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RS Aggarwal Class 11 Solutions Chapter-12 Geometrical Progression

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Last updated date: 17th Apr 2024
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Class 11 RS Aggarwal Chapter-12 Geometrical Progression Solutions - Free PDF Download

RS Aggarwal Solutions Class 11 Maths Chapter 12 PDF contains simple and accurate solutions to the different types of questions asked from the chapter. Students are familiar with the concepts of arithmetic progression and the concepts of geometric progressions builds just upon them. The chapter is a scoring one and is advisable to prepare this chapter well because it is part of Unit 2- Algebra which has the highest weightage in the examinations. The solutions in the Class 11 RS Aggarwal Solutions Ch 12 PDF are prepared by our subject experts at Vedantu. Students can use the RS Aggarwal Solutions Class 11 GP to clarify any doubts.

Competitive Exams after 12th Science

RS Aggarwal Class 11 Maths Geometrical Progression - Free PDF Download

To prepare your concepts of geometric progressions well, students can refer to the PDF. The chapter geometric progression tests the students understanding and application of concepts taught in the chapter. The concepts are discussed in depth while answering all the questions in the PDF to give an in-depth understanding of the same. Students should practice different types of question which will make them comfortable in solving questions during their examinations. Download RS Aggarwal Class 11 Maths Chapter 12 Solutions PDF here.


Geometric Progression

The general form of a geometric progression is -

a, ar, ar², ar³, …..arⁿ⁻¹, arⁿ⁻¹.

  • Common ratio : r = a2/a1 

  • The nth term of a GP: aₙ = arⁿ⁻¹

  • The sum of a GP: Sₙ = a(1 - rⁿ)/(1 - r)

Properties of Geometric Progression:

  • If each element of the geometric progression is multiplied or divided by a non-zero value, the resulting sequence is also a Geometric progression with the same common ratio.

  • The reciprocal of all the terms of a Geometric progression also form a geometric progression.

  • If all the elements of a geometric progression are raised by the same power, the resulting sequence is also in a GP.

  • If any three non zero terms fulfil the following criteria, then the three terms are in a GP

If y² = xz, then x, y and z are in a geometric progression.

Class 11 Maths Weightage Marks

Class 11 Mathematics exam is for 80 marks and the rest 20 marks are your internal assessment marks which depend upon your class participation and project works. To score well in the exam it is advisable to prepare each unit well and practice solving sample papers. Download RS Aggarwal solutions Class 11 Maths Chapter 12 PDF to clarify any doubts from the chapter- Geometric Progression. The types of questions asked in the examination and their weightage is given below:

  • Section A - 4 questions: Very Short Answer Type Questions X 1 mark each

  • Section B - 8 questions: Short Answer Type I Questions X 2 marks each

  • Section C - 11  questions:  Long Answer Type Questions I X 4 marks each

  • Section D - 6 questions: Long Answer Type Questions II X 6 marks each

The syllabus consists of a total of 16 chapters. These chapters are categorised into six units. The weightage of each unit is given below.

UNIT

TOPIC

WEIGHTAGE MARKS

UNIT 1

SETS AND FUNCTIONS

23

UNIT 2

ALGEBRA

30

UNIT 3

COORDINATE GEOMETRY

10

UNIT 4

CALCULUS

05

UNIT 5

MATHEMATICAL REASONING

02

UNIT 6

STATISTICS AND PROBABILITY

10



80


INTERNAL ASSESSMENT

20


TOTAL

100

Benefits of RS Aggarwal Class 11 Maths Chapter 12 Solutions PDF

RS Aggarwal Solutions Class 11 Maths Chapter 12 PDF consists of solutions of all the questions asked in the textbook. The PDF is also a good revision tool as it is well categorised, making it easy to use. Download RS Aggarwal Solutions Class 11 GP Solutions PDF to aid in your preparations for your final examinations.

Class 12 Board exams are set to be conducted from the month of May. The benefits of using RS Aggarwal Class 11 Maths Chapter 12 Solutions PDF are: 

  • The PDF is prepared by our subject experts at Vedantu with years of experience in teaching.

  • The solutions are prepared as per the CBSE guidelines which will help you in scoring well in your examinations. 

  • The PDF will help you in framing the answers correctly as the checking of papers is based upon step-marking.

