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# Proper Preparation with RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines Exercise 23.12

Last updated date: 13th Sep 2024
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## RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines Exercise 23.12 - Free PDF

Free PDF download of RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines Exercise 23.12 solved by Expert Mathematics Teachers of Vedantu.com. All Chapter 23 - The Straight Lines Ex 23.12 Questions with Solutions for RD Sharma Class 11 Maths will help you to revise and complete the syllabus to score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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## About RD Sharma Class 11 Chapter 23 Straight Lines

Class 11 Chapter 23 titled ‘The Straight Lines’, is all about the various concepts and understandings of Coordinate Geometry, an essential branch of the High School Mathematics curriculum.  A clear understanding of the various concepts of this chapter is extremely important for being able to score good marks and do well in the Class 11 examinations.

When understanding the concepts of a Straight Line,  we will need to understand the various concepts regarding slopes, concepts of angles between two lines, the distance between Two Lines, etc. For this, study materials like the RD Sharma Class 11 Solutions come in as very handy and useful.

### About Class 11 Chapter 23 Exercise 23.12

The Straight Lines Ex.23.12 deals with parallel and perpendicular lines to a given line, the concept of which has been very clear, and concisely explained in the RD Sharma Class 11 Solutions of the 23rd Chapter, Ex.23.12. These explanations have been derived and solved by the Mathematics subject experts at the popular online education portal, Vedantu.com.

Questions found in Chapter 23, The Straight Lines, Ex.23.12 have Solutions that enable all Class 11 students to be able to revise well and thereby expect better and higher marks in their examinations. Students find these Solutions very easy to grasp and understand, and the explanations available in these RD Sharma Class 12 Solutions, go a long way in encouraging students to understand their abilities of rational thinking.

The well planned out and well thought out solutions available for Chapter 23, Ex.23.12 make it easier for students to practice well and cover the required problems in a good time. This also helps the students in realizing the value of time, which is an important aspect during the Board examinations.

Therefore the students who aim for higher marks in the Board exams should be encouraged to study, and practice, on a regular basis, by taking help from Vedantu’s  RD Sharma  Class 11 Solutions of Chapter 23, on ‘The Straight Lines’. Download the solutions for this exercise from Vedantu and completely understand the concepts to solve the problems in the board exams. Develop your conceptual foundation regarding straight lines as it will help you to understand advanced concepts in the higher courses.

## FAQs on Proper Preparation with RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines Exercise 23.12

1. Where can I Get Solutions for Class 11 Chapter 23 Ex. 23.12?

Solutions are easily available for any Classes these days. Various online platforms have solutions to every possible problem. The RD Sharma Solutions for Class 11, Chapter 23, Ex. 23.12, on The Straight Lines, is available at Vedantu.com, with Solutions solved by some of the best Faculty Members associated with Vedantu. These RD Sharma Solutions for Class 11, with special reference to Ex. 23.12 of Chapter 23, have been explained in an extremely concise and clear manner, which students will be able to relate to and understand properly.

2. Why are only RD Sharma Solutions Recommended for Class 11 Students?

RD Sharma Solutions offer well-researched and well-advised Solutions, making it easier and interesting for students. The Solutions help students to get their doubts cleared easily, which is important for students to be able to secure good marks.  The given solutions enhance the students’ understanding capabilities and other problem-solving skills, thereby providing children with a renewed vigour and boost of confidence. RD Sharma Solutions for Class 11 students helps children prepare for the Board examinations in an organized and disciplined manner.

3. What is the concept of a Straight Line, concepts of Slopes, of Angles between two lines, of the distance between Two Lines?

In simple words, a Straight Line can be described as the shortest distance between two given points. However, this definition is definitely not enough. Elaborate notes, concepts, and topics are required to understand at length the meaning of a Straight Line. When understanding the concept of a Straight Line, we will also need to have a clear understanding of the different types of Straight Lines and the related definitions and equations. Hence, a detailed study is recommended, which is all clearly explained in the Class 11 Mathematics syllabus.

4. What is Vedantu and why is it Recommended for students?

Vedantu is an online educational portal, Vedantu.com, which offers students various online courses, research, and study materials for various examinations, for the school, college, and other higher-level examinations. Vedantu offers students the free  PDF download of the very popular RD Sharma Solutions for Class 11 Maths chapter on The Straight Lines of Chapter 23,  in the Ex.23.12. These Solutions have helped a lot of students achieve success over the past few years, and are still a sought-after study material for school students today.

5. How Can we Secure Good Marks in Classes 11?

In order to secure good marks in Class 11, and then in the final Board examinations of Class 12, practice is the most important and essential aspect. In order to be able to practice well, taking help from outside textbook study and research materials are often helpful. In this regard, Vedantu.com offers students with PDF Free downloads for  RD Sharma Class 11 Solutions on The Straight Line which is in Chapter 23, Ex.23.12. These Solutions with proper explanations play a vital role in enabling students to secure good marks in the Class 11 Board Examinations.