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Last updated date: 16th Jul 2024
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## Three Dimensional Geometry Practice Paper with Solutions and Answer Key For JEE Main

JEE Main aspirants must understand the significance of Three Dimensional Geometry Practice Paper as it directly contributes to vectors, lines, and planes in three-dimensional space which is essential for success in JEE Main Maths.

 Category: JEE Main Practice Paper Content-Type: Text, Images, Videos and PDF Exam: JEE Main Chapter Name: Three Dimensional Geometry Academic Session: 2025 Medium: English Medium Subject: Mathematics Available Material: Chapter-wise Practice paper with PDF

Vedantu supports students preparing for JEE Main Maths by providing a valuable FREE PDF download of the Three Dimensional Geometry Practice Paper. This resource is prepared for chapter-wise practice, guaranteeing comprehensive coverage of essential topics. By obtaining it for FREE, you can augment your knowledge and boost your confidence in attempting questions efficiently. The inclusion of detailed solutions and answer keys aids in resolving doubts and understanding the step-wise approach to question-solving. Additionally, practicing Vedantu’s Three Dimensional Geometry Practice Paper for JEE Main enhances your question-solving speed.

In the upcoming JEE Main Exam, anticipate a minimum of 2 questions directly linked to the Three Dimensional Geometry chapter. To grasp the full scope of its significance, refer to the provided table detailing the weightage of the Three Dimensional Geometry chapter in the last five years of the JEE Main Exam.

 Year Weightage of JEE Main Questions From Three Dimensional Geometry 2023 6% 2022 6% 2021 7% 2020 6% 2019 7%

Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Three Dimensional Geometry Practice Paper today to excel in your JEE Main exams!

## Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Chemistry, Maths, and Physics—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Chemistry, as well as Physics Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for JEE Main Subject-wise Practice Paper.

 Subject-wise Links For JEE Main Practice Paper JEE Main Chemistry Practice Paper JEE Main Physics Practice Paper

### Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers needs to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.

### Important Topics From Three Dimensional Geometry for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Three Dimensional Geometry. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper of Three Dimensional Geometry. Here are some of the important topics of Three Dimensional Geometry.

• #### Coordinates in 3D Space:

Just like in 2D, you have x, y, and z coordinates to pinpoint a location in 3D space. This is called Cartesian coordinates.

• #### Distance and Midpoint Formula:

You'll need to know how to find the distance between two points in 3D space and how to find the midpoint between them.

• #### Equation of a Plane:

Planes are flat surfaces in 3D. You should be able to find the equation of a plane given certain conditions.

• #### Vectors in 3D:

Vectors are quantities with both magnitude and direction. You'll need to work with vectors in 3D, understanding their addition, subtraction, dot product, and cross product.

• #### Lines and Intersection:

You should know how to find the equation of a line in 3D and how to find the point of intersection between lines or lines and planes.

• #### Angles and Direction Cosines:

Understanding angles between lines and planes and direction cosines is important.

• #### Shortest Distance Between Two Lines:

You'll need to find the shortest distance between two non-parallel lines.

• #### Skew Lines:

Learn about skew lines, which are non-intersecting and non-parallel lines.

• #### Angle Between Two Planes:

Find the angle between two planes in 3D space.

• #### Projection and Direction Ratios:

Understand how to find the projection of a vector on another vector and how to determine direction ratios.

• #### Solving Problems:

Practice solving problems related to 3D geometry, including those involving points, lines, and planes.

### Equations To Score More in Practice Paper of JEE Main Three Dimensional Geometry

Equations are the base to solve the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out Practice Paper of JEE Main Three Dimensional Geometry.

• #### Distance Formula:

$\text{Distance between two points } (x_1, y_1, z_1) \text{ and } (x_2, y_2, z_2): \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$

• #### Equation of a Plane:

$Ax + By + Cz + D = 0$

• #### Equation of a Line:

$\frac{{x - x_1}}{{a}} = \frac{{y - y_1}}{{b}} = \frac{{z - z_1}}{{c}}$

• #### Distance from a Point to a Plane:

$\text{Distance } (d) = \frac{{\left| Ax_1 + By_1 + Cz_1 + D \right|}}{{\sqrt{A^2 + B^2 + C^2}}}$

• #### Direction Cosines:

$\cos \alpha = \frac{{A}}{{\sqrt{A^2 + B^2 + C^2}}}, \quad \cos \beta = \frac{{B}}{{\sqrt{A^2 + B^2 + C^2}}}, \quad \cos \gamma = \frac{{C}}{{\sqrt{A^2 + B^2 + C^2}}}$

• #### Angle between Two Lines:

$\cos \theta = \frac{{a_1 a_2 + b_1 b_2 + c_1 c_2}}{{\sqrt{a_1^2 + b_1^2 + c_1^2} \cdot \sqrt{a_2^2 + b_2^2 + c_2^2}}}$

### What Makes Vedantu’s Practice Paper PDF of JEE Main Three Dimensional Geometry Different?

Practice Paper for JEE Main assumes a significant role in student preparation, providing questions that mimic the JEE Main exam's structure. Vedantu’s JEE Main Practice Papers emerges as the ideal post-learning resource upon finishing each Maths chapter. Now, let’s uncover the defining features of Vedantu’s Three Dimensional Geometry Practice Paper for JEE Main.