  • The focus of the PDF is on improving the concepts of each chapter by providing in-depth explanations.

  • The answers are written in a simple manner to maximise the retention of information.

FAQs on RS Aggarwal Class 11 Solutions Chapter-12 Geometrical Progression

1. What are some of the basic formulas of Geometric Progressions?

Geometric progressions are a sequence of non-zero numbers in which the ratio between two consecutive terms remain the same. Each element of the sequence is obtained by multiplying the previous term with a constant term called Common ratio. 

The common ratio of a geometric progression is-

r = a2/a1

The formula for the nth term of a GP is:

aₙ = arⁿ⁻¹, where a is the first term of the GP and r is the common ratio.

The formula for the sum of a GP is:

Sₙ = a(1 - rⁿ)/(1 - r) , where a is the first term, r is the common ratio and n is the total number of terms.

2. What are the subtopics that are discussed in detail in the PDF?

The chapter covers a lot of concepts revolving around Geometric progressions. These include some basic concepts and some topics which are application-based. A geometric progression is a sequence of number where the ratio between two consecutive terms is similar. To obtain an in-depth understanding of each of the concept, download the free PDF here. 

The topics that are discussed in detail in the RS Aggarwal Class 11 Maths Geometrical Progression PDF are-

  • The general term of a GP.

  • Selection of terms of GP.

  • The Sum of a GP.

  • Sum of an infinite GP.

  • Properties of geometric progressions

  • Properties of arithmetic and geometric means

  • Insertion of geometric mean between two numbers

3. How many exercises are there in Chapter 12 of Class 11 RS Aggrawal solutions?

Chapter 12 of Class 11 mathematics from  RS Aggarwal consists of a total of 8 exercises comprising a total of 91 questions. The first Exercise 12A has a total of 18 questions that focus on solving different problems based on situations and different products in terms of a GP. The second and third exercises 12B and 12C contain questions that are based on teaching the students about finding a common ratio or the sum of certain terms of GP. The last few exercises focus on finding the common ratio and the number of terms etc. from the situational problems. 



4. What are the names of the chapters available in Class 11 RS Aggrawal?

RS Aggarwal for Class 11 Mathematics comprises a total of 31 chapters that cover all the concepts taught in the Class 11 NCERT textbook. These chapters help the students to better understand the chapters that are a part of their syllabus and also get a deeper understanding of them as the book goes into detail about certain topics. The following chapters are there in Class 11 RS Aggarwal textbook:

Chapter 1: Sets. 

Chapter 2: Relations. 

Chapter 3: Functions.

Chapter 4: Principle of Mathematical Induction.

Chapter 5: Complex Numbers and Quadratic Equations.

Chapter 6: Linear Inequations (In One Variable) 

Chapter 7: Linear Inequations (In Two Variables)

Chapter 8 Permutations

Chapter 9 Combinations

Chapter 10 Binomial Theorem

Chapter 11 Arithmetic Progression

Chapter 12 Geometrical Progression

Chapter 13 Some Special Series

Chapter 14 Measurement Of Angles

Chapter 15 Trigonometric Or Circular Functions

Chapter 16 Conditional Identities Involving The Angles Of A Triangle

Chapter 17 Trigonometric Equations

Chapter 18 Solution Of Triangles

Chapter 19 Graphs Of Trigonometric

Chapter 20 Straight Lines

Chapter 21 Circle

Chapter 22 Parabola

Chapter 23 Ellipse

Chapter 24 Hyperbola

Chapter 25 Applications Of Conic Sections

Chapter 26 Three Dimensional Geometry

Chapter 27 Limits

Chapter 28 Differentiation

Chapter 29 Mathematical Reasoning

Chapter 30 Statistics

Chapter 31 Probability



5. How can I download the Class 11 solutions for RS Aggrawal Chapter 12?

To download the Class 11 solutions for Chapter 12 Geometric Progressions from RS Aggarwal, students should access the Vedantu website or the app. Vedantu provides students with the best free-of-cost study materials that they can avail themselves of and use online or offline at their convenience. These solutions by Vedantu are put together by subject experts who formulate them to suit the students. After opening the Vedantu website, students can open the RS Aggarwal solutions by clicking on the Class 11 tab under RS Aggarwal beneath the ‘Solutions for popular reference books’ tab.