations, and the main topics addressed in the reading material. Students seeking acceptable solutions to queries in RD Sharma, RS Aggarwal, and Lakhmir Singh books will now be able to put their search to rest. These RD Sharma, RS Aggarwal, and Lakhmir Singh course answers arrangements are built up after extensive research, making it stand out amid other online RD Sharma, RS Aggarwal, and Lakhmir Singh Solutions. It provides a step-by-step explanation of each address presented in the course materials. The Aakash RD Sharma, RS Aggarwal, and Lakhmir Singh Solutions may also be of great assistance to students for their home assignments and state and national level competitive examinations.
Without further ado, let us look at the book-wise segregation of Aakash Solutions for RD Sharma, RS Aggarwal, and Lakhmir Singh. Each book has a different section in this article, and each of them is introduced thoroughly along with the list of chapters.
The RD Sharma book is a treasure for mathematicians. It is one of the greatest books since it provides full information and understanding of every subject, preparing students to confront any type of inquiry, regardless of its complexity. The book's author is the well-known Dr RD Sharma. He has over 30 years of teaching experience at the postgraduate, graduate, and diploma levels. He has published around 25 books spanning from class VI to postgraduate level, all of which have been highly welcomed by readers.
He is now the Head of the Department (Science and Humanities) at the Government of Delhi's Department of Technical Education. Suppose you are looking for an additional book to help you study mathematics fully and comprehend all concepts connected to any topic. In that case, RD Sharma is one of the most recognised books. Many experts recommend this book to get high grades in examinations. This book will help you to understand your concepts better. This book aids the student to grasp mathematical topics. This book offers everything a reader, student, or instructor might want. It has everything from exercises to MCQs to comprehensive theory on every area in mathematics.
Aakash Institute's RD Sharma Solutions for Class 6 to 12 is the greatest solution handbook accessible on the internet. The solutions are grouped by chapter and further divided by practice, making it incredibly easy for students to explore and pick any specific topic for which the solution is required. You will also find yourself in a better place than before in solving problems after going through the solution handbook. The book is in an easy to comprehend language specially designed by experts for the general public. Let us thoroughly know about class-wise RD Sharma solutions by Aakash Institute.
Class 12 is the last grade of any student's school life, and the scholar's beginning to step out into the competitive world. This grade helps nurture the student in every field and make him/her ready for the future. Class 12 mathematics majorly focuses on Calculus, i.e., integration and differentiation. Advance level 3-D geometry is taught to the student along with high-level probability and statistics. Students interested in Engineering or scientific work enjoy these concepts, but they often get stuck in various problems. RD Sharma Solutions for Class 12 Maths helps students ace their board examination because of the straightforward explanations of every question step-wise. Experts have designed the RD Sharma Solutions for Class 12 Maths and included competitive exam questions to help you score well in JEE mains, JEE advance, etc.
The chapters embedded in the RD Sharma Solutions for Class 12 Maths are as follows:
Chapter 1: Relations
Chapter 2: Functions
Chapter 3: Binary Operations
Chapter 4: Inverse Trigonometric Functions
Chapter 5: Algebra of Matrices
Chapter 6: Determinants
Chapter 7: Adjoint and Inverse of a Matrix
Chapter 8: Solution of Simultaneous Linear Equations
Chapter 9: Continuity
Chapter 10: Differentiability
Chapter 11: Differentiation
Chapter 12: Higher Order Derivatives
Chapter 13: Derivative as a Rate Measurer
Chapter 14: Differentials, Errors, and Approximations
Chapter 15: Mean Value Theorems
Chapter 16: Tangents and Normals
Chapter 17: Increasing and Decreasing Functions
Chapter 18: Maxima and Minima
Chapter 19: Indefinite Integrals
Class 11th incorporates the advanced concepts of mathematics. The students are taught high-level trigonometry with numerous identities and formulas. Also, the scholars are made aware of the basics of 3D geometry along with leading concepts of the circle, parabola, hyperbola, and ellipse. The fundamentals of differentiation are also clarified in this grade. These topics are covered in the RD Sharma Solutions for Class 11 Maths by our professional teaching team. They have also explained the concepts creatively and clearly so that any student could grasp them. Students can also use this book to tackle competitive test problems.
