Category: Guide

A trapezium is a two-dimensional geometrical figure which consists of one pair of sides that are parallel to each other. We can see various real-life examples of the shape of a trapezium, some of which are buckets, suitcases, popcorn boxes, etc. The word ‘trapezium’ has its origin from the word ‘trapeze’, a Greek word, the meaning of which is the table. This two-dimensional geometrical figure can be classified as a quadrilateral whose opposite parallel sides are known as the bases of the trapezium and the other two remaining sides are known as the legs of the trapezium. In this article, we will discuss the area of a trapezium, various types of the trapezium, and also discuss some of the important properties related to the quadrilateral along with solving some examples.

Area of a Trapezium

The total area that is occupied by a trapezium is known as the area of a trapezium. Calculation of the area of a trapezium is very easy. We can calculate it by obtaining the average of the two bases of the trapezium and then multiplying it with its altitude. To put it in a mathematical manner, we can say that the area of a trapezium is: A = h (x+y) / 2 square units where x and y are the bases of the trapezium and h is the altitude or the height of the trapezium.

Various Types of Trapeziums

We can classify trapezium into three broad categories which are discussed as follows:

• Right Trapezium: A trapezium is known as a right trapezium when two of its sides have angles equal to 90 degrees that are adjacent to each other. 
• Isosceles Trapezium: A trapezium is known as an isosceles trapezium when its two legs are of equal length i.e., one leg of the trapezium is equal to the other leg of the trapezium.
• Scalene Trapezium: A trapezium is known as a scalene trapezium when neither its sides nor its angles are equivalent to each other.

Various Properties of Trapezium

Each and every geometrical figure has its own set of properties that are unique which helps in the differentiation of the geometrical figure from the rest. The properties help us in understanding the given geometrical figure more vividly. The various properties of a trapezium are as follows:

• It is a two-dimensional geometrical figure.
• The two sides of the trapezium that are parallel to each other are known as the bases of the trapezium.
• Both the diagonals of the trapezium are of equivalent length.
• Trapeziums have diagonals that always intersect each other. 
• In a trapezium, all the interior angles sum up to 360 degrees always. This property is common in all the different types of quadrilaterals.

Some Solved Examples of Trapezium

Example 1: Find out the area of a trapezium if its height is 6 units and its bases are 16 units and 14 units respectively.

Solution: The area of a trapezium can be given as A = h (x+y) / 2 square units.

Here, x = 16 units, y = 14 units, and h = 6 units. 

Thus, area of the given trapezium =  h (x+y) / 2 = 6 (16 + 14) / 2= 6 * 15 = 90 square units.

Example 2: One of the angles of a right trapezium is 80 degrees. Find out the fourth angle of the right trapezium.

Solution: We know that a right angle trapezium has two angles as 90 degrees. 

We also know that the sum of all the interior angles of the right trapezium is 360 degrees.

Now, we can conclude that, 90 degrees + 90 degrees + 80 degrees + 4th angle = 360 degree.

Now, the fourth angle of the right trapezium is = 360 degrees – 260 degrees = 100 degrees. 

If you want to learn more about the concepts of trapezium from the best teachers of the subject and in an interesting way, visit Cuemath. 

Physics is a vital subject for both board tests and different competitive exams. Getting a good score in Physics alongside different subjects can nearly promise you a higher percentage in the board tests just as great position in various cutthroat selection tests. Students who are more vulnerable in Mathematics frequently discover Physics troublesome as well. A few years back, CBSE changed the syllabus of question papers a little to test the fundamental ideas of students. Thus, your fundamental ideas ought to be clear to get great marks in it. 

How To Score More Than 90 On Physics On Your Own.

Books to refer

NCERT is the most significant book for the board exams, yet in addition to the different cutthroat tests like JEE (Mains and Advanced), NEET, AIIMS, and so on Numerous understudies discover Physics hard to concentrate through NCERT. In that situation, you should take the help of references or side-books. Be that as it may, consistently concentrate on just those points, which are in NCERT. Reading Additional stuff will just increase your understanding of the topic. HC Verma Solutions Chapter 3 and more are considered valuable and reliable to study. 