• Quality Content: Vedantu's Practice Paper for Three Dimensional Geometry is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

• Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from Three Dimensional Geometry, allowing students to thoroughly practice and master each topic.

• Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Three Dimensional Geometry JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

• User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

• Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.

### How To Prepare For JEE Main With Three Dimensional Geometry Practice Paper?

Vedantu’s Three Dimensional Geometry JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.

1. Download the Daily Practice Paper of JEE Main Three Dimensional Geometry.

2. You can set a timer of 1 hour.

3. Solve the easy questions first and give time for tough questions.

5. Each question carries 4 marks and give a negative mark of -1 for each questions.

6. Now calculate the score and analyse yourself.

7. You can take the help of detailed solutions given in the PDF for the better clarity of questions and answers.

8. Learn how to do the incorrect answers and prcatice the questions again.

9. Make a note of the time you taking for each question to practice.

### When to Start Preparing With JEE Main Practice Paper of Three Dimensional Geometry?

To excel in your JEE Main exams, initiating your JEE Main Practice Paper of Three Dimensional Geometry preparation early in your academic journey is essential. This approach enables thorough subject mastery and ample revision time, both key to exam success. Utilize this timeline for optimizing your JEE Main preparation with Daily Practice Paper.

• Foundation Building (1-2 Years Prior): Start with foundational studies and building a strong understanding of the core concepts in Three Dimensional Geometry.

• Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating Practice Paper of JEE Main Three Dimensional Geometry into your routine.

• Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.

### Additional Materials To cover With  JEE Main Three Dimensional Geometry Practice Paper

After learning with the Three Dimensional Geometry chapter, you need to make sure that you are mastering the contents you learn, so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision with the Three Dimensional Geometry you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.

### Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Three Dimensional Geometry, you can test your online skills for JEE Main Maths. Vedantu is also providing you an online practice paper test where you can get a real experience of attempting JEE Main Exam.

 JEE Main Maths Online Practice Paper JEE Main Maths Practice Paper - Test 1 JEE Main Maths Practice Paper - Test 2

### Mastering Three Dimensional Geometry With JEE Main Practice Paper

The JEE Main Three Dimensional Geometry Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer key help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Three Dimensional Geometry Daily Practice Paper for FREE!

### JEE Mains Sample Paper: Three Dimensional Geometry

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2025 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Three Dimensional Geometry chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.

With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

## FAQs on JEE Main Three Dimensional Geometry Practice Paper FREE PDF Download

1. What is Three-Dimensional Geometry in the context of JEE Main practice paper?

Three-Dimensional Geometry in the JEE Main practice paper involves studying the properties and equations of lines, planes, and solids in three-dimensional space.

2. How can I prepare effectively for Three-Dimensional Geometry in the JEE Main practice paper?

To prepare effectively, revise the concepts, practice problems, and solve previous years' questions. Utilize the practice paper and answer key to assess your understanding.

3. What topics should I focus on within Three-Dimensional Geometry for JEE Main practice paper?

Focus on topics like equations of lines and planes, intersection of lines and planes, skew lines, and various forms of equations for lines and planes.

4. How can I approach problems related to the intersection of lines and planes in the JEE Main practice paper?

To find the intersection point, solve the equations of the line and the plane simultaneously. The resulting point is the intersection point.

5. What are "skew lines" in Three-Dimensional Geometry for the JEE Main practice paper?

Skew lines are two non-parallel lines in three-dimensional space that do not intersect. They are closest at a certain point called the "closest approach."

6. How important is it to understand the concept of distance between skew lines for the JEE Main practice paper?

Understanding the distance between skew lines is crucial as it frequently appears in problems related to Three-Dimensional Geometry in the JEE Main practice paper.

7. Are there any specific techniques to solve questions on the shortest distance between a point and a line in Three-Dimensional Geometry for JEE Main practice paper?

Use the formula for the shortest distance, which involves finding the projection of the point onto the line.

8. What are the common equations used for lines in Three-Dimensional Geometry practice paper for JEE Main?

Common line equations include the point-slope form, two-point form, and parametric form.