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Solutions for CBSE Class 11 Maths Chapter 13 - Complex Numbers (By RD Sharma)

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Last updated date: 23rd May 2024
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Solutions for Class 11 Maths Chapter 13 by RD Sharma- Free PDF Download

Solutions for Class 11 mathematics chapter 13 “Complex numbers” by RD Sharma are available at Vedantu solved by expert and knowledgeable teachers as per the latest  NCERT Book and CBSE Board syllabus and guidelines. ‘Complex numbers’ is the thirteenth chapter in the CBSE Mathematics textbooks for class 11 students. ‘Complex numbers’ chapter is explained majorly related to complex numbers. This concept is clearly explained in the given PDF. This solution PDF contains exercise-wise solutions to help students understand the concepts clearly from the final exam point of view. These solutions are prepared by professional teachers at Vedantu. Students are suggested to Download our free PDF of RD Sharma Solutions of Class 11 Maths Chapter 13 as the best reference material that helps them to score more marks in their exams. 

Question: How can we download Solutions for Class 11 mathematics chapter 13 “Complex numbers”  by RD Sharma?

Answer: Students can download theSolutions for Class 11 mathematics chapter 13 “Complex numbers” by RD Sharma from Vedantu.com.

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Introduction to Class 11 RD Sharma Textbook Solutions Chapter 13 - Complex Numbers

We have provided detailed and simple solutions for all exercise questions given in the pdf of Class 11 RD Sharma Chapter 13 “Complex Numbers”. All these Exercise questions with solutions in Chapter 13 “Complex Numbers” are given below:

A complex number is defined as the combination of both real numbers and imaginary numbers. Complex numbers are the numbers which are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number. Each concept of complex number is explained with the help of examples with elaborated explanations. There are various other important concepts covered in this chapter such as imaginary quantities, equality, Integral powers of IOTA, addition, subtraction, multiplication, division and modulus of complex numbers.

Conclusion

Students who find difficulty in solving problems can quickly refer to RD Sharma Class 11 Chapter 13 Solutions. Students can download the PDF from the links and start practising offline for good results. Complex numbers are used in various fields, for example it is used to describe the electromagnetic fields and waves that allow your cell phone to operate. RD Sharma Class 11 Solutions Chapter 13 help to define the fundamental particles of our universe, such as the electron and proton. The solutions are provided in an organised chapter-wise format and are further separated on the basis of exercises, making it extremely easy for students to navigate and select any particular topic for which the solution is required.

FAQs on Solutions for CBSE Class 11 Maths Chapter 13 - Complex Numbers (By RD Sharma)

1. Why Students prefer RD Sharma Solutions provided by Vedantu?

The questions and doubts of RD Sharma are solved in an easy and quick manner in the solutions. In this book, students can get their solutions for all RD Sharma Class 11 Mathematics questions chapter-wise. students are suggested to refer to the RD Sharma solutions on Vedantu which is available for free in a PDF format from the provided link. With the help of this RD Sharma's solutions pdf, students will be able to understand the important formulas in a simple way. 

2. Are all Real Numbers Complex Numbers?

No, all the real numbers are not complex numbers. If the given equation satisfies a condition, it will be considered as a complex number. As we have already discussed, a complex number has two parts, the imaginary part and the real part, that is,  z = x + iy. If we take y = 0, then z = x, it will be called a Purely Real Number. And if we take x = 0, then z = iy, it will be called a Purely Imaginary Number Thus, we can say that all the real numbers are also complex numbers if the imaginary part is zero.'Vedantu' provides free study materials which can be downloaded from the Vedantu  site and app.


3. What are the five main properties of complex numbers according to RD Sharma solutions for Class 11 Chapter 13 “Complex Numbers”?

In mathematics, properties are the qualities and characteristics of something that describes and identifies it. There are many properties of complex numbers. Five main properties are listed below:

  • If x and y are the real numbers and x+yi =0, then x =0 and y =0

  • If p, q, r, and s are the real numbers and p+qi = r+si, then p = r, and q=s

  • The multiplication of two conjugate complex number will also result in a real number

  • The addition of two conjugate complex numbers will result in a real number

  • The result of the multiplication of two complex numbers and its conjugate value should result in a complex number and it should be a positive value.

4. How to divide the complex numbers according to RD Sharma solutions for Class 11 Chapter 13 “Complex Numbers”?

According to RD Sharma Class 11 Solutions Chapter 13, it is very simple to divide the complex numbers. Follow these below steps to divide the complex numbers.

  •  The conjugate of the complex number can be found by changing the sign between the two terms in the denominator value. (A conjugate of a complex number is another complex number whose real part is the same as the original complex number)

  • To divide the complex number, multiply the numerator and the denominator by its conjugate. 

  • Then apply the FOIL method to simplify the expression.

5. Is There Any Other Study Material I Can Refer to for CBSE Class 11 Mathematics?

Students who are sincere at studies  are well aware of the RD Sharma Solutions as it is a most liked reference book for them. RD Sharma Class 11 Solutions Chapter 13 “Complex numbers” is also a very important pdf recommended which is prepared in accordance with the newest CBSE Syllabus. A collection of problems, solved examples and proper formulae will help the students to score high marks in their final board examinations. This set of solutions are provided on our vedantu site.