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JEE-MAIN Questions to be challenged April 8 - Shift 1

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The Solid State for Higher Secondary School Chemistry

Solid states are the fundamental states of matter. They are used more often than liquids or gases in the surrounding. Solid states have been widely used in the industry, research, productions and by manufacturers. We need solid in different applications with different properties. Hence there is a need to understand the structure of solids. This is a very important chapter in chemistry  for 12th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides NCERT Solutions  for Class 12 Chemistry . The correlation between the structure and properties can discover other solid states with desired properties. The solid state should have properties like high temperature, magnetic materials, biodegradable polymers etc. 

The general characteristics of solid state are as follows:

Definite mass, shape and volume

Short intermolecular distances

Strong intermolecular force

Constituent particles have fixed position and can oscillate about their mean positions

Rigid

Incompressible 

Solids can be classified as amorphous and crystalline solids.

Crystalline solids: The solids have more number of small crystals each having a definite geometric shape. For example, Sodium chloride and quartz

Amorphous solids: The solids consist of particles with  irregular shapes. For example, quartz glass. The difference between Crystalline and Amorphous solids are:

Crystalline solids

Shape: Definite geometric shape

Melting point: Melt at sharp and characteristic temperature

Cleavage property: When cut with a sharp edge tool, split into two equal parts with plain and smooth surfaces 

Heat of fusion: Have 

Anisotropy: Anisotropy in nature

Order of arrangement of particles: Long range order

Amorphous solids

Shape: Irregular shape

Melting point: Softens gradually over range of temperature.

Cleavage property: When cut with a sharp edge tool, split into two with irregular surfaces.

Heat of fusion: Does not have 

Anisotropy: Isotropic in nature

Order of arrangement of particles: Short range order.

Classification of crystalline solids

Crystalline solids are classified based on the nature of intermolecular forces. They are as follows:

Molecular solids: molecules are the particles of molecular solids. They are further divided  into 

Non polar molecular solids, for example, Ar, CCl4,

Polar molecular solids, for example, HCl, SO2

Hydrogen bonded molecular solids, for example,  H2O (ice)

Ionic solids: ions are the particles of ionic solids. Solids are formed by cation and anion bound by electrostatic forces. For example, NaCl, MgO

Metallic solids: metals are the particles of metallic solids. They are positive ions surrounded by free electrons. These are mobile and widely spread throughout the solids. For example, Fe, Cu

Covalent or network solids: covalent bonds are present in the solids that are strong and directional in nature. Hence they are held strongly in their position making them hard and brittle. For example, quartz and diamond. 

Crystal lattice and unit cells

When  three dimensional arrangements of particles in a crystal in which each particle is depicted as a point is known as crystal lattice. Whereas unit cells are the smallest portion of crystal lattice that gets repeated in different directions to form entire lattice. Unit cells are broadly classified into primitive and centered unit cells. 

Number of atoms in unit cell

Crystal lattice is made of a large number of unit cells and every lattice is occupied by one constituent particle. They are further classified into primitive cubic unit cells, body centered cubic unit cell and face centered cubic unit cell.

Close packed structures

The solids consist of particles that are closely packed. There are three steps to build a three dimensional structure. 

Close packing in one direction: the particles are arranged in row and touching each other. 

Close packing in two dimension: the particles are arranged in stacking the rows of close packed spheres

Close packing in three dimensions:  the particles are arranged by stacking two dimensional layers one above the other. 

Magnetic properties

All the substances have magnetic properties. Each electron acts as a magnet. On the basis of their magnetic properties, they are classified as paramagnetic, diamagnetic, ferromagnetic, antiferromagnetic and ferrimagnetic.

