RS Aggarwal Class 11 Solutions Chapter-20 Straight Lines

RS Aggarwal Solutions

RS Aggarwal Class 11 Solutions Chapter-20 Straight Lines

Class 11 RS Aggarwal Chapter-20 Straight Lines Solutions - Free PDF Download

RS Aggarwal Class 11 Straight Lines Solutions are beneficial for the students for exam preparation and revision. Class 11 CBSE Chapter 20 consists of straight lines. RS Aggarwal Solutions have detailed answers and properly solved examples for students. It has detailed chapter-wise solutions for exam points of view and also consists of previous years questions for the benefit of the students. The questions are given in RS Aggarwal Class 11 Chapter 20 solutions are following the new CBSE syllabus pattern, thus, they hold higher chances of appearing in CBSE question papers. The solutions also provide the students with the ability to try different types of questions easily.

Straight lines are a fairly important chapter of geometry for the students of Class 11. By solving the problems in RS Aggarwal, which is an advanced-level textbook, students are preparing themselves for competitive exams as well as school-level exams at the same time. However, it is advised to make sure that students are solving problems from their school textbook fIrst for their school examinations. RS Aggarwal serves as a good supplement to the learning process. Use the free solutions PDF and get an upper hand over everyone else with Vedantu.

Why RS Aggarwal Class 11 Chapter 20 Solutions?

RS Aggarwal Class 11 Chapter 20 Solutions, that is, the solutions of questions on straight lines have a lot of benefits which are as follows:

The solutions are prepared by experts after thorough research on the topic and going through several year’s question papers.
The explanations of the questions are easy and detailed so that students can understand different topics easily.
Explanations and questions are divided properly for each chapter along with a good number of solved examples so that students can understand different types of questions easily. The explanations are given also in an easy language to make the students familiar with difficult topics in a simple way.
RS Aggarwal encompasses all the important chapters of Class 11 Maths in an easy way.

Solved Examples

1. Find the Distance Between the Points:

i. A (2, -3) and B (-6, 3)

Ii. C (-1, -1) and D (8, 11)

iii. P (-8, -3) and Q (-2. -5)

iv. R and S having the points (a + b, a - b) and (a - b, a + b), respectively.

Solution: According to the formula, distance between the points A (x, y) and B (a, b) =

√ ((a - x)2 + (b - y)2)

i. Distance between A (2, -3) and B (-6, 3)

= √ ((-6 - 2)2 + (3 + 3)2)

= √ 100

= 10 units

Therefore, the distance between A and B is 10 units.

Ii. Distance between C and D having points (-1, -1) and (8, 11), respectively.

= √ ((8 + 1)2 + (11 + 1)2)

= √ 225

= 15 units

Therefore, the distance between points C and D is 15 units.

iii. Distance between P (-8, -3) and Q (-2. -5)

= √ ((-2 + 8)2 + (-5 + 3)2)

= √ 40

= 2 √ 10 units

Therefore, the distance between the points P and Q is 2√ 10 units.

iv. Distance between R (a + b, a - b) and S (a - b, a + b)

= √ ((a - b - a - b)2 + (a + b - a + b)2)

= 2b √ 2 units.

Therefore, the distance between the points R and S is 2b √ 2 units.

2. Show that the Following Points are the Vertices of an Isosceles Right-angled Triangle. A (7, 10), B (-2, 5) and C (3, -4)

Solution: Given, the three points are A, B, and C having coordinates (7, 10), (-2, 5), and (3, -4) respectively.

AB = √ (( -2 – 7 )2 + ( 5 – 10 )2)

= √106 units. ……… (1)

BC = √ (( 3 + 2 )2 + ( -4 – 5 )2)

= √106 units ……… (2)

AC = √ (( 3 – 7 )2 + ( -4 – 10 )2)

= √212 units. ……… (3)

From equations 1 and 2 we can see,

AB = BC…… (4)

Therefore, triangle ABC is an isosceles triangle.

Also, AB2 = 106

BC2 = 106

AC2 = 212

We can see that,

AB2 + BC2 = AC2 ……. (5)

It is a satisfying Pythagoras Theorem.

Therefore, triangle ABC is a right-angled triangle.

And from equation 4 and 5, we can say that

The triangle ABC is an isosceles right-angled triangle. Hence, proved.

FAQs on RS Aggarwal Class 11 Solutions Chapter-20 Straight Lines

1. Why practising RS Aggarwal class 11 chapter 20 solutions is vital?

Class 11 Maths Syllabus is essential for science students. They should read every chapter of the Class 11 Maths Syllabus thoroughly. After completing the chapters, they should practice various mathematical problems related to the topics. Class 11 Chapter 20 comes with an exercise of different Maths problems. The students should solve and practice them repeatedly after completing the syllabus. They can follow RS Aggarwal Class 11 Straight Lines Solutions of this exercise. It will be a great help if they get solved for the same. These solutions are prepared by expert Maths teachers. The students will get easy access to the chapter after practising the solutions. The problems are solved and explained in a simple and easy process.

2. How to download RS Aggarwal class 11 straight lines solutions?

After completing the entire Maths syllabus, students should focus on solving different mathematical problems. For Class 11 Chapter 20, the students should solve the exercise of the chapter and practice them repeatedly. RS Aggarwal Class 11 Straight Lines Solutions will make the exam preparation easy for them. The students will get help from the solutions for better revision. These solutions are available online in PDF format. The students can download the PDF file or go to the download link and download the solutions. RS Aggarwal Class 11 Chapter 20 solutions are available on different educational websites. The students should download them quickly and start preparing for their exams.

3. How many problems should I have to solve from the chapter of Straight lines from RS Aggarwal for class 11?

When it comes to solving the number of problems in mathematics, no one has a correct answer. One thing is very clear, the more one practices, the better they get at it. RS Aggarwal is a complex book that focuses on high-level problems. By solving these problems, students can get a fair idea of what competitive exams for students look like. Hence, the more high-level questions you attempt, the better your learning will become. Students can refer to the RS Aggarwal Class 11 Solutions Chapter 20 to get answers to all the questions given in the RS Aggarwal book for chapter 20.

4. What is the importance of the chapter Straight line in the JEE Mains and Advance Examinations?

Geometry is one of the most scoring areas in the JEE Mains and Advanced exams. Students must realize that all the chapters that fall in the category of geometry are interrelated and very important to score the best marks in their competitive examinations. By practising problems from the chapter of straight lines, concepts in the further chapters become simpler, and hence, students can form a strong base after solving problems from the chapter. Thus, it is an important chapter to prepare for the JEE Mains and Advance paper.