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NCERT Books Free Download for Class 11 Math Chapter 12 - Introduction to Three Dimensional Geometry

Last updated date: 17th Sep 2024
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NCERT Books for Class 11th

NCERT books are written in a very simple manner. These books can be understood by students very easily. NCERT Books should be preferred by students of every grade as they help in scoring good marks in the examination. NCERT Books are well designed and detailed and this helps students in achieving their desired score in school and board level examinations. NCERT Books are also preferred by students who sit for another competitive exam and these books are perfect for polishing the basics of any subject. NCERT is recommended to students as these books give deep knowledge and high-level questions are given for every chapter for the advancement of knowledge.

NCERT Books benefit students as the language used is very simple, there are many examples given to understand difficult concepts and if studied in a focused manner,  a student can score well in the examination.

Competitive Exams after 12th Science

NCERT Class 11th Math Book with Chapter 12 Introduction to Dimensional Geometry

NCERT Class 11th Math book will give adequate information about chapter 12 required for the examination. The students should solve all the questions mentioned in the NCERT Class 11th Book for scoring good marks in the examination.

Chapter 12th of NCERT class 11th Math Book can be downloaded free of cost by visiting Vedantu. One can also download the Vedantu app, which is again free of cost and accessible to all.

Topics Covered in The Chapter

Class 11th Math NCERT Chapter 12 covers topics like how coordinates of a point in space are identified, how the distance between two points is calculated, the section formula and how to prove the collinearity of points using the section formula.

Total Questions in The Chapter

Class 11th Math Chapter 12 Introduction to Three Dimensional Geometry Consists of 14 questions of which 9 are easy, 3 are moderate;y simple and 3 are long answer type questions. The chapter can be downloaded for free and the students can simply visit Vedantu’s website for the same.

Formulas Used in The Chapter

• Distance between any two points A( x1 , y 1 , z1 ) and B( x2 , y2 , z2 ): √[(x2- x1 )2 + (y2 - y1)2 + (z2 - z1)2 ]

• The coordinates of the mid-point of the line segment which joins two points A( x1 , y 1 , z1 ) and B( x2 , y2 , z2 ) are [ (x1 + x2 )/2, (y1 + y2 /2) , (z1 + z2 /2) ]

• The coordinates of the centroid of the triangle, whose vertices are (x1 , y 1 , z1 ) , (x2 , y2 , z2 ) and (x3 , y3 , z 3 ) are [ (x1 + x2 + x3 )/3, (y1 + y2+ y3 /3) , (z1 + z2 + z3 /3) ]

FAQs on NCERT Books Free Download for Class 11 Math Chapter 12 - Introduction to Three Dimensional Geometry

1. Why are NCERT questions Class 11 Math Chapter 12 Important?

The examples and exercises presented in the NCERT questions Class 11 Math Chapter 12 are based on real-life activities; they teach practical information in addition to the necessary theoretical knowledge. The principles covered in NCERT questions are useful for strengthening exam study skills. As a result, these questions are a valuable resource for learning about the various dimensions and characteristics of three-dimensional geometry.

2. Do I Need to Practice All Questions Provided in NCERT Questions Class 11 Math Introduction To Three Dimensional Geometry?

NCERT's team ensures that the content gathered in NCERT questions Class 11 Math Introduction To Three Dimensional Geometry is easy to understand and covers all of the major concepts. All of the exercises, examples, and exercise problems have been carefully crafted to assist students in getting a quick and effective understanding of the various topics. As a result, students would benefit from making use of this fantastic resource and by practicing all of the questions to assimilate the fundamental principles of three-dimensional space.

3. Why Should I Practice NCERT Questions Class 11 Math Introduction To Three Dimensional Geometry Chapter 12?

The NCERT questions are prepared by eminent scholars after a lot of research, and also they intend to present the matter in an easily understandable language. The CBSE board too highly recommends these questions for study; hence the probability of the questions landing up in the board examinations is high. Also, the students can learn a strategic approach towards problem-solving by referring to the NCERT questions Class 11 Math Introduction To Three Dimensional Geometry Chapter 12.

4. What are the Important Topics Covered in Class 11 Math NCERT questions Chapter 12?

The important topics covered in the NCERT questions for Class 11 math Chapter 12 includes a description of the rectangular Cartesian coordinate system, how to identify the coordinates of a location in space, and how to compute the distance between two points. What is the section formula, and how may it be used to verify point collinearity? The formula for finding the coordinates of the mid-point of the line segment, and finding the coordinates of the centroid of the triangle, is also explained in detail.

5. How Many Questions are there in NCERT questions Class 11 Math Chapter 12 Introduction To Three Dimensional Geometry?

The NCERT questions Class 11 Math Chapter 12 Introduction To Three Dimensional Geometry Chapter 12 has 14 questions, of which 9 are easy, 3 are moderately easy, and 3 are long answer type questions. There is also a miscellaneous exercise at the end of the chapter whose problems combine all of the concepts learned in the chapter. It has 5 questions, which will be advantageous for the students to learn higher-level math.