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Biodiversity and Conservation for Higher Secondary School Biology

Earth is a beautiful place for living things. It has a variety of life on earth termed as Biodiversity. It consists of flora, fauna, tropical forests cover, rivers etc. Biodiversity conservation is very important for human life. All living things are dependent on biodiversity for their survival. Plants, animals, insects, humans are entirely dependent on biodiversity. It provides food, shelter, clothes, medicines, and infrastructure for livelihood. It is a crucial topic to be understood and discussed for many decades. This is a very important chapter in biology  for 12th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides NCERT Solutions for Class 12 Biology. Rapid environmental changes are causing mass extinctions of species on earth. Biodiversity is not evenly distributed. It varies from region to region. Some areas might have abundant resources and some might be less. 

Biodiversity 

The diversity of living things depends on temperature, altitude, soil, geography etc. Biodiversity hotspot is a region where there is a high level of endemic species that has become vulnerable to extinction. There are three types of diversity 

Genetic diversity:  A single species shows high diversity at the genetic level over its distributional range.

Species diversity: a species shows diversity at species level. 

Ecological diversity: At the ecosystem level, it has deserts, rain forests, mangroves, coral reefs, wetlands, estuaries, and alpine meadows. 

Pattern of biodiversity 

Latitudinal gradients: The plants and animals are not uniform throughout but have uneven distribution. The species diversity generally decreases as they move towards the pole than equator. 

Species area relationships: The species richness increases when the area increases. 

Loss of biodiversity

The biological wealth of our planet is rapidly declining due to several factors. The loss of biodiversity may lead to decline in plant production, increase in soil erosion, global warming etc. 

The various factors associated  for the loss of biodiversity are 

Habitat loss and fragmentation

Over exploitation 

Alien species invasion

Co extinction 

Energy production and mining

Urbanization 

Cattle grazing

Climate change

Biodiversity Conservation 

There is a need for conservation of biodiversity for the present and future generations. Humans derive a lot of economic benefits from nature with respect to food,  firewood, fibre, construction material, industrial products and medicinal products. Biodiversity can be conserved by  establishing in-situ and ex-situ conservation. Government has taken many initiatives in conserving biodiversity. National parks and reserves are established by the government to protect the forest reserves from damage caused due to degradation. There is strict prohibition on hunting and illegal trading. Protected areas are set up all over the world to protect the wild animals in their habitat and also forest reserves. 

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Nutrition in Animals for High School Science

Animals do not have a tendency to prepare their own food like plants. The plants prepare their own food by the process called as photosynthesis. Whereas animals usually eat plants directly or other animals that eat plants. All animals require nutrition for proper growth and functioning of a body. Animal nutrition includes nutrient requirement, mode of intake of food and its utilization in the body. Nutrition plays a vital role in the development of individuals. So it is important to take the right amount of intake of food.This is a very important chapter in science for 7th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides  NCERT Solutions for Class 7 Science.  The complex substances are broken into simpler substances and the breakdown of these substances are known as digestion.  There are different ways of digesting food. For example, bees suck nectar of the plant, humans feed from mothers milk, snakes swallow their prey etc. 

There are different types of nutritions in animals such as macronutrients and micronutrients 

Macronutrients: are the nutrients that are required in large quantities in the body. For example carbohydrates, proteins, fats, water etc

Micronutrients: are the nutrients that are required in small quantities in the body. For example, minerals and vitamins. 

Digestion in Humans 

Humans intake food through their mouth and digest. There is a series of processes in the stomach that helps in digestion of food. The food particle  passes through the buccal cavity and releases the unused  particles through anus. The digestive parts include buccal cavity, oesophagus, stomach, small intestine, large intestine, rectum and anus. The food passing through the oesophagus are also associated with glands such as salivary gland. The liver and pancreas secrete juices that help to convert complex particles into simpler ones. Then the simpler particles are easily digested in the body and provide proper nutrition. 

There are few terms to know about the process of digestion are: 

Ingestion:  the process of taking food through the mouth is called ingestion. 

Oesophagus:  the swallowed food passes through the food pipe into the stomach

Stomach: it is the widest part of the digestive system. The inner lining of the stomach consists of secretive mucous, HCl and digestive juices. These juices break down the food particles into simpler ones. 

