NCERT Class 11 Maths Complex Numbers And Quadratic Equations Questions

Read and download NCERT Class 11 Maths Complex Numbers And Quadratic Equations Questions in NCERT book for Class 11 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 11 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 11 Mathematics to understand the answers of the exercise questions given at the end of this chapter

NCERT Book for Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations

Class 11 Mathematics students should refer to the following NCERT Book Chapter 5 Complex Numbers and Quadratic Equations in Class 11. This NCERT Book for Class 11 Mathematics will be very useful for exams and help you to score good marks

Chapter 5 Complex Numbers and Quadratic Equations NCERT Book Class 11

 

5.1 Overview
We know that the square of a real number is always non-negative e.g. (4)2 = 16 and (– 4)2 = 16. Therefore, square root of 16 is ± 4. What about the square root of a negative number? It is clear that a negative number can not have a real square root. So we need to extend the system of real numbers to a system in which we can find out the square roots of negative numbers. Euler (1707 - 1783) was the first mathematician to introduce the symbol i (iota) for positive square root of – 1 i.e., i = √−1 .

5.1.1 Imaginary numbers

Square root of a negative number is called an imaginary number., for example,

−9 = −1 9 = i3, −7 = −1 7 =i 7

5.1.2 Integral powers of i

       i = −1 , i 2 = – 1, i 3 = i 2 i = – i , i 4 = (i 2)2 = (–1)2 = 1.

To compute in for n > 4, we divide n by 4 and write it in the form n = 4m + r, where m is quotient and r is remainder (0 ≤ r ≤ 4)

Hence in = i4m+r = (i4)m . (i)r = (1)m (i)r = ir

For example, (i)39 = i 4 × 9 + 3 = (i4)9 . (i)3 = i3 = – i

and (i)–435 = i – (4 × 108 + 3) = (i)– (4 × 108) . (i)– 3

NCERT Class 11 Maths Complex Numbers And Quadratic Equations Questions

 

Please refer to attached file for NCERT Class 11 Maths Complex Numbers And Quadratic Equations Questions

z Appendix 1: Infinite Series
NCERT Class 11 Maths Infinite Series
z Appendix 2: Mathematical Modelling
NCERT Class 11 Maths Mathematical Modelling

Mathematics NCERT