The list of chapters enclosed in RD Sharma Solutions for Class 11 Maths are stated below:
Chapter 1 Sets
Chapter 2 Relations
Chapter 3 Functions
Chapter 4 Measurement of Angles
Chapter 5 Trigonometric Functions
Chapter 6 Graphs of Trigonometric Functions
Chapter 7 Trigonometric Ratios of Compound Angles
Chapter 8 Transformation Formulae
Chapter 9 Trigonometric Ratios of Multiple and Submultiple Angles
Chapter 10 Sine and Cosine Formulae and Their Applications
Chapter 11 Trigonometric Equations
Chapter 12 Mathematical Induction
Chapter 13 Complex Numbers
Chapter 14 Quadratic Equations
Chapter 15 Linear Inequations
Chapter 16 Permutations
Chapter 17 Combinations
Chapter 18 Binomial Theorem
Chapter 19 Arithmetic Progressions
Chapter 20 Geometric Progressions
Chapter 21 Some Special Series
Chapter 22 Brief Review of Cartesian System of Rectangular Coordinates
Chapter 23 The Straight Lines
Chapter 24 The Circle
Chapter 25 Parabola
Chapter 26 Ellipse
Chapter 27 Hyperbola
Chapter 28 Introduction to 3D Coordinate Geometry
Chapter 29 Limits
Chapter 30 Derivatives
Chapter 31 Mathematical Reasoning
Chapter 32 Statistics
Chapter 33 Probability
Class 10 is feared as the "boards" class. The mathematics of 10th grade is enough to petrify the students as advanced level concepts are taught in this grade. The students have to learn basic concepts of chapters like trigonometry, application of trigonometry, construction, surface areas, and volumes of 3D figures. At the end of the year, students have to appear for the annual examination, and a single mistake can lead to the loss of valuable numbers. But don't falter. The Aakash RD Sharma Solutions for Class 10 Maths has got you covered. The students won't be confused about solving the problems as each question has a step-by-step solution with comprehensive language for the general audience.
The list of chapters present in the RD Sharma Solutions for Class 10 Maths are given below:
Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Pair of Linear Equations in Two Variables
Chapter 4 Triangles
Chapter 5 Trigonometric Ratios
Chapter 6 Trigonometric Identities
Chapter 7 Statistics
Chapter 8 Quadratic Equations
Chapter 9 Arithmetic Progressions
Chapter 10 Circles
Chapter 11 Constructions
Chapter 12 Some Applications of Trigonometry
Chapter 13 Probability
Chapter 14 Coordinate Geometry
Chapter 15 Areas Related to Circles
Chapter 16 Surface Areas and Volumes
Class 9 acts as the starting point for the preparation of board and other competitive exams. High-level mathematics begins to haunt the students as soon as they reach the 9th standard. The students are made aware of rationalisation, coordinate geometry, Heron's formula, Euclid's geometry, etc. The problems for each chapter may baffle the students. Therefore, RD Sharma Solutions Class 9 Maths is designed and published easily to comprehend language and comes with a step-wise solution to every problem.
The RD Sharma Solutions for Class 9 Maths incorporates the following chapters:
Chapter 1 Number System
Chapter 2 Exponents of Real Numbers
Chapter 3 Rationalisation
Chapter 4 Algebraic Identities
Chapter 5 Factorisation of Algebraic Expressions
Chapter 6 Factorisation of Polynomials
Chapter 7 Introduction to Euclid's Geometry
Chapter 8 Lines and or Angles
Chapter 9 Triangles and its Angles
Chapter 10 Congruent Triangles
Chapter 11 Coordinate Geometry
Chapter 12 Heron's Formula
Chapter 13 Linear Equations in Two Variables
Chapter 14 Quadrilaterals
Chapter 15 Area of Parallelograms and Triangles
Chapter 16 Circles
Chapter 17 Constructions
Chapter 18 Surface Area and Volume of a Cuboid and Cube
Chapter 19 Surface Area and Volume of a Right Circular Cylinder
Chapter 20 Surface Area and Volume of a Right Circular Cone
Chapter 21 Surface Area and Volume of a Sphere
Chapter 22 Tabular Representation of Statistical Data
Chapter 23 Graphical Representation of Statistical Data
Chapter 24 Measures of Central Tendency
Chapter 25 Probability
Class 8 is considered the last but not the least class to learn the basic mathematics concepts. This class is the stepping stone that makes the student ready for learning advanced mathematics in higher grades. In this class, major concepts like time and work problems, square and square root, cube and cube root, factorisation, construction of shapes, etc., are clarified. The students take an interest in studying mathematics due to the diversity in topics. RD Sharma Solutions for class 8 offers the students simple tricks to solve their problems. The answers make them self-sufficient in learning the concept and the technique to solve every problem.