Small intestine: it is highly coiled and 7.5 meters long. It receives secretion from liver and pancreas. The juices help in digestion of carbohydrates into  simple sugars such as glucose, fats and proteins. 

Large intestine: it helps in absorption of water and salt from the undigested food. The remaining food materials pass through rectum and are followed by removal of faecal matter through anus. This process is called egestion. 

Digestion in Animals

Animals intake food through their mouths like humans. Let's discuss the digestive system of grass eating animals. Generally cows and buffaloes store the grass in their stomach called rumen. The partially digested food returns to the mouth in small lumps where the animals chew it slowly. This process is called rumination and the animals are referred to as ruminants. The grass is rich in cellulose and these are digested by the bacteria present in rumen. 

Digestion in Amoeba

Amoeba is a single celled microorganism. It consists of cell membrane, nucleus and vacuoles. It has a finger like projections known as pseudopodia that helps in capture food. The amoeba captures the microscopic organisms by pushing pseudopodia around the food particle and engulfs it.  

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Ray Optics and Optical Instruments for Higher Secondary School Physics

Nature has bestowed us with vision to see the beautiful world. Human eye can detect electromagnetic waves within a small range of the electromagnetic spectrum. Electromagnetic radiation belonging to this region is called light. We are able to see and analyse things around us due to light and a sense of vision. The light travels very fast in seconds. It can travel from one point to another along a straight line. This path is called a ray of light. This is a very important chapter in physics for 12th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides NCERT Solutions for Class 12 Physics. Reflection and refraction are true for all surfaces. The detail information is mentioned below:

Reflection  

The laws of reflection states that the angle of reflection is equal to the angle of incidence. The incident ray, reflected ray and normal to the reflecting surface at the point of incidence lie in the same plane. The geometric center of the spherical mirror is called its pole while spherical lens is called its optical center. The line joining the pole and center of the spherical mirror is known as principal axis. 

Refraction 

The direction of incident ray of light that enters the other medium changes at the interface of two media. This phenomena is called the refraction of light. 

The incident ray, refracted ray and normal to the interface at the point of incidence all lie in the same plane. 

The ratio of angle of incidence to the angle of refraction is constant. 

Demonstration of total internal reflection 

All optical phenomena can be demonstrated at home with a simple technique by using laser torch Take a glass beaker with clear water. Stir the water with a piece of soap a few times, so that it turns a little turbid. Take a laser torch and shine its beam through the turbid water.  You can  observe that the path of the beam inside the water shines brightly. Also shine the beam below the beaker so that it strikes at the upper surface. Here you can see a partial refraction and reflection. 

Natural phenomena due to sunlight 

The colour that we see around is possible only because of sunlight. For example, blue sky, green landscape, rainbow etc. Let's discuss this with an example, a rainbow is formed due to dispersion of sunlight by the water drops in the atmosphere. This happens due to the combined effect of dispersion, refraction and reflection of sunlight. This is usually observed during the rainy day. 

Scattering of light 

When the sunlight travels through the earth's atmosphere. It is scattered by the atmospheric particles. The shorter wavelength of light is scattered more compared to longer wavelengths. For example, Sky. The sky is blue as it has shorter wavelength scattered more than the other colour red that has longer wavelength. 

Optical Instruments 

Eye

The most important optical device nature has bestowed is the eye.They are organs for the visual system. They provide vision to animals and humans. They detect light and convert to electrochemical impulses in neurons.They have rods and cons that have a sense of light and colour.  The interior parts of the eye include cornea, iris and retina. Light enters through the cornea through  curved surface then passes through the pupil, a center hole in the iris. The light is focused by retina. The retina contains rods and cones that can sense the light intensity and colour. And finally transmit electrical signals via optic nerve to the brain. 

Microscope 

It is a converging lens of small focal length. They are used to see micro objects such as cells, tissues of plants, animals and humans. In this the lens is placed near the object, and the eyepiece is positioned close to the lens on the other side. This gives a clear image of the object at a distance. There are two types of microscopes such as:

Simple microscopes: it consists of limited magnification 

Compound microscope: it consists of two lenses objective and eyepiece for larger magnification. 

