3D Geometry JEE Mains Questions PDF Download
3D geometry is a branch of mathematics that deals with shapes and figures in three-dimensional space. It involves concepts such as coordinates, vectors, planes, lines, angles, distances, projections, direction cosines, direction ratios, and equations of various geometrical objects. 3D geometry is an important topic for JEE mains as it tests the spatial visualization and analytical skills of the candidates. It also has many applications in engineering, physics, computer graphics, and architecture.
In this article, we will guide you on how to download JEE mains questions PDF on 3D geometry from various sources, and how to prepare for them using tips and tricks. We will also provide some useful resources and answer some common questions related to the topic.
3d geometry jee mains questions pdf download
How to download JEE mains questions PDF on 3D geometry from various sources?
There are many websites that offer JEE mains questions PDF on 3D geometry for free or at a nominal cost. These PDFs contain chapter-wise or topic-wise questions with solutions, covering all the important concepts and formulas of 3D geometry. Some of these websites are:
MathonGo website
MathonGo is a platform that provides online coaching and study materials for JEE aspirants. It offers JEE mains questions PDF on 3D geometry for free download. The PDF contains chapter-wise solved questions for mathematics in PDF format prepared by expert IIT JEE teachers at MathonGo. By solving these questions, you can improve your speed and accuracy in solving 3D geometry problems.
You can download the PDF from this link:
BYJU'S website
BYJU'S is a leading educational company that offers online courses and learning programs for various exams. It also provides JEE mains questions PDF on 3D geometry for free download. The PDF contains previous year questions with solutions on three-dimensional geometry from JEE main exams. These questions include all the important topics and formulae of 3D geometry.
You can download the PDF from this link:
Vedantu website
Vedantu is an online tutoring platform that offers live classes and interactive courses for various exams. It also provides JEE mains questions PDF on 3D geometry for free download. The PDF contains important questions with solutions on three-dimensional geometry for JEE main exam. These questions are curated by experienced teachers and cover all the essential concepts of 3D geometry.
You can download the PDF from this link:
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How to prepare for JEE mains questions on 3D geometry using tips and tricks?
Preparing for JEE mains questions on 3D geometry requires a good understanding of the concepts and formulas, as well as a lot of practice and revision. Here are some tips and tricks that can help you ace this topic:
Review the syllabus and formulas
The first step is to review the syllabus of JEE main exam and identify the topics and subtopics of 3D geometry that are included in it. You can refer to the official syllabus released by NTA from this link: . You should also memorize the formulas of 3D geometry such as distance formula, section formula, projection formula, direction cosines formula, direction ratios formula, equation of a line, equation of a plane, angle between two lines, angle between two planes, shortest distance between two lines, shortest distance between a point and a plane, image of a point in a plane, etc.</p Watch video lectures and solve examples
The next step is to watch video lectures and solve examples on 3D geometry from reliable sources. Video lectures can help you understand the concepts and methods of solving 3D geometry problems in a visual and interactive way. You can also learn some shortcuts and tricks from the experts. Some of the sources that offer video lectures on 3D geometry are:
MathonGo YouTube channel:
BYJU'S YouTube channel:
Vedantu YouTube channel:
You should also solve the examples given in the video lectures and check your answers. This will help you reinforce your learning and identify your mistakes.
Practice previous year questions and mock tests
The final step is to practice previous year questions and mock tests on 3D geometry from various sources. Previous year questions can help you familiarize yourself with the pattern and difficulty level of JEE main exam. They can also help you revise the important topics and formulas of 3D geometry. Mock tests can help you assess your preparation level and improve your speed and accuracy. Some of the sources that offer previous year questions and mock tests on 3D geometry are:
MathonGo website:
BYJU'S website:
Vedantu website:
You should practice as many questions and mock tests as possible and analyze your performance. You should also note down your doubts and errors and clear them with the help of teachers or peers.
Conclusion
3D geometry is a vital topic for JEE main exam as it tests your spatial visualization and analytical skills. To ace this topic, you need to download JEE main questions PDF on 3D geometry from various sources, and prepare for them using tips and tricks. You need to review the syllabus and formulas, watch video lectures and solve examples, and practice previous year questions and mock tests. By following these steps, you can master 3D geometry and score well in JEE main exam.
Here are some useful resources that can help you further in your preparation:
[MathonGo app]: An app that provides online coaching and study materials for JEE aspirants.
[BYJU'S app]: An app that offers online courses and learning programs for various exams.
[Vedantu app]: An app that offers live classes and interactive courses for various exams.
FAQs
What is the weightage of 3D geometry in JEE main exam?
The weightage of 3D geometry in JEE main exam varies from year to year, but it is usually around 5% to 10% of the total marks. This means that you can expect 2 to 4 questions on 3D geometry out of 25 questions in mathematics section.
What are the important topics of 3D geometry for JEE main exam?
The important topics of 3D geometry for JEE main exam are:
Coordinates of a point in space
Distance between two points
Section formula
Direction cosines and direction ratios
Angle between two lines
Equation of a line
Coplanarity of two lines
Shortest distance between two lines
Angle between two planes
Equation of a plane
Distance of a point from a plane
Image of a point in a planeIntercept of a plane on the coordinate axes
Family of planes
Angle between a line and a plane
Condition of perpendicularity and parallelism of a line and a plane
Projection of a line segment on a plane
How to solve 3D geometry problems quickly and accurately?
To solve 3D geometry problems quickly and accurately, you need to follow these steps:
Read the question carefully and identify the given data and the required data.
Draw a rough diagram of the 3D figure and label the points, lines, planes, angles, etc.
Apply the relevant formula or theorem to find the unknown data.
Simplify the calculations and avoid unnecessary steps.
Check your answer and units.
What are some common mistakes to avoid in 3D geometry problems?
Some common mistakes to avoid in 3D geometry problems are:
Mixing up the direction cosines and direction ratios of a line or a plane.
Using the wrong sign convention for angles and distances.
Confusing the equation of a line with the equation of a plane.
Forgetting to apply the condition of coplanarity or perpendicularity or parallelism when required.
Making calculation errors or rounding off errors.
What are some good books for 3D geometry for JEE main exam?
Some good books for 3D geometry for JEE main exam are:
[Coordinate Geometry by S.L. Loney]: A classic book that covers all the topics of 2D and 3D geometry with theory, examples, and exercises.
[Plane Trigonometry Part 1 by S.L. Loney]: A companion book that covers all the topics of trigonometry with theory, examples, and exercises.
[Higher Algebra by Hall and Knight]: A comprehensive book that covers all the topics of algebra with theory, examples, and exercises.[Problems in Mathematics by V. Govorov, P. Dybov, N. Miroshin, S. Smirnova]: A problem-solving book that contains a large collection of problems on various topics of mathematics with hints and solutions.
[Objective Mathematics by R.D. Sharma]: A book that contains objective type questions on all the topics of mathematics with solutions and explanations.
I hope this article has helped you in your preparation for 3D geometry for JEE main exam. If you have any feedback or suggestions, please feel free to comment below. Happy learning! 44f88ac181