Skip to content
utopper
  • Free Study MaterialExpand
    • Ncert BooksExpand
      • Class 12 Ncert Books
      • Class 11 Ncert Books
      • Class 10 Ncert Books
      • Class 9 Ncert Books
      • Class 8 Ncert Books
      • Class 7 Ncert Books
      • Class 6 Ncert Books
      • Class 5 Ncert Books
      • Class 4 Ncert Books
      • Class 3 Ncert Books
      • Class 2 Ncert Books
      • Class 1 Ncert Books
    • Previous Year Question PapersExpand
      • Class 12
      • Class 10
      • JEE Main
      • JEE Advanced
      • NEET
    • CBSE Lab ManualExpand
      • Class 12 Lab Manual
      • Class 11 Lab Manual
      • Class 10 Lab Manual
      • Class 9 Lab Manual
    • CBSE Revision NotesExpand
      • Class 12 Notes
      • Class 11 Notes
      • Class 10 Notes
      • Class 9 Notes
      • Class 8 Notes
      • Class 7 Notes
      • Class 6 Notes
    • CBSE Important QuestionsExpand
      • Class 12 Questions
      • Class 11 Questions
      • Class 10 Questions
      • Class 9 Questions
      • Class 8 Questions
      • Class 7 Questions
      • Class 6 Questions
    • CBSE Sample PapersExpand
      • Class 9 Sample Paper
      • Class 8 Sample Paper
      • Class 7 Sample Paper
      • Class 6 Sample Paper
  • Reference Book SolutionsExpand
    • RD Shamra Solutions
    • RS Aggarwal Solutions
    • HC Verma Solutions
utopper

RS Aggarwal Class 11 Solutions Chapter 5

RS Aggarwal Solutions for Class 11 Chapter 5 – Complex Numbers and Quadratic Equations

RS Aggarwal Class 11 Solutions Chapter-wise – Free PDF Download

It is essential that you use RS Aggarwal Class 11 Chapter 5 Solutions if you have difficulty understanding this chapter. Quadratic equations are important not only for CBSE exams but also for entrance exams like BITSAT, JEE, NEET, IPU-CET, etc. In Chapter 5 of RS Aggarwal’s book, you’ll learn a little bit about things like doing math with complex numbers, finding the roots of quadratic equations, and figuring out what kind of equations they are.

There are about 142 questions in the 7 exercises in this chapter. These questions are about important things like the algebra of complex numbers, modulus, the conjugate of complex numbers, solving quadratic equations, etc. The RS Aggarwal Solutions book also goes into detail about the topics and shows how they are solved. You need to work on all of the chapter’s questions in order to do well on your tests and learn more about the chapter.

The Utopper team is here to assist you in any way they can in order to make the course material as simple as possible for you with free study materials like Revision notes, Important questions or many more. We have experts in the field who will answer all of your questions and help you understand them by giving you a full explanation for each one. Here is a short summary of the chapter to help you quickly go over its main ideas.

Click here to Buy Online The RS Aggarwal Class 10 Book Now

RS Aggarwal Class 11 Solutions Chapter 5 Complete PDF 

RS Aggarwal Class 11 Solutions Chapter 5

RS Aggarwal Class 11 Solutions Chapter 5 : Key Points

Quadratic Equation: A quadratic polynomial is a polynomial of the second degree. Cubic polynomials are those with a degree of three, and biquadratic polynomials are those with a degree of four. A quadratic equation is a quadratic polynomial f(x) that is equal to 0.

Roots of a Quadratic Equation:

  • What x’s values are.
  • The part of a quadratic equation that makes the equation true is called the root.
  • You will know how to find a quadratic equation in different ways:

 Factorization Method

  • Direct Formula
  • Nature of Roots
  • Conjugates Roots
  • Roots Under Particular Conditions
RS Aggarwal Class 11 Solutions