Telescope 

It is used to provide angular magnification of far away objects. This instrument consists of objective and eyepiece. The objective has a large focal length. The light from the distant object enters the objective where the real image is formed in the second focal point. The eyepiece magnifies the final image. Telescopes are generally used to see distant objects such as stars and the moon, specifically by researchers in the field of astronomy. 

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NCERT solutions for class 6 Maths

We hope that CBSE NCERT solutions will be useful to you for academic excellence. For more information visit  embibe.com .

NCERT Solutions for class 6 Maths: It offers an easy learning platform to study well and  excel in exams. Maths for class 6 plays an important role in strengthening the fundamentals of the subject. This is the right age where students can get the concepts clear and practice the tools for future studies. Students have difficulty in practicing mathematics problems due to lack of practice tools. Therefore, NCERT solutions have been designed for the students to practice and learn for the exam.You can download the NCERT solutions from this article for your practice.

Syllabus for class 6 Maths 

NCERT Class 6 Maths has been brought out with solutions for the students to solve mathematical problems. Sometimes students find it complicated in understanding the concepts. However, NCERT solutions can help them in understanding basic concepts. There are 13 chapters mentioned in the syllabus. For every chapter, solutions are designed as per CBSE guidelines. Students need to do a lot of practice in Maths as it doesn’t come only by reading. Therefore, every question is explained with easy examples. 

The solutions are derived from the prescribed Maths NCERT textbooks and are developed by experts in Maths. The list of chapters in the Maths textbook are as follows:

Chapter 1- Knowing Our Numbers

Chapter 2- Whole Numbers

Chapter 3- Playing with Numbers

Chapter 4- Basic Geometrical Ideas

Chapter 5- Understanding Elementary Shapes

Chapter 6- Integers

Chapter 7- Fractions

Chapter 8- Decimals

Chapter 9- Data Handling

Chapter 10- Mensuration

Chapter 11- Algebra

Chapter 12- Ratio and Proportion

Chapter 13- Symmetry

Chapter 14- Practical Geometry

The syllabus is conceptualized to build a strong base in mathematics through the chapters. It is designed by expert faculty paying attention to each and every concept. There are basic concepts from geometry, algebra, statistics etc. intending to provide a strong foundation at an early age. Students are required to learn all the chapters mentioned in the syllabus to secure good marks in their class 6 final exam. 

Download the NCERT syllabus for class 6 Maths 

https://www.embibe.com/exams/cbse-syllabus-for-class-6-mathematics/

For all the chapters, you can download NCERT solutions for class 6 Maths to practice and revise for the final  exams. The NCERT solutions can bring a change in thinking among the students for solving and practicing maths. In this article, you can find the link to the solutions. Just click on the chapter links to get access to the solutions. Also, NCERT allows students to download Chapter-wise solutions instead of the whole syllabus. NCERT solutions for class 6 maths are very easy to understand and practice. NCERT solutions are highly recommended by teachers for doing better in exams. 

https://www.embibe.com/exams/cbse-ncert-solutions-for-class-6-maths/

Importance of NCERT solutions 

It helps to understand solutions to complicated problems 

Solving problems makes mathematical problems easy and interesting 

Builds confidence in the students

Solutions are available for all the chapters. 

We hope that CBSE NCERT solutions will be useful to you for academic excellence. For more information visit  embibe.com .

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NCERT solutions for class 7 science

We hope that CBSE NCERT solutions will be useful to you for academic excellence. For more information visit  embibe.com .

NCERT Solutions for class 7 science: The National Council of Educational Research and Training (NCERT) is an autonomous organisation founded in 1961 by the Government of India. It aims to advise and assist in government policies in improving the quality of education in India. ‘NCERT solutions for class 7 science’ offers an easy learning platform for you to excel in exams. It has brought out solutions for the questions thought in the classroom. You can download the NCERT solutions and practice for the exams for free with the help of this article. 

