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Important Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry - PDF Download

JEE Mains & Advanced

Class 12 maths chapter 11 Three Dimensional Geometry is an essential part of analytical geometry. Students will learn how to use vector algebra in 3 dimensional geometry to make the study easy and elegant. Three dimensional geometry class 12 important questions not only cover all the important topics like direction cosines of a line, direction cosine formula, angle between two lines etc. but also provide solutions to all the important questions of 3 dimensional geometry. Students must revise all the concepts several times and practice three dimensional geometry important questions more and more to solve questions in board exams quickly. 

3 dimensional geometry class 12 maths important questions are prepared by subject experts of mathematics at eSaral who have years of experience. These class 12th maths important questions are designed by analysing the latest syllabus of CBSE. Solving three dimensional geometry important questions will help you to score good marks in class 12 board exams. 

3d geometry questions answers pdf is also made available on eSaral for effective learning of chapter 11. You can download the PDF of three dimensional geometry important questions from the website of eSaral and practice them with solutions provided in these important questions so that you can get desired marks in the final exam. 

Important Topics & Sub-topics of Three Dimensional Geometry Class 12 Maths

To achieve full marks in chapter 11 class 12th maths board exams, you have to be well-versed with all the topics and sub-topics of three dimensional geometry. Class 12 maths chapter 11 covers various topics and sub-topics associated with 3d geometry which are explained in easy to comprehend language. You should go through these topics and concepts to solve questions easily in exams. 3 dimensional geometry class 12 important questions PDF can be accessed on eSaral to be well understood with significant topics and sub-topics by solving the important questions. You can check below the topics and sub-topics provided by expert teachers of eSaral in a tabular format. 

Topics 

Sub-topics

Introduction

 

Direction Cosines and Direction Ratios of a Line

  • Direction cosines of a line passing through two points

Equation of a Line in Space

  • Equation of a line through a given point and parallel to $\vec{a}$ given vector $\vec{b}$

Angle between Two Lines

 

Shortest Distance between Two Lines

  • Distance between two skew lines

  • Distance between parallel lines

Class 12 Maths Chapter 11 Three Dimensional Geometry  Weightage

To perform well in mathematics class 12 board exams, you must be aware of weightage criteria for each chapter and topics included in them. Students should understand the marking scheme and weightage of the syllabus before starting the preparation. It will help you to plan your study accordingly. Class 12 maths important questions provided by subject experts of eSaral can also help you to understand what type of questions can be asked and score good marks in board exams as these important questions are designed after consulting the latest CBSE syllabus. 

Class 12 maths chapter 11 Three Dimensional Geometry uses vector algebra to solve problems in this chapter. Chapter 11 has some essential topics which may be asked in class 12 exams. These topics carry 7-14 marks weightage in board exams. eSaral’s expert teachers of mathematics have provided the weightage here by analysing the previous year question paper and sample papers of mathematics. Thus, it is necessary to have a knowledge of marking scheme and weightage for the topics and questions before appearing for the exam to achieve higher marks in class 12 board exams. 

Three Dimensional Geometry has a total of two exercises as well as one miscellaneous exercise which you must practice to have a deep understanding of concepts related to this chapter. Students must solve the examples given before the exercises and practice three dimensional geometry class 12 important questions so that they will be well-versed with all the significant topics just before the board exams. 

Tips to Solve Class 12 Maths Chapter 11 Three Dimensional Geometry

In order to have an in-depth knowledge of topics and important questions related to chapter 11, students need to plan their preparation smartly. They must learn easy methods and concepts to solve questions without getting confused. Our experienced teachers of eSaral have provided some effective tips to solve questions of class 12 maths chapter 11 Three Dimensional Geometry. 

  1. To achieve full marks in chapter 11, students must prepare all the key concepts and formulas properly.

  2. By understanding each topic with its terms, definitions and properties, you will have a firm knowledge of topics. 

  3. There are topics like direction cosines and direction ratios of a line and angle between two lines that you must have a thorough understanding of to solve questions easily.

  4. You should also practice 3 dimensional geometry class 12 important questions developed by subject experts of eSaral for better comprehension of questions.

Benefits of Solving Class 12 Maths Chapter 11 Important Questions with Answers

Solving class 12 maths chapter 11 important questions with answers PDF will help you in so many different ways. eSaral’s expert faculty of mathematics have included here some of the helpful benefits that can be checked below.

  1. Three dimensional geometry class 12 maths chapter 11 important questions are designed in a manner that helps you to revise all essential topics which are vital from exam point of view. This will provide you an overview of highlighted sections of topics.

  2. By practicing these class 12th maths important questions will help you to find your strengths and weaknesses so that you can prepare accordingly.

  3. Maths important questions class 12 pdf will assist you to download it and practice these questions at your own convenience.

  4. In three dimensional geometry class 12 important questions, you will get simple to complex questions related to 3d geometry that will give you a deep understanding of each concept.

  5. Solving three dimensional geometry important questions provided by eSaral will improve your problem solving skills and time management in the main exams.

Frequently Asked Questions

Answer 1. Yes, you must solve all the examples provided before each exercise of class 12 maths chapter 11. This helps you to be well-versed with all concepts you have learnt related to 3d geometry. Along with examples you should also solve three dimensional geometry class 12 important questions provided by eSaral so that you can not miss any question in the board exam.

Answer 2. Direction cosines of a line are the cosines of the angles made by the line with the positive directions of the coordinate axes.

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