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 Equations in One Variable

Chapter 7: Linear Equations in Two Variable

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 Triangles

Chapter 17: Trigonometric Equations

Chapter 18: Solution of Triangles

Chapter 19: Graphs of Trigonometric Functions

Chapter 20: Straight Lines

Chapter 21: Circles

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

RS Aggarwal Solutions

RS Aggarwal Class 6 Solutions

RS Aggarwal Class 7 Solutions

RS Aggarwal Class 8 Solutions

RS Aggarwal Class 9 Solutions

RS Aggarwal Class 10 Solutions

RS Aggarwal Class 11 Solutions

RS Aggarwal Class 12 Solutions

Important Things to Keep in Mind

  • A complex number’s general form is: z = p+iq, where p is the real part and is written as Re z and q is the imaginary part and is written as Im z.
  • If the sum of two complex numbers is real and the product of those numbers is also real, then the numbers are said to be conjugate.
  • Any complex number, like a+ib, can be written as (a,b), where an is the real part of the number and b is the imaginary part.
  • A quadratic equation is any equation that has a variable with a degree of 2 or more.
  • The values of the variables in an equation that make it work are called its roots.
  • A problem of degree n has n roots, whether they are real or not.
  • If the coefficient of the highest degree term is positive, an odd-degree equation has at least one real root whose sign is the opposite of that of its last term (the constant term).
  • Every even-degree equation with a constant term that is negative and a positive coefficient at the highest degree has at least two real roots, one positive and one negative.
  • If there is only one change of sign in an equation, it only has one positive root.
  • If all of the terms in an equation are positive and the equation uses an odd power of x, then all of its roots are complex.
Discussion of RS Aggarwal Solutions for Class 11 Chapter 5 by Exercise

In this chapter, there are 7 exercises with a total of 142 questions. This means that there will be a lot of questions to help you practise and go over the ideas in the chapter.

  • In Exercise 1, you have to figure out the value of I in 15 questions.
  • In Exercise 2, there are 28 questions that ask you to simplify complex numbers, find their inverse, conjugate, and modulus, and find their inverse.
  • In Exercise 3, there are 12 questions about how to add and subtract complex numbers.
  • In the 24 questions in Exercise 4, you have to find the modulus and argument of the complex numbers given and write them in polar form.
  • Exercise 5 has 21 questions with quadratic equations that need to be solved.
  • In the 14 questions in Exercise 6, you have to figure out how to evaluate the complex numbers.
  • In Exercise 7, there are 28 very short answer questions. In this exercise, you are asked to evaluate complex numbers, write numbers as ai+b, write numbers in polar form, etc. 
rs aggarwal class 11 solutions

FAQ ( Frequently Asked Questions )

1. What are some important things that RS Aggarwal Class 11 Solutions Chapter 5 talks about?

Ans – In the RS Aggarwal Class 11 Solutions Chapter 5 Complex Numbers and Quadratic Equations, the following are the most important things that are talked about:

  • A complex number looks like this: z = p + iq, where p is the real part and is written as Re z and q is the imaginary part and is written as Im z.
  • If the sum and product of two complex numbers are both real, then the two numbers are real.
  • The quadratic equation is any equation that has a variable with a degree of 2 or more.
  • There are a total of n real or imaginary roots in an equation of degree n.
  • If the coefficient of the highest degree term is positive, an odd degree tends to have at least one real root whose sign is the opposite of that of its last term. This last term is also called the constant term.

2. What makes the RS Aggarwal Class 11 Solutions Chapter 5 Complex Numbers and Quadratic Equations a special book to use?

Ans – The RS Aggarwal Class 11 Solutions Chapter 5 Complex Numbers and Quadratic Equations is a special book to use because:

  • It has all the information you need to know before the tests or even when you are just practising.
  • It helps you figure out how to solve some difficult questions from exams like the JEE, which also helps you test yourself.
  • When you understand ideas in Class 11, you have a strong base that helps you learn better in Class 12. 
  • Facebook
  • Instagram
  • YouTube
  • LinkedIn
  • Telegram
  • Twitter

Mail : [email protected]
(Mon-Sun: 9am – 11pm IST )
—————————
PRIVACY POLICY
TERMS AND CONDITIONS
CONTACT US
DISCLAIMER