Syllabus for class 7 Science 

NCERT aims to promote and undertake school education, publish textbooks, journals, educational kits etc and also to organize teachers’ training programs. Therefore, NCERT Class 7 science has brought out solutions for 18 chapters included in the textbook. NCERT books are extraordinary and reliable in the field of education. All the solutions are derived from CBSE prescribed science textbooks. The list of chapters in the science textbook are as follows: 

Chapter 1: Nutrition in Plants

Chapter 2: Nutrition in Animals

Chapter 3: Fibre to Fabric

Chapter 4: Heat

Chapter 5: Acids, Bases, and Salts

Chapter 6: Physical and Chemical Changes

Chapter 7: Weather, Climate, and Adaptations of Animals to Climate

Chapter 8: Winds, Storms, and Cyclones

Chapter 9: Soil

Chapter 10: Respiration in Organisms

Chapter 11: Transportation in Animals and Plants

Chapter 12: Reproduction in Plants

Chapter 13: Motion and Time

Chapter 14: Electric Current and its Effects

Chapter 15: Light

Chapter 16: Water: A Precious Resource

Chapter 17: Forests: Our Lifeline

Chapter 18: Wastewater Story

Science is a subject that interests many students, especially those who aspire to take up a career in science. They develop their mindset on innovations and research. Therefore, you can download the detailed NCERT syllabus of Class 7 Science in this article.

https://www.embibe.com/exams/cbse-syllabus-for-class-7-science/

For these chapters you can download NCERT solutions for class 7 science to practice and revise for the academic exams. You can learn various topics starting from the first chapter on ‘Nutrition in plants’ to the last ‘Wastewater Story’. The solutions will help you to secure good marks in your exams. In this article, you will find the links  to download the solutions; click on the chapters to get access to the solutions. Also, NCERT allows students to download Chapter-wise solutions instead of the whole chapter. All the questions are solved step by step for better understanding of the concept. Students can visit the link mentioned below for free pdf NCERT solutions of Class 7 Science. 

https://www.embibe.com/exams/cbse-ncert-solutions-for-class-7-science/

Importance of NCERT solutions 

Solutions are error free

Build confidence in the student for better performance in the exam 

Helpful in preparing for competitive exams like JEE main, NEET, CSIR UGC NET etc. 

Provides solutions for difficult and analytical questions 

Revision becomes easy during the last minute preparation for exams 

All the topics are covered 

Language is easy to understand 

We hope that CBSE NCERT solutions will be useful to you for academic excellence. For more information visit  embibe.com .

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NCERT Solutions for Class 12 Biology

The Central Board of Secondary Education (CBSE) conducts Board Examination for Biology. CBSE provides Biology as an elective for the Science Students. The students who aspire to get admission in the Medical Colleges or related field generally opt for the Biology Subject. Biology holds equal importance as other subjects who opt for this subject. Some students tend to take this subject lightly and pay more attention to Physics, Chemistry and Mathematics. If you have opted for this subject, it is equally important to score good marks in Biology as it is important for the other subjects.

 Read the following article to know about the Chapters for Class 12 Biology. You will be able to view and  download the Free Solutions for Class 12 Biology. Also follow the Preparation Tips for better preparation and to complete the syllabus in less time. 

 CLICK HERE FOR NCERT SOLUTIONS FOR CLASS 12

Class 12 Biology Chapters

Chapter 1: Reproduction in Organisms

Chapter 2: Sexual Reproduction in Flowering Plants

Chapter 3: Human Reproduction

Chapter 4: Reproductive Health

Chapter 5: Principles of Inheritance and Variation

Chapter 6: Molecular Basis of Inheritance

Chapter 7: Evolution

Chapter 8: Human Health and Disease

Chapter 9: Strategies for Enhancement in Food Production

Chapter 10: Microbes in Human Welfare 

Chapter 11: Biotechnology: Principles and Processes

Chapter 12: Biotechnology and its Applications

Chapter 13: Organisms and Populations

Chapter 14: Ecosystem

Chapter 15: Biodiversity and Conservation

Chapter 16: Environmental Issues

CLICK HERE FOR FREE CLASS 12 BIOLOGY SOLUTIONS 

Class 12 Biology Preparation Tips

Rote learning without understanding will not lead to long term results. The students should focus on understanding the concept. You should follow the preparation tips given below which will help you in systematic study leading to completion of the syllabus in lesser time. 

