JEE Advanced Important Questions of Three Dimensions Geometry
In mathematics, Geometry is the practical section involving shapes and sizes and different properties of varied materials. The subject of geometry can be classified into two parts- solid and plane geometry. The plane geometry studies shapes that are flat like the lines, curves etc. solid geometry on the other hand is the study of three-dimensional shapes like the cylinder, cube, etc.
In the case of Cartesian Geometry, one notices that it usually deals with the 2-D and 3-D geometry. On the one hand, two-dimensional geometry encompasses the study of the location from a given x-y plane; whereas three-dimensional geometry deals with the three orthogonal axes, that is, x, y and z axes. Thus, one can state that three-dimensional geometry in brief is simply an extension or the product of the two-dimensional geometry.
Three dimensions in geometry are the solids that possess three dimensions- length, width and height. The 2-dimensional shapes only have two dimensions associated with length and width. Three-dimensional shapes can be seen in the day to day surroundings. A cone-shaped ice cream, a box of cubical shapes etc are examples of the same.
Geometry is one of the practical sections of Mathematics that involves various shapes and sizes of different figures and their properties. Geometry can be divided into two types: plane and solidgeometry. Plane geometry deals with flat shapes like lines, curves, polygons, etc., that can be drawn on a piece of paper. On the other hand, solid geometry involves objects of three-dimensional shapes such as cylinders, cubes, spheres, etc. In this article, we are going to learn different 3D shapes models in Maths such as cube, cuboid, cylinder, sphere and so on along with its definitions, properties, formulas and examples in detail.
This article by Vedantu will focus on the three-dimensional geometry, called solid geometry, that forms the syllabus of the JEE advanced examinations. The study of solid geometry will deal with the different shapes such as cubes, cuboids, tetrahedrons, etc. As Three Dimensional geometry is one of the most important topics for the JEE aspirants, this article will provide the candidates with important questions that will help them prepare better for the exam.
JEE Advanced Important Questions
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JEE Advanced Important Questions of Three Dimensions Geometry
The important questions on Three Dimensions Geometry for JEE Advanced covering all the 3D shapes are provided below in a PDF format. This PDF can be downloaded for free. The basic attributes that all 3D shapes have are edges, vertices, and faces. Practising these sums will help aspirants get along with all the formulae and properties of each D-shape better.
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Three Dimensions Geometry Important Questions for JEE Advanced
This chapter is also known as solid shapes. The common 3D shapes are cube, cuboid, cylinder, sphere, prism, cone, frustum, etc. The various properties of these 3D solid shapes are important to remember. The JEE Advanced Three Dimensions Geometry important questions are mostly applications of the properties of these solid shapes. The basic formulae for these shapes include formulae for volume, lateral surface area, and total surface area. JEE Advanced aspirants get a proper grasp on this long list of formulae for solid shapes with practice. There are several properties, solving for the proof of which are included in the syllabus of 10+2 boards.
Among all the solid shapes, spheres, cylinders, cones are mostly included in the syllabus of Class 10 board exams as well.
JEE Advanced important questions on Three Dimensions Geometry and their solutions are provided in the PDF given below. Aspirants may download the PDF and make a self-assessment, by referring to the solutions. Practising these questions within a given time limit will help JEE Advanced aspirants to improve their pace.
FAQs on JEE Advanced Three Dimensions Geometry Important Questions
1. Is 3-D geometry important for JEE advanced?
Yes, the topic of 3-D geometry is very important for the students aspiring to sit for the JEE Advanced examinations. The question paper of the JEE Advanced presents lots of questions from this particular chapter. If the student is not prepared well with the contents of this chapter, there are high chances that he/she might lose marks which might affect his ranking. Therefore, it is advised that the students practice all the important topics and concepts that this particular chapter entails. They can visit Vedantu’s website and access the important questions. These will help the student practice and learn the pattern in which the questions might be asked.
2. Are the NCERT books enough for practicing 3D geometry?
The NCERT books are very important for the candidates who plan to appear for the JEE Advanced. This is because the NCERT books cover all the topics with details and precision. This will help the students get an extensive idea about the topic and help in preparing them for the exam. Practising the questions from the NCERT books are also very helpful. But, apart from this, it is also advised that the student should refer to the previous year’s question papers. This will help them understand the pattern of the question paper and how the answers are to be given efficiently.
3. What is the weightage of coordinate geometry in JEE Advanced?
At least 5 questions are asked every year from the topic of Coordinate geometry in the JEE Advanced question papers. A total weightage of 20 marks is allotted to these questions. Therefore, the student has to be very well prepared for the given topic. This is because every mark holds a value in deciding the rank of the candidate. This will furthermore influence the admission process of the student. To help the candidate prepare well for the exam, the website of Vedantu helps the student by providing them with important questions and relevant study materials, which will guide and assist the candidate’s performance.
4. Where to download the materials for JEE Advanced Three-dimensional?
The students can easily download the important questions for the topic three-dimensional from the website of Vedantu for free. The students can download these in pdf format and even access them offline. The website of Vedantu makes sure that all these materials are updated regularly so that the students are not left behind on anything. The practice of these questions will help the student to get a better understanding of the topic. Apart from this, this will also help them figure out their areas of strength and weakness and prepare accordingly for the exams.
5. What is the Coordinate System in 3-D geometry?
While talking about three-dimensional geometry, the coordinate system is referred to the system where the position or location of a point is identified on a coordinate plane. To understand more about the coordinate systems, the students should refer to the website of vedantu. This website provides the students with all the materials and important questions that will guide and assist the student while preparing for the exam. Practising the questions will help the student get an idea of how questions are set for the exam. It will also help the student improve their speed so that they have time for revision in the actual examination.