Start enjoying the subject

Numerous students who are not very great in Mathematics believe that it is their predetermined goal to be more vulnerable in Physics as well. This negative reasoning ought to be kept away from as it becomes the greatest obstacle in their way of achievement. Except if you don’t take interest in the subject and study it by heart, you won’t succeed even after doing loads of difficult work. Start with topics you think are easy, this will increase your confidence as well as your interest in the subject. If you will flee from Physics, problems will pile up like a mountain and will keep coming after you. You simply need to ignite a candle of hope in you that you can concentrate on Physics and secure great marks in it. Achievement will come in your direction. You simply need to vanquish your “fear of Physics”, Physics will be vanquished consequently.

Know your subject thoroughly

To start with anything, it is important to know what you are diving into. Numerous students stay away from Physics believing that it is stacked with numerical. Somewhat, they are correct. Mathematical issues are in pretty much every section of Physics. However, in the class 12 CBSE board test, you will be asked for a numerical of just 15 marks. In this way, don’t burn through your time in improving mathematics if the time is less. If it is extreme, leave this part and continue ahead, get ready for different areas. Study hypothetical divides appropriately.

You indeed need some numerical abilities to excel in it. In any case, notwithstanding it, you need to learn different stuff as well. For instance, a few themes from Optics, Modern Physics including Electronics (Semiconductor) scarcely require higher numerical abilities from you. You can perform well in those units.

Use your analytical skills

Make a complete rundown of derivations, formulae, and tests in your syllabus and keep that rundown; it will be helpful later during the test. While settling an inference, attempt to understand the rationale behind the determinations. Understanding an inference will assist you with determining it effectively at some random time. On the off chance that you don’t care for the mathematical part, start early! Become acclimated to the mathematical part. Address every single mathematical problem in the NCERT book (both, settled and inexplicable). Material science papers mandatorily have mathematics so there is no getting away from it.

Organization is the key

Revise and reread the notes you took on schoolwork and class readings. In case you’ve been staying aware of your classwork, recognizing the right material for the test is a lot simpler. Return and read over the material from the units that are on the test. Search for ideas that you featured, underlined, or invested a ton of energy in class. These generally sign for material that will show up on the test. 

• In case there is a test on Chapters 3-5, for instance, return to the work you did on those sections. Take a gander at the perusing notes you took and the notes from class to recognize what you need to know from those segments. 

Jot down every main point

Record the key ideas that will be on the test. This makes an extensive rundown of material that you need to know for the test. As you read through your notes, write down every one of the situations, ideas, jargon, and recipes you need for the test. Then, at that point, utilize this data to make your review guide.

• Try not to stress over getting sorted out these ideas or placing them in a particular request yet. Simply get the ideas on paper so you can put them together later on. 
• Additionally, record essential data about every idea. For instance, don’t duplicate down the speed equation without likewise noticing when you would utilize the recipe.

Make a study sheet

Make a review sheet that covers every one of the key ideas. At the point when you’ve recognized every one of the key ideas, put together the data into a review guide for the test. This is a far-reaching, however compact, rundown of all that you need to know for the test. Record every idea, in addition to a couple of list items that stop for a minute you need to think about it for the test

Break the material into subjects so you can filter the sheet effectively and discover what you need. For instance, separating the sheet into recipes, images, and watchwords is a decent construction for a material science test. 

Conclusion

Physics is a troublesome subject for some, and numerous students experience difficulty with it. If you want to ace your physics paper on your own, start by assessing your class material and distinguishing every one of the ideas that will be on the test. Then, at that point, go through issues you are facing and separate all the material that you’re experiencing difficulty with. Draw up a successful review plan and keep practicing.

Follow Business Blogger for more!

It is obvious that everyone aspires to score well in their class 12 board exams but maximum students lag behind due to a lack of strategic planning for the CBSE class 12 Physics exam. You must know by now that Physics is extremely important but is also equally tricky. However, with sound techniques and planning, you can be confident that it is not that difficult to score excellent marks in your exam. It is crucial to have an understanding based on concepts as well as logical solving ability. Theoretical know-how, visualization of topics, along the practical application of knowledge is fundamental. 