The RD Sharma Solutions for Class 8 Maths comprises the following chapters:
Chapter 1 Rational Numbers
Chapter 2 Powers
Chapter 3 Squares and Square Roots
Chapter 4 Cubes and Cube Roots
Chapter 5 Playing with Numbers
Chapter 6 Algebraic Expressions and Identities
Chapter 7 Factorisations
Chapter 8 Division of Algebraic Expressions
Chapter 9 Linear Equations in One Variable
Chapter 10 Direct and Inverse variations
Chapter 11 Time and Work
Chapter 12 Percentage
Chapter 13 Profits, Loss, Discount, and Value Added Tax (VAT)
Chapter 14 Compound Interest
Chapter 15 Understanding Shapes I (Polygons)
Chapter 16 Understanding Shapes II (Quadrilaterals)
Chapter 17 Understanding Shapes III (Special Types of Quadrilaterals)
Chapter 18 Practical Geometry
Chapter 19 Visualising Shapes
Chapter 20 Mensuration I (Area of a Trapezium and a Polygon)
Chapter 21 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)
Chapter 22 Mensuration III (Surface Area and Volume of a Right Circular Cylinder)
Chapter 23 Data Handling I (Classification and Tabulation of Data)
Chapter 24 Data Handling II (Graphical Representation of Data as Histograms)
Chapter 25 Data Handling III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
Chapter 26 Data Handling IV (probability)
Chapter 27 Introduction to Graphs
The students start to dive into various mathematical theorems and concepts as soon as they reach class 7. The math starts to become much more interesting with concepts like integers, fractions, decimals, and rational numbers. Also, the students start to learn about commercial topics like percentages and are taught to solve profit and loss questions. Many other interesting topics make the student glued to the subject. RD Sharma Solutions for class 7 help the students with straightforward solutions to major mathematical and word problems related to each chapter individually.
The chapters present in the RD Sharma Solutions for Class 7 Maths are as follows:
Chapter 1 Integers
Chapter 2 Fractions
Chapter 3 Decimals
Chapter 4 Rational Numbers
Chapter 5 Operations on Rational Numbers
Chapter 6 Exponents
Chapter 7 Algebraic Expressions
Chapter 8 Linear Equations in One Variable
Chapter 9 Ratio and Proportion
Chapter 10 Unitary Method
Chapter 11 Percentage
Chapter 12 Profit and Loss
Chapter 13 Simple Interest
Chapter 14 Lines and Angles
Chapter 15 Properties of Triangles
Chapter 16 Congruence
Chapter 17 Constructions
Chapter 18 Symmetry
Chapter 19 Visualising Solid Shapes
Chapter 20 Mensuration I
Chapter 21 Mensuration II
Chapter 22 Data Handling I (Collection and organisation of Data)
Chapter 23 Data Handling II (Central Values)
Chapter 24 Data Handling III (Construction of Bar Graphs)
Chapter 25 Data Handling IV (Probability)
Class 6 is considered the base class, which marks the advent of better concepts and topics for Mathematics. The students learn many fundamental concepts like Whole numbers, fractions, decimals, Circle, quadrilateral, Geometry, etc., which increases their mathematical knowledge. RD Sharma's solution for class 6 helps the young mathematicians with answers to their problems and provides them with the way to solve any problem easily.
The chapters enclosed in the RD Sharma Solutions for Class 6 Maths are as follows:
Chapter 1 Knowing Our Numbers
Chapter 2 Playing with Numbers
Chapter 3 Whole Numbers
Chapter 4 Operations on whole Numbers
Chapter 5 Negative Numbers and Integers
Chapter 6 Fractions
Chapter 7 Decimals
Chapter 8 Introduction to Algebra
Chapter 9 Ratio, Proportion, and Unitary Method
Chapter 10 Basic Geometrical Concepts
Chapter 11 Angles
Chapter 12 Triangles
Chapter 13 Quadrilaterals
Chapter 14 Circles
Chapter 15 Pair of Lines and Transversal
Chapter 16 Understanding Three Dimensional Shapes
Chapter 17 Symmetry
Chapter 18 Basic Geometrical Tools
Chapter 19 Geometrical Constructions
Chapter 20 Mensuration
Chapter 21 Data Handling I (Presentation of Data)
Chapter 22 Data Handling II (Pictographs)
Chapter 23 Data Handling III (Bar Graphs)
RS Aggarwal is an unmistakable name among CBSE math students. RS Aggarwal textbooks are regarded as some of the most important texts for school Mathematics in India, and they are responsible for a solid foundation in Math for many students. RS Aggarwal answers are an efficient approach to cover the whole Math course. Students may rely on RS Aggarwal answers to clear any difficulties in ICSE and CBSE Maths. The author of the book Dr R.S. Aggarwal is renowned in the field of Mathematics in India. He has written almost 75 books, spanning from Nursery to M. Sc. He has also authored books for competitive examinations ranging from clerical to IAS. This bestselling book is based on the CBSE/Core syllabus. The book satisfies the curriculum requirements and aids in the preparation of a solid basis for competitive tests.