Shipping & Delivery Policy

NCERT

Quick Links

About Us

Contact Us

Utopper Blogs

CBSE

ICSE

Puzzle

IIT JEE

JEE Advanced

Download The APP Now

NCERT

NCERT Solutions

NCERT Solutions For Class 12

NCERT Solutions For Class 12 Maths

NCERT Solutions For Class 12 Physics

NCERT Solutions For Class 12 Chemistry

NCERT Solutions For Class 12 Biology

NCERT Solutions For Class 12 Business Studies

NCERT Solutions For Class 12 Economics

NCERT Solutions For Class 12 Accountancy

NCERT Solutions For Class 11

NCERT Solutions For Class 11 Maths

NCERT Solutions For Class 11 Physics

NCERT Solutions For Class 11 Chemistry

NCERT Solutions For Class 11 Biology

NCERT Solutions For Class 11 Business Studies

NCERT Solutions For Class 11 Economics

NCERT Solutions For Class 11 Accountancy

NCERT Solutions For Class 10

NCERT Solutions For Class 10 Maths

NCERT Solutions For Class 10 Science

NCERT Solutions For Class 10 English

NCERT Solutions For Class 10 Social Science

NCERT Solutions For Class 9

NCERT Solutions For Class 9 Maths

NCERT Solutions For Class 9 Science

NCERT Solutions For Class 9 English

NCERT Solutions For Class 9 Social Science

NCERT Solutions For Class 8

NCERT Solutions For Class 8 Maths

NCERT Solutions For Class 8 Science

NCERT Solutions For Class 8 English

NCERT Solutions For Class 8 Social Science


NCERT Books

NCERT Books For Class 12

NCERT Books For Class 11

NCERT Books For Class 10

NCERT Books For Class 9

NCERT Books For Class 8

NCERT Books For Class 7

NCERT Books For Class 6

NCERT Books For Class 5

NCERT Books For Class 4

NCERT Books For Class 3

NCERT Books For Class 2

NCERT Books For Class 1

NCERT Books Class 12

NCERT Books Class 12 Maths

NCERT Books Class 12 Physics

NCERT Books Class 12 Chemistry

NCERT Books Class 12 Biology

NCERT Books Class 12 Geography

NCERT Books Class 11

NCERT Books Class 11 Maths

NCERT Books Class 11 Physics

NCERT Books Class 11 Chemistry

NCERT Books Class 11 Biology

NCERT Books Class 11 Political Science

NCERT Books Class 10

NCERT Books Class 10 Maths

NCERT Books Class 10 Science

NCERT Books Class 10 English

NCERT Books Class 10 Hindi

NCERT Books Class 10 Sanskrit

NCERT Books Class 10 Social Science

NCERT Books Class 9

NCERT Books Class 9 Maths

NCERT Books Class 9 Science

NCERT Books Class 9 English

NCERT Books Class 9 Social Science

NCERT Books Class 8

NCERT Books Class 8 Maths

NCERT Books Class 8 Science

NCERT Books Class 8 English

NCERT Books Class 8 Hindi

NCERT Books Class 8 Sanskrit

NCERT Books Class 8 Social Science

NCERT Books Class 7

NCERT Books Class 7 Maths

NCERT Books Class 7 Science

NCERT Books Class 7 English

NCERT Books Class 7 Social Science

NCERT Books Class 6

NCERT Books Class 6 Maths

NCERT Books Class 6 Science

NCERT Books Class 6 English

NCERT Books Class 6 Hindi

NCERT Books Class 6 Sanskrit

NCERT Books Class 6 Social Science

NCERT Books Class 5

NCERT Books Class 5 Maths

NCERT Books Class 5 English

NCERT Books Class 5 Hindi

NCERT Books Class 5 EVS

NCERT Books Class 5 Aas Pass

NCERT Books Class 5 Ganit Ka Jadu

NCERT Books Class 4

NCERT Books Class 4 Maths

NCERT Books Class 4 English

NCERT Books Class 4 Hindi

NCERT Books Class 4 EVS

NCERT Books Class 4 Aas Pass

NCERT Books Class 4 Ganit Ka Jadu

NCERT Books Class 3

NCERT Books Class 3 Maths

NCERT Books Class 3 English

NCERT Books Class 3 Hindi

NCERT Books Class 3 EVS

NCERT Books Class 3 Aas Pass

NCERT Books Class 3 Ganit Ka Jadu


NCERT Books Class 2

NCERT Books Class 2 Maths

NCERT Books Class 2 English

NCERT Books Class 2 Hindi

NCERT Books Class 1

NCERT Books Class 1 Hindi

NCERT Books Class 1 Maths

NCERT Books Class 1 English

NCERT Exemplar

NCERT Exemplar Class 12

NCERT Exemplar Class 11

NCERT Exemplar Class 10

NCERT Exemplar Class 9

NCERT Exemplar Class 8

NCERT Exemplar Class 7

NCERT Exemplar Class 6

CBSE Important Questrion

Class 12 Important Question

Class 11 Important Question