You should start with the topics that have more weightage. Click Here to know the marks distribution for each unit.

Always start preparation with the NCERT book. It is the base for your study. 

Do not focus on rote learning. Read and understand the topics thoroughly.

Practise the questions given after each topic simultaneously. 

Once you have completed the syllabus, you should solve the CBSE sample papers in the stipulated time.

The students should also practise the previous year papers and the practise questions from other sources like internet or reference books as well.

While solving the sample papers, make sure that you complete the test in the designated time. This will help you to complete the board exam within the allotted time limit. 

Practise as many sample papers as you can. It also helps in concept clarity and develops confidence for the subject.

Practise diagrams on a seperate notebook and label them properly. Many times only diagrams are asked as questions. Drawing neat well labelled diagrams will help you attain good marks.  

You should study regularly and do not skip days of studying. 

Make proper notes in a separate notebook or mark/ highlight important points in your textbook. This will help you in revision.

Now that we have provided you with the complete syllabus, direct link to download the NCERT Solutions for Class 12 Biology. We hope that you will not have any difficulty finding the correct answers when you will study the chapters. Do not forget to follow the Best Preparation Tips for Class 12 Biology to study in a systematic manner and complete the syllabus in advance so that you have enough time left for the revision as well.

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NCERT Solutions for Class 12 Chemistry

The Central Board of Secondary Education (CBSE) conducts Board Exams for Class 12 Chemistry. Chemistry is one of the major subjects of Class 12. The students need to put in efforts to score good marks in Class 12 Chemistry Board Exams. The Chemistry consists of Physical Organic and Inorganic Chemistry. Part-1 of the NCERT is dedicated to Physical and Inorganic Chemistry while Part -2 is dedicated to Organic Chemistry.

The following article will provide you with the complete syllabus for Class 12 Chemistry. You will also find the Direct Link to View and Download NCERT Solutions for Class 12 Chemistry for Free. Read the complete page to further know about the Best Preparation Tips for Class 12 Chemistry.

CLICK HERE FOR NCERT SOLUTIONS FOR CLASS 12

Class 12 Chemistry Chapters

Part-1

Chapter 1: The Solid State

Chapter 2: Solutions

Chapter 3: Electrochemistry

Chapter 4: Chemical Kinetics

Chapter 5: Surface Chemistry

Chapter 6: General Principles and Processes of Isolation of Elements

Chapter 7: The p-Block Elements

Chapter 8: The d- and f-Block Elements

Chapter 9: Coordination Compounds

Part-2

Chapter 10: Haloalkanes and Haloarenes

Chapter 11: Alcohols, Phenols and Ethers

Chapter 12: Aldehydes, Ketones and Carboxylic Acids

Chapter 13: Amines

Chapter 14: Biomolecules

Chapter 15: Polymers

Chapter 16: Chemistry in Everyday Life

CLICK HERE FOR FREE CLASS 12 CHEMISTRY SOLUTIONS 

Class 12 Chemistry Preparation Tips

The students should follow a preparation pattern in order to have a systematic study. This way of studying will help you to complete the entire syllabus in less time. You should follow the preparation tips given below for achieving good grades in the examination.

The Board Examination strictly follows the NCERT pattern. Start your study with the Class 12 Chemistry NCERT book. This is the basic book you should follow for your studies.

You can check the Detailed Chemistry Syllabus and Weightage for different units by clicking here. 

Start your preparation with the units carrying the highest weightage.

You should solve the questions associated with each topic simultaneously. 

After the completion of the chapter, solve the questions given at the back of each chapter in a separate notebook.