RS Aggarwal solutions by Aakash Institute are an efficient approach to cover the whole Math course. Students may rely on RS Aggarwal answers to clear any difficulties in CBSE Maths. These answers complement the skillfully crafted textbooks for effective Math test preparation. Aakash Institute offers meticulously designed solutions to all RS Aggarwal textbook problems for CBSE students. The vast array of practice problems and solutions from RS Aggarwal is especially useful for CBSE Board exam candidates in gaining a firm grasp on all topics in Trigonometry, Arithmetic, Geometry, and Algebra. Let us thoroughly know about class-wise RS Aggarwal solutions by Aakash Institute.
Class 12 is the last step before entering college, which marks the beginning of the scholar's journey into the competitive world. This grade serves to develop the learner in all areas and prepare him or her for the future. Calculus, i.e., integration and differentiation, is the primary emphasis of class 12 mathematics. The learner is taught advanced level 3-dimension geometry, maxima, minima, and high-level probability and statistics. Students interested in engineering or science need these concepts, and they frequently get confused on questions. By step-by-step explanations of each question, RS Aggarwal Solutions for Class 12 Maths assists students in acing their board test. Experts created the RS Aggarwal Solutions for Class 12 Maths, including competitive exam questions that may help you perform well in JEE mains, JEE advance, and other exams.
The following chapters are included in the RS Aggarwal Solutions for Class 12 Math:
Chapter 1 Relations
Chapter 2 Functions
Chapter 3 Binary Operations
Chapter 4 Inverse Trigonometric Functions
Chapter 5 Algebra of Matrices
Chapter 6 Determinants
Chapter 7 Adjoint and Inverse of a Matrix
Chapter 8 Solution of Simultaneous Linear Equations
Chapter 9 Continuity
Chapter 10 Differentiability
Chapter 11 Differentiation
Chapter 12 Higher Order Derivatives
Chapter 13 Derivative as a Rate Measurer
Chapter 14 Differentials, Errors, and Approximations
Chapter 15 Mean Value Theorems
Chapter 16 Tangents and Normals
Chapter 17 Increasing and Decreasing Functions
Chapter 18 Maxima and Minima
Chapter 19 Indefinite Integrals
Chapter 20 Definite Integrals
Chapter 21 Areas of Bounded Regions
Chapter 22 Differential Equations
Chapter 23 Algebra of Vectors
Chapter 24 Scalar or Dot Product
Chapter 25 Vector or Cross Product
Chapter 26 Scalar Triple Product
Chapter 27 Direction Cosines and Direction Ratios
Chapter 28 Straight line in space
Chapter 29 The plane
Chapter 30 Linear programming
Chapter 31 Probability
Chapter 32 Mean and variance of a random variable
Chapter 33 Binomial Distribution
Class 11 introduces advanced mathematical topics. Students are taught high-level trigonometry, which includes a plethora of identities and formulae. In addition, the scholars are taught the fundamentals of 3D geometry and the leading ideas of a circle, parabola, hyperbola, and ellipse. This grade introduces the principles of differentiation. Our expert teaching team covers all of these topics in the RS Aggarwal Solutions for Class 11 Maths. The experts have explained the topics uniquely and straightforwardly, allowing any learner to understand them. Students can also utilise this book to solve competitive exam problems.
The following are the chapters included in RS Aggarwal Solutions for Class 11 Math:
Chapter 1 Sets
Chapter 2 Relations
Chapter 3 Functions
Chapter 4 Measurement of Angles
Chapter 5 Trigonometric Functions
Chapter 6 Graphs of Trigonometric Functions
Chapter 7 Trigonometric Ratios of Compound Angles
Chapter 8 Transformation Formulae
Chapter 9 Trigonometric Ratios of Multiple and Submultiple Angles
Chapter 10 Sine and Cosine Formulae and Their Applications
Chapter 11 Trigonometric Equations
Chapter 12 Mathematical Induction
Chapter 13 Complex Numbers
Chapter 14 Quadratic Equations
Chapter 15 Linear Inequations
Chapter 16 Permutations
Chapter 17 Combinations
Chapter 18 Binomial Theorem
Chapter 19 Arithmetic Progressions
Chapter 20 Geometric Progressions
Chapter 21 Some Special Series
Chapter 22 Brief Review of Cartesian System of Rectangular Coordinates
Chapter 23 The Straight Lines
Chapter 24 The Circle
Chapter 25 Parabola
Chapter 26 Ellipse
Chapter 27 Hyperbola
Chapter 28 Introduction to 3D Coordinate Geometry
Chapter 29 Limits
Chapter 30 Derivatives
Chapter 31 Mathematical Reasoning
Chapter 32 Statistics
Chapter 33 Probability
Class 10th brings the first instance of the board examinations. As advanced-level ideas are presented in this grade, the pupils become terrified of mathematics. Students must master the fundamentals of trigonometry, trigonometric applications, polynomials, area of a circle, and volumes of 3D objects. Even in the steps or a part of the formulae, any mistakes lead to the loss of marks. For this very purpose, RS Aggarwal Solutions for Class 10 Maths is here to help. Mathematical experts have incorporated solutions for each chapter in the book. The pupils will get a step-by-step solution that is understandable even to the general public.
The following chapters are included in the RS Aggarwal Solutions for Class 10 Math:
Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Linear equations in two variables
Chapter 4 Triangles
Chapter 5 Trigonometric Ratios
Chapter 6 T-Ratios of Some Particular Angles
Chapter 7 Trigonometric Identities
Chapter 8 Trigonometric Ratios of Complementary Angles
Chapter 9 Mean, Median, Mode of Grouped Data, of Grouped Data
Chapter 10 Quadratic Equations
Chapter 11 Arithmetic Progressions
Chapter 12 Circles
Chapter 13 Constructions
Chapter 14 Height and Distance
Chapter 15 Probability
Chapter 16 Coordinate Geometry
Chapter 17 Perimeter and Areas of Plane Figures
Chapter 18 Areas of Circle, Sector, and Segment
Chapter 19 Volume and Surface Areas of Solids
Class 9 serves as the foundation for preparing for board and other competitive exams. As soon as kids enter the ninth grade, they are plagued with high-level mathematics. Topics such as Linear equation in one variable, coordinate geometry, Triangle and its angles, Congruency, Euclid's geometry, and so on are introduced to the pupils. The challenges for each chapter may be puzzling to the learners. As a result, RS Aggarwal Solutions Class 9 Maths are written in an easy-to-understand manner and includes step-by-step solutions to all problems.
The following chapters are included in the RS Aggarwal Solutions for Class 9 Math:
Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Introduction to Euclid's Geometry
Chapter 4 Angles, Lines and Triangles
Chapter 5 Congruence of Triangles and Inequalities in a Triangle
Chapter 6 Coordinate Geometry
Chapter 7 Areas
Chapter 8 Linear Equations in Two Variables
Chapter 9 Quadrilaterals and Parallelograms
Chapter 10 Area
Chapter 11 Circle
Chapter 12 Geometrical Constructions
Chapter 13 Volume and Surface Area
Chapter 14 Statistics
Chapter 15 Probability
Class 8 is regarded as the final hurdle in secondary school, but it is not the last class to acquire the fundamental ideas of mathematics. This subject serves as a stepping stone for students to acquire advanced mathematics in higher grades. Major topics such as time and work issues, square and square root, cube and cube root, factorisation, and so on are clarified to students in this session because of the variety of themes the pupils like studying mathematics. RS Aggarwal Solutions for Class 8 provides students with easy solutions to their difficulties. The solutions enable students to become self-sufficient in understanding the concept and approach for solving any challenge.