Class 10 Important Question

Class 9 Important Question

Class 8 Important Question

Class 7 Important Question

Class 6 Important Question

Revision Notes

CBSE Class 12 Notes

CBSE Class 11 Notes

CBSE Class 10 Notes

CBSE Class 9 Notes

CBSE Class 8 Notes

CBSE Class 7 Notes

CBSE Class 6 Notes

CBSE

CBSE Syllabus

CBSE Sample Paper

CBSE Lab Manual

CBSE Topper Answer Sheet

Previous Year Question Papers Class 12

Previous Year Question Papers Class 10

REFERENCE BOOK SOLUTION

RS AGGARWAL SOLUTION

RD SHARMA SOLUTION

HC VERMA SOLUTION

STATE BOARD BOOKS

Tamilnadu Board

Karnataka Board

AP Board

MP Board

Gujarat Board

Punjab Board

Bihar Board

Odisha Board

Rajasthan Board

Chhattisgarh Board

WB Board

Maharashtra Board

ICSE Board

What Make UTOPPER Best In Digital Education

We Provide Digital video content from 6th to 10th in both English + Hindi language to School with upgraded ERP system with fully Scheduled Teaching plan. We Also Provide self-learning and self-guided Online learning course to the Students at home. It upgrades the intrigue levels and the maintenance intensity of the students. Critical concepts are also being developed and packaged using multimedia based digital solutions. We also provide marketing services to Schools, startups and small businesses looking for a partner for their digital media. We work with you, not for you.

We provide the Complete Yearly, Monthly , Day wise Teaching Plan to Teachers to save their time in thinking what to teach. Utopper has designed the Largest Content Portal that Contain NCERT Books , NCERT Solutions are available on Utopper.com. We serve the extraordinary adapting needs and examples of each child, with information to create the learning encounter and tweak therapeutic classes dependent on evaluation.

© 2023 Utopper.com

All Rights Reserved with Copyright & Registered TradeMarks
OWNED BY : GROWTH EDUCATION SOLUTIONS PRIVATE LIMITED

Download Class 12 Sample Paper Free

Enter your details below and direct download

Enter Name
Enter your email address
Enter Mobile Number
Enter your city name
Download Class 10 Sample Paper Free

Enter your details below and direct download

Enter Name
Enter your email address
Enter Mobile Number
Enter your city name
Scroll to top
  • Home
  • Free Study Material
    • Ncert Books
      • Class 12 Ncert Books
      • Class 11 Ncert Books
      • Class 10 Ncert Books
      • Class 9 Ncert Books
      • Class 8 Ncert Books
      • Class 7 Ncert Books
      • Class 6 Ncert Books
      • Class 5 Ncert Books
      • Class 4 Ncert Books
      • Class 3 Ncert Books
      • Class 2 Ncert Books
      • Class 1 Ncert Books
    • Previous Year Question Papers
      • Class 12
      • Class 10
      • JEE Main Question Papers
      • JEE Advanced Papers
      • NEET Question Papers
    • CBSE Lab Manual
      • Class 12 Lab Manual
      • Class 11 Lab Manual
      • Class 10 Lab Manual
      • Class 9 Lab Manual
    • CBSE Revision Notes
      • Class 12 Notes
      • Class 11 Notes
      • Class 10 Notes
      • Class 9 Notes
      • Class 8 Notes
      • Class 7 Notes
      • Class 6 Notes
    • CBSE Important Questions
      • Class 12 Important Questions
      • Class 11 Important Questions
      • Class 10 Important Questions
      • Class 9 Important Questions
      • Class 8 Important Questions
      • Class 7 Important Questions
      • Class 6 Important Questions
    • CBSE Sample Papers
      • Class 9 Sample Papers
      • Class 8 Sample Papers
      • Class 7 Sample Papers
      • Class 6 Sample Papers
  • Reference Book Solutions
    • RD Sharma Solutions
    • HC Verma Solutions
    • RS Aggarwal Solutions
  • State Board Books
    • Tamil Nadu State Board
    • Karnataka State Board
    • Andhra Pradesh Board
    • MP Board Books
    • Gujarat Board
    • Punjab Board
    • Chhattisgarh Board
    • Maharashtra State Board
    • Odisha Board
    • Bihar Board
    • West Bengal Board
    • CISCE
  • For Schools