NCERT Solutions for Class 10 Science Chapter 9
May 24, 2023
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NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry
NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry: NCERT solutions are important for students. With the help of these solutions, they will learn about the representation of points and different three-dimensional figures. They will also learn about the salient features of three-dimensional shapes and their characteristics in detail. These NCERT Class 11 Maths solutions by Embibe are based on the latest syllabus by CBSE.
Embibe provides NCERT solutions for this chapter for free to students. These NCERT solutions help students learn the correct method to solve exam questions. Apart from these solutions, Embibe also offers 200+ practice questions from this chapter covering 16 concepts. These practice questions are helpful as they increase students’ knowledge. Therefore, students must go through them to ace exams.
NCERT Solutions for Class 11 Maths Chapter 12: Important Topics
Students can clear their doubts by referring to NCERT Solutions for Class 11 Maths. Also, these Class 11 Maths Chapter 12 solutions cover all the important topics from Three Dimensional Geometry. The important topics from Chapter 12 will teach students the fundamentals of geometry in three dimensions. Students must be familiar with coordinate geometry to understand the concepts of these topics.
The important topics include calculating the distance between two points, section formula, and many more. NCERT 11th Maths Chapter 12 Solutions comprise 14 questions. Talented subject matter experts at Embibe design these solutions to help students score better marks. Further, Embibe offers NCERT Exemplars and books for free. Students can also access free 3D videos at Embibe’s Learning Platform to understand concepts in-depth. These study materials are very helpful during exam preparation.
Now, let us look at the important topics from this chapter:
| Sr. No. | Topic Name |
|---|---|
| 12.1 | Introduction |
| 12.2 | Co-Ordinate Axes and Co-ordinate Planes in Three Dimensional Space |
| 12.3 | Coordinate of a Point in Space |
| 12.4 | Distance Between Two Points |
| 12.5 | Section Formula |
NCERT Solutions for Class 11 Maths Chapter 12: Points to Remember
The important points are helpful when students are doing their revision. It gives them an idea of the chapter and a quick gist of the important topics. Some of the important points to remember from this chapter are as follows:
- Distance between two points A( x1 , y 1 , z1 ) and B( x2 , y2 , z2 ): √[(x2– x1 )2 + (y2 – y1)2 + (z2 – z1)2 ]
- Coordinates of mid-point of given line segment that joins the 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 centroid of triangle and their 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) ]
- Midpoint of a Line Segment: [½ (x1 + x2), ½(y1 + y2), ½(z1 + z2)]
- Coordinates of Centroid of a Triangle: [⅓ (x1 + x2 + x3), ⅓ (y1 + y2 + y3), ⅓ (z1 + z2 + z3)]
NCERT Solutions for Class 11 Maths: All Chapters
Referring to NCERT solutions helps students solve all exercises and intext questions from the chapters. They also prove very useful for practice purposes and while doing revision. Students can get the NCERT solutions for Class 11 Maths below to help them with their exam preparations:
- 1st Chapter: Sets
- 2nd Chapter: Relations and Functions
- 3rd Chapter: Trigonometric Functions
- 4th Chapter: Principle of Mathematical Induction
- 5th Chapter: Complex Numbers and Quadratic Equations
- 6th Chapter: Linear Inequalities
- 7th Chapter: Permutations and Combinations
- 8th Chapter: Binomial Theorem
- 9th Chapter: Sequences and Series
- 10th Chapter: Straight Lines
- 11th Chapter: Conic Sections
- 12th Chapter: Introduction to Three Dimensional Geometry
- 13th Chapter: Limits and Derivatives
- 14th Chapter: Mathematical Reasoning
- 15th Chapter: Statistics
- 16th Chapter: Probability
Access Free Study Materials for NCERT Class 11 Maths Chapter 12 on Embibe
Students can access free study materials for CNERT Class 11 Maths on Embibe. These study materials ensure that students get a thorough preparation for the exam. Click on the links in the table below to access them and start preparing for the exam:
| NCERT Class 11 Maths Chapter 12 Study Materials | Links |
|---|---|
| Book | NCERT Class 11 Maths Book |
| Practice Questions | NCERT Class 11 Maths Chapter 12 Questions |
| Mock Tests | NCERT Class 11 Maths Chapter 12 Test |
FAQs on NCERT Solutions for Class 11 Maths Chapter 12
Here are some frequently asked questions about NCERT solutions for Class 11 Maths Chapter 12:
Q: What is Class 11 Maths Chapter 12 about?
Ans: Students learn about various topics such as representing a point in three-dimension, cube, cuboid, cone, volume and area of three-dimensional shapes, and much more.
Q: Where can I get NCERT Class 11 Maths Chapter 12 Solutions?
Ans: Students can get NCERT Class 11 Maths Chapter 12 Solutions on Embibe for free.
Q: How many exercises are there in NCERT Class 11 Maths Chapter 12 Solutions?
Ans: There are four exercises in NCERT Class 11 Maths Chapter 12 Solutions.
Q: Does Embibe provide mock tests for Class 11 Maths Chapter 12?
Ans: Yes, Embibe provides mock tests for Class 11 Maths Chapter 12 for free.
Q: How many questions are there in NCERT Class 11 Maths Chapter 12 Solutions?
Ans: There are 14 questions in NCERT Class 11 Maths Chapter 12 Solutions.
We hope you found this article useful. Stay tuned to Embibe for the latest updates and more such study resources.