Chapter 1 Rational Numbers
Chapter 2 Exponents
Chapter 3 Squares and Square Roots
Chapter 4 Cubes and Cube Roots
Chapter 5 Playing with Numbers
Chapter 6 Operations on Algebraic Expressions
Chapter 7 Factorisation
Chapter 8 Linear Equations
Chapter 9 Percentage
Chapter 10 Profit and Loss
Chapter 11 Compound Interest
Chapter 12 Direct and Inverse Proportions
Chapter 13 Time and Work
Chapter 14 Polygons
Chapter 16 Parallelograms
Chapter 17 Construction of Quadrilaterals
Chapter 18 Area of a Trapezium and a Polygon
Chapter 19 Three-Dimensional Figures
Chapter 20 Volume and Surface Area of Solids
Chapter 21 Data Handling
Chapter 22 Constructing and Interpreting Bar Graphs
Chapter 23 Pie Charts
Chapter 24 Probability
Chapter 25 Graphs
As soon as they reach class 7, the students begin to delve into a range of additional mathematical theorems and concepts. Math becomes considerably more engaging with ideas such as integers, exponents, decimals, and visualising solid shapes. In addition, students begin to learn about commercial topics such as percentages and how to solve profit and loss questions. Many other intriguing topics keep the student engrossed in the subject. RS Aggarwal Solutions for Class 7 provide students with simple solutions to important numerical, algebraic and word problems associated with each chapter.
The following chapters are included in the RS Aggarwal Solutions for Class 7 Math:
Chapter 1 Integers
Chapter 2 Fractions
Chapter 3 Decimals
Chapter 4 Rational Numbers
Chapter 5 Exponents
Chapter 6 Algebraic Expressions
Chapter 7 Linear Equations in One Variable
Chapter 8 Ratio and Proportion
Chapter 9 Unitary Method
Chapter 10 Percentage
Chapter 11 Profit and Loss
Chapter 12 Simple Interest
Chapter 13 Lines and Angles
Chapter 14 Properties of Parallel Lines
Chapter 15 Properties of Triangles
Chapter 16 Congruence
Chapter 17 Constructions
Chapter 18 Reflection and Rotational Symmetry
Chapter 19 Three-Dimensional Shapes
Chapter 20 Mensuration
Chapter 21 Collection and Organisation of Data
Chapter 22 Bar Graphs
Chapter 23 Probability
Class 6 is regarded as the foundational class, heralding the advent of advanced mathematical concepts and themes. Students acquire a variety of fundamental topics such as whole numbers, fractions, decimals, introduction to algebra, quadrilaterals, symmetry, and so on, which expands their mathematical understanding. RS Aggarwal solution for class 6 offers young mathematician's solutions to their issues and shows them how to solve any problem quickly.
The following chapters are included in the RS Aggarwal Solutions for Class 6 Math:
Chapter 1 – Number System
Chapter 2 – Factors and Multiples
Chapter 3 – Whole Numbers
Chapter 4 – Integers
Chapter 5 – Fractions
Chapter 6 – Simplification
Chapter 7 - Decimals
Chapter 8 – Algebraic Expressions
Chapter 9 – Linear Equations in one variable
Chapter 10 – Ratio, Proportion and Unitary Method
Chapter 11 – Line Segment, ray, and Line
Chapter 12 – Parallel Lines
Chapter 13 – Angles and their measurement
Chapter 14 – Constructions
Chapter 15 – Polygons
Chapter 16 – Triangles
Chapter 17 – Quadrilaterals
Chapter 18 – Circles
Chapter 19 – Three-Dimensional Shapes
Chapter 20 – Two-Dimensional Reflection Symmetry
Chapter 21 – Concept of Perimeter and Area
Chapter 22 – Data Handling
Chapter 23 – Pictograph
Chapter 24 – Bar Graph
Lakhmir Singh's Science is a book series that follows the NCERT curriculum. The major goal of this series is to help students straightforwardly grasp complex scientific ideas using basic language. The major objective of this series is to assist students in grasping complex scientific ideas in a basic and easy-to-understand manner. This book concentrates on providing solutions to all three subjects: physics, biology, and chemistry. The Lakhmir Singh textbooks assist students in improving their knowledge and achieving high scores in the exams. This book provides a quick overview of how to answer questions in a certain manner while also emphasising a practical and theoretical understanding of the subject. This book also integrates principles with real-world situations and focuses on practical applications. The instances, ideas, and thoughts are all in line with the current trend. Students can quickly comprehend the concept and use it to develop their ideas and create new inventions. This book establishes the basis for all of the courses mentioned above and ensures that students understand the fundamental ideas. Students have easy access to a wide range of queries and answers. One may quickly connect to the subject and flow with the notions.
Lakhmir Singh Solutions by the Aakash Institute for Class 8, 9 and 10, Physics, Chemistry, and Biology, imprints all the fundamental principles on a student's memory. The subject's themes are addressed more simplified, focusing on today's inventions and technology. The pupils are given several examples that relate to their real-life applications. Many numerical and graphical representations of the teachings are explained. The concepts are diagrammatically described, and the formula derivations are highlights of this textbook. The learner becomes interested in the subject and gains confidence in writing responses on their terms. Students will have simple access to all types of questions that will appear in their next board exams. After each chapter, the formulae and related physical rules are tabulated for simple summarisation. The solutions provided by the Aakash Institute makes sure that the students are in sync with the subject matter and have no problems in applying the concepts learned.
Class 8 sets the base for learning all the fundamental concepts of science. This is the final class where you study all three branches of science together. The chapters focus on teaching the students the basics, which will help them excel in their studies in leading grades. Lakhmir Singh Solutions for class 8 Science contains chapter-by-chapter answers in PDF format to assist students with their test preparation.
Class 9 Science diverges into 3 branches, that are, Physics, Chemistry, and Biology. Students need to learn all these streams collectively. From standard 9, the pupils start to learn the subject seriously to score good marks. The science in class 9 covers motion, atoms, molecules, cells and tissues, etc. The Lakhmir Singh Class 9 Solutions are listed below per topic. These Solutions assist students in understanding and gaining a thorough understanding of each chapter taught in the various areas of science in class 9.
The class where the students appear for the board examination for the first time is class 10. Tension remains in the air as the student passes each day in class 10. Understanding concepts and solving many questions is a necessity for gaining excellent marks in the board examination. Topics like Electricity, reflection and refraction of light, carbon and its compounds, reproduction, and so on are clarified in this grade. Lakhmir Singh Solutions for class 10 is the perfect book for preparing for the board exam as it contains a chapter-wise solution for short questions, long questions, and numerical in a straightforward language.
Lakhmir Singh Solutions for class 8 Science is the ideal book to find the answers and solutions to all the student's fundamental queries. Experts devise all the solutions in a student-friendly manner.
The list of chapters covered in Lakhmir Singh Solutions for class 8 are as follows:
To understand the concept behind each physics issue, it is necessary to solve a significant number of questions and practice. Physics is made up of some numerical and theoretical problems that must be solved. The Lakhmir Singh Solutions for Class 9 Physics are provided to aid in learning the actual approach of solving the issues. The chapters include:
Chemistry is a set of numerical, theoretical, and formulae that must be taught and practised to better grasp the ideas. Lakhmir Singh Solutions for Class 9th Chemistry assists students in answering problems correctly. The solutions also provide a summary for quick review.
The following chapters are covered in the Lakhmir Singh Solutions for Class 10 Chemistry:
Biology is the branch of science that must be memorised. The chapters are more theoretical than numerical, with a plethora of diagrams and illustrations. The Lakhmir Singh Solutions for Class 10 Biology give well-labelled illustrations with explanations in a general public language. The questions are answered point by point, with accurate information and up-to-date responses.
Lakhmir Singh Solutions for Class 10 Biology comprise the following chapters:
Class 10th Physics is made up of several numerical issues and theoretical questions that must be solved and many definitions to be learnt. It is important to solve many problems and practice to comprehend the principle underlying each physics topic. To assist in understanding the true technique of answering the questions, the Lakhmir Singh Solutions for Class 10 Physics are provided for the chapters below:
Chemistry consists of a mixture of numerical, theory, and lots of definitions. These need to be learned and practised to better understand the concepts. Lakhmir Singh Solutions for class 10 Chemistry helps the students to solve the questions. The solutions also have a synopsis for easy review.
The list of chapters included in the Lakhmir Singh Solutions for class 10 Chemistry are mentioned below:
Biology is the stream of science that has to be understood and learnt by the heart. The chapters are primarily based on theory, with an abundance of diagrams and figures. The Lakhmir Singh Solutions for class 10 Biology provides well-labelled diagrams with explanations in a language understandable for the general public. The questions are solved pointwise, covering precise information and up-to-mark answers.
The list of chapters included in Lakhmir Singh Solutions for class 10 Biology are:
Concepts of Physics Volume 1 and 2 is one of the most recognisable books and can be found in the collection of every science student. The book is so common that almost all the engineers, doctors or engineering and medical aspirants have solved the questions given in these books. The book has been written by a famous professor and academician, Dr HC Verma (IIT-Kanpur, retired). The book contains the consolidated experience and knowledge of a world-renowned scholar. It is the original and the best avenue to learn the concepts of physics.