Much like every other subject, Physics also demands you to understand the basic ideas from the entire syllabus as prescribed by CBSE along with the in-detail analysis of some chapters that will be crucial for the board exam. Through this article, we will be discussing a few tips with the help of which you can be the best in the class 12 Physics exam.

Using the NCERT book

• If you think you are weak or uncomfortable with Mathematics, you might want to study Modern Physics first. Semiconductors is from the group of the most crucial chapters from the exam point of view. Its weightage is approximately 8 marks. Similarly, the concepts on Atoms and Nuclei make up 6 marks.
• Next, you have to take up Dual Nature of Radiation, because it carries 4 marks. Then, the Communication System which carries 3 marks. With a good grasp of these chapters, you can comfortably score high marks in your class 12 boards.
• Once that is done, you have to move on to difficult yet important chapters such as Optics, constituting 14 marks of the exam. In this chapter, it’s a good idea to complete Ray optics as a first step, because it is comparatively simpler. In Wave Optics, you have to focus on the problems with concepts of Interference, Diffraction, as well as Young’s experiment.
• Current and Electricity is fairly easy and also carries a strong weightage of 7 marks.
• Make sure to study Electrostatics and Magnetism because these chapters are extremely important for competitive exams like JEE.
• EMI is also a unit that requires a lot of concentration to get a high score. It is important for not only your 12th boards but also the competitive exams.
• Practice drawing and labelling the ray diagram as well as other diagrams very carefully. Drawing as you study will help you to understand the topics faster and you will remember them longer.
• Never ignore the objectives. Always solve objective type questions to be absolutely sure that you can score full marks in the 1 mark problems in your exam.

How to Prepare?

1. Read and reread the NCERT class 12 book for Physics as thoroughly as possible. It is the compulsory Holy book for your Physics board exam in Class 12. Note that every topic in your syllabus has been appropriately covered in the chapters of the NCERT book.

2.Create an exhaustive list of derivations, formulas, as well as experiments in the syllabus. Always have this list handy for the exams.

3. As you are solving any given derivation, try to understand the logic that drives the derivations. If you comprehend a derivation it will allow you to derive it at all times.
4. Revise every previously studied concept regularly.
5. In case you are not comfortable with the numerical problems, it’s best to start as early as possible. You have to get accustomed to the numerical as well. The best technique is solving every single numerical in the NCERT book, the solved examples as well as unsolved exercise questions. Physics papers will obviously have numerical sums so you cannot escape it.
6. Remember all the S.I units for every physical entity.
7. Once you have finished the whole syllabus, solve the questions from CBSE sample papers of Physics in by setting a timer to check how much time you are taking.

For the Best Score

• When you write the exam, try to put down the descriptive answers pointwise. Try to give pictorial and/or graphical representations when and if possible. This will enhance your visibility.
• For the long answers. Before you begin, jot down a point-to-point skeleton of the answer on the margin.
• Be precise for the very short answers and objective type questions.

A few more tips for the Best Score

• Always refer to your NCERT book for Physics before moving on to any other source. Without any doubt, it is the top priority book for the Class 12 board exam. All the topics prescribed in the syllabus for your exam have been covered properly here.
• It’s a good idea to prepare a complete list of all formulae in order to revise it multiple times. This will, in progression, allow you to solve all the numerical problems with effectiveness as well as speed.
• Solving the previous year’s question papers is a good tactic since it will lend you a significant idea of your actual exam. Once you finish your whole syllabus through and through, solve the model questions from the CBSE sample papers by setting a timer to check your speed and accuracy. This is also going to help you in practicing writing while you are yourself.
• Providing diagrams or graphical representations will fetch you better points. Make it a point to read your question paper from beginning to end before answering. Prior to starting, chalk out a rough frame of your answer along the margin for the long answers. Only write down precisely what is asked for a crisp and accurate answer.
• Practice ray diagrams along with all other diagrams with care and concentration because they are very important in order to score good marks. Drawing as you studying will also help you to clear out a few complex concepts faster easier

With these tips, you are sure to score 99% marks in your class 12 Physics board exams.

Follow Business Blogger for more!