The Students should perform experiments in the school laboratory to see the result of the experiments. This will help you to get further clarity of the concepts read in your theory class.

Do not forget to practice the Numerical Problems. Many times basic numericas are asked in the exam along with the theory question. 

Make proper notes or underline/ highlight the important points. It will help you in the revision.

You should not be in a hurry to finish the chapters. Go through the concepts and understand the scientific notations. 

Also get into the habit of using the SI units wherever required.

Once you complete the syllabus from NCERT book, you should solve the CBSE Sample Papers keeping track of the time required for the examination. 

The Students should also practice the Previous Year Papers and then refer to the other practice books. Practising questions from different sources will help you in understanding the topics well.

Study and Practice daily. Maintain a separate notebook for practicing Chemistry problems. It will help you to keep track of your performance. 

It is very important for the students to clear all the concepts of Chemistry as it will be very useful in preparation for several Engineering and Medical Entrance Exam. 

Now that we have provided you with the complete details about the NCERT Solutions for Class 12 Chemistry, we hope that you will not face any difficulty while studying. The students should also follow the Preparation Tips in order to study in an effective manner.  

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NCERT solutions for class 12 Maths

NCERT Solutions for class 12 Maths: Students are preparing for the board exam in class 12. This year is considered as the year of career where there is huge opportunity lined up based on their performance. Class 12 maths are crucial during the preparation of board exam. Therefore, NCERT solutions for class 12 is prepared for the student to practice any difficult questions. Syllabus for maths is shared in this article along with the solutions. NCERT solutions are even useful for preparation of competitive engineering exams. CBSE NCERT solutions help students in securing good CGPA.  You can download the NCERT solutions and practice for the exams. 

Syllabus for class 12 Maths 

NCERT solutions are designed based on the chapters in the textbook. Step-wise solutions are provided for all the questions. Students find no difficulty in solving the mathematical problems. 

You can check embibe for NCERT chapter wise description. The list of chapters in the Maths textbook are as follows:

Chapter 1 – Relations and Functions NCERT Solutions

Chapter 2 – Inverse Trigonometric Functions NCERT Solutions

Chapter 3 – Matrices NCERT Solutions

Chapter 4 – Determinants NCERT Solutions

 Chapter 5 – Continuity and Differentiability NCERT Solutions

 Chapter 6 – Application of Derivatives NCERT Solutions

 Chapter 7 – Integrals NCERT Solutions

Chapter 8 – Application of Integrals NCERT Solutions

 Chapter 9 – Differential Equations NCERT Solutions

Chapter 10 – Vector Algebra NCERT Solutions

Chapter 11 – Three Dimensional Geometry NCERT Solutions

Chapter 12 – Linear Programming NCERT Solutions

Chapter 13 – Probability NCERT Solution

In this article, there are detailed chapters available for the students. These chapters are not only important for academic performance but also for competitive exams such as JEE Mains, JEE Advance respectively. The CBSE class 12 exam is conducted for 80 marks including 20 marks for the internals. 

 Download NCERT syllabus for Class 12 Maths https://www.embibe.com/exams/cbse-class-12-syllabus-for-maths/

For these chapters you can download NCERT solutions for class 12 Maths  to practice and revise for the academic exams. The NCERT solutions can bring a change in thinking among the students for solving and practicing maths. . In this article you can download the solutions and click on chapters to get access to the solutions. Also NCERT allows students to download Chapter wise solutions instead of the whole chapter. NCERT solutions for class 6 maths are 

https://www.embibe.com/exams/cbse-ncert-solutions-for-class-12-maths/

Importance of NCERT solutions 

Helps to understand basic concept of the subject

Develops interest in practicing problems  

Helpful to prepare competitive exams

Provide tricks and methods to prepare for exam 

We hope that CBSE NCERT solutions will be useful for your  academic excellence. For more information on NCERT Solutions for class 12, visit  embibe.com . 

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Embibe brings the power of information to help students prepare better for life-changing exams like JEE Main, JEE Advanced, BITSAT and CET.