Since the Concepts of Physics by HC Verma is so essential for learning fundamental and advanced physics, it becomes imperative that the students practise each and every question that has been given in the book. The only issue that arises is that the practice questions given after the chapters range from very basic to highly complex questions, which help in concept building, and almost all students get stuck at these questions. To rectify this issue and help the students in their journey to gain proficiency in physics, the Aakash Institute provides HC Verma solutions for volume 1 and 2. The solutions have been prepared by the experienced faculty members of foundation and entrance exam preparation courses. The solutions are laid out in a step-by-step fashion, which helps the students understand the solutions without any help, and these solutions also help students understand a better method in questions they were able to solve by themselves.
The first volume of the HC Verma focuses on classical mechanics, and the chapters discussed in this book are based on the section known as Newtonian Physics. These chapters are from the basics of Mechanical Engineering, Civil Engineering and various other fields. The common chapters discussed include Kinematics, rotational mechanics, NLM, Energy and Work. These chapters are heavily numerical based, and the questions in these chapters have a long working procedure. The complex nature of the chapters and the lengthy solving procedures make mistakes more common, and these chapters hold much importance in the examination context, be it entrance exams or the school exams. HC Verma Solutions of Volume 1 makes this part easy for the students by providing well explained yet short solutions, which reduces the solving time and strengthens the students' concepts.
The Chapters that are included in the HC Verma solutions of Volume 1 include the following:
Chapter 1: Introduction to Physics
Chapter 2: Physics and Mathematics
Chapter 3: rest and movement: kinematics
Chapter 4: Forces
Chapter 5: Newton's Laws of Motion
Chapter 6: Friction
Chapter 7: Circular motion
Chapter 8: Work and Energy
Chapter 9: Center of mass, momentum, collision
Chapter 10: Rotational Mechanics
Chapter 11: Gravitation
Chapter 12: Simple harmonic motion
Chapter 13: Fluid Mechanics
Chapter 14: Some mechanical properties of matter
Chapter 15: Wave motion and waves in a string
Chapter 16: Sound waves
Chapter 17: Lightwaves
Chapter 18: Geometric optics
Chapter 19: Optical Instruments
Chapter 20: Scattering and Spectra
Chapter 21: Speed of light
Chapter 22: Photometry
HC Verma Volume 2 has chapters that have a much more applicative nature, and these chapters form the basis of the technologies currently in use. These chapters are a mixture of highly numerical chapters to chapters that are entirely conceptual in nature. Volume 2 has topics such as electromechanics, capacitance, current electricity, magnetism, chapters in modern physics, optics and special relativity. The chapters, as mentioned earlier, are crucial to understanding the technologies used in daily life, which makes these chapters essential to understand as students will be faced with these very concepts in higher grades to understand those much more complex concepts. The HC Verma Solutions for Volume 2 help the students with the theoretical, conceptual and numerical problems to provide all-round assistance and increase the physics knowledge of every upcoming batch.
The Aakash HC Verma Solutions for volume 2 contains the solutions of the following chapters:
Chapter 23 - Heat and Temperature
Chapter 24 - Kinetic Theory of Gases
Chapter 25 - Calorimetry
Chapter 26 - Laws of Thermodynamics
Chapter 27 - Specific heat capacities of gases
Chapter 28 - Heat Transfer
Chapter 29 - Electric Field and Potential
Chapter 30 - Gauss's Law
Chapter 31 - Capacitors
Chapter 32 - Electric current in conductors
Chapter 33 - Thermal and Chemical Effects of Electric Current
Chapter 34 - Magnetic Field
Chapter 35 - Magnetic Field Due to Current
Chapter 36 - Permanent Magnets
Chapter 37 - Magnetic Properties of Matter
Chapter 38 - Electromagnetic Induction
Chapter 39 - Alternating Current
Chapter 40 - Electromagnetic Waves
Chapter 41 - Electric Current Through Gases
Chapter 42 - Photoelectric Effect and Duality of Wave Particles
Chapter 43 - Bohr's Model and the Physics of the Atom
Chapter 44 - Radiographs
Chapter 45 - Semiconductors and Semiconductor Devices
Chapter 46 - The Core
Chapter 47 - The Special Theory of Relativity
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