Exercise 11.1 Class 12 Maths NCERT Solutions: Students in CBSE Class 12 can find the NCERT Solutions for Class 12 Chapter 11 exercise 11.1 in this article. NCERT Solutions for Class 12 Maths are an important part of the preparation for students who want to score good marks in the exam.

NCERT Solutions for Chapter 11 Ex 11.1 Class 12 Maths curated by Embibe features the latest and the most detailed information on the topic that is simple to understand for students. Practising the questions included in the textbook exercise in the NCERT solutions can help students pass the exam with flying colours. Within the article, we have provided the NCERT Solutions for Class 12 Chapter 11 exercise 11.1 Maths in PDF format that students can download and study offline. Read further to learn more about Class 12 Maths 11.1 exercise.

NCERT Solutions for 3D Geometry Exercise 11.1 Class 12 Maths: Overview

Referring to NCERT Class 12 Maths Solutions in PDF form helps students learn and practice offline at any time. Experts at Embibe have formulated the solutions to 3D Geometry by relying on the latest guidelines issued by CBSE. We have included a brief overview of the NCERT Solutions for 3D Geometry chapter for reference in the table below:

Class	Class 12
Chapter Name	3D Geometry
Exercise Number	Ex 11.1
Topic Name	Introduction to 3D Geometry
Language	English
Solution Type	In-text Solved Questions
Official Website	https://ncert.nic.in/

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NCERT Solutions for Class 12 Maths Chapter 11 Ex 11.1: Download PDFs

NCERT textbooks are the best place to prepare for the CBSE Class 12 Maths exam effectively through detailed in-text questions. The goal behind studying through the NCERT books is to get a clear understanding of all the concepts in the chapter.

Embibe has provided the NCERT Solutions for Class 12 Maths Chapter 11 Ex 11.1 for students to start practising the concepts right away and crack the exam with full marks. NCERT Solutions for Maths Class 12 are provided in PDF format so that students can refer to them offline, and it is easier to search for terms easily. We have aligned NCERT Solutions for Chapter 11 Maths Class 12 for easier access below. To use it any time, students can also bookmark the page and save the link to NCERT solutions for later reference.

Benefits of Studying from NCERT Solutions for Class 12 Maths Chapter 11

There is a wide array of advantages when it comes to referring to Embibe’s Class 12 Maths NCERT Solutions in PDF file form. We have listed a few benefits of studying from NCERT Solutions by Embibe below:

1. The Maths Class 12 NCERT Solutions are curated by some of the best subject matter experts at Embibe.
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7. The solutions prepared are in line with the latest guidelines issued by CBSE.
8. The exercise solutions to NCERT Class 12 Maths here include all different types of solutions including long and short-form answers as well as MCQs, etc., which can be vital for students in preparation.
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About NCERT Solutions for Class 12 Maths Ex 11.1

In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width and height. Unlike two-dimensional shapes, three-dimensional shapes have thickness or depth.

While earlier chapters in the Class 12 Maths book have covered Vector Algebra, the chapter 3D Geometry uses Vector Algebra on 3-dimensional Geometry. It utilizes 3 directional cosines namely, cos α, cos β and cos γ are called direction cosines of the directed line L. As 11.1 is the first exercise of the chapter, it focuses mainly on the introductory concepts of 3D Geometry.

The several aspects related to 3D Geometry that are a part of this chapter are:

• Direction Cosines and Direction Ratios of a Line
• Relation Between the Direction Cosines 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 a Given Vector B
• Equation of a Line Passing Through Two Given Points
• The Angle Between Two Lines
• Shortest Distance Between Two Lines
• Distance Between Two Skew Lines
• Distance Between Parallel Lines
• Equation of a Plane in Normal Form
• Equation of a Plane Perpendicular to a Given Vector and Passing Through a Given Point
• Equation of a Plane Passing Through Three Non-collinear Points
• Intercept Form of the Equation of a Plane
• The Angle Between Two Planes
• Distance of a Point from a Plane
• The Angle Between a Line and a Plane

Definition & Formulas for Class 12 Maths Chapter 11 3D Geometry

• Direction cosines of a line are the cosines of the angle made by a particular line with the positive directions on coordinate axes.
• Skew lines are lines in space which are neither parallel nor intersecting. These lines lie in separate planes.
• If l, m and n are the direction cosines of a line, then l2 + m2 + n2 = 1.

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FAQs on NCERT Solutions for 3D Geometry Ex 11.1 Class 12 Maths

Some of the frequently encountered questions related to NCERT Solutions for 3D Geometry Chapter 11 Ex 11.1 Class 12 Maths have been answered below:

Q1: How many exercises are there in CBSE NCERT Solutions for Class 12 Maths Chapter 11 PDF?
A1: There are a total of 10 exercises included with subtopics in Class 12 Maths Chapter 11.

Q2: What is the name of CBSE Class 12 Maths Chapter 11?
A2: Class 12 Maths Chapter 11 name is Three Dimensional Geometry.

Q3: Where can I find the complete class 12 Mathematics formula for the NCERT book?
A3: Students can find the compiled list of formulas in this article on the Embibe platform for. Students can also find direct links to Class 12 Mathematics notes, solutions, practise papers, mock tests, important questions, and much more.

Q4: How will NCERT Solutions for Class 12 Maths Chapter 11 Exercise 11.1 help me score good marks in the CBSE Class 12 exams?
A4: By helping students get a clear understanding of the concepts, covering questions of all the different types, and by covering each problem in a step-by-step manner, NCERT Solutions for Class 12 Maths Chapter 11 Exercise 11.1 can help students score higher marks.

Q5: How many exercises are there in the CBSE Class 12 Maths 3D Geometry chapter?
A5: There are a total of 3 exercises in the CBSE Class 12 Maths 3D Geometry chapter.

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We hope this article on NCERT Solutions for 3D Geometry Exercise 11.1 Class 12 Maths was helpful to you. For any further queries, drop us a comment below. Till then, stay tuned to Embibe for more updates on CBSE Class 12 Maths, exam tips and the latest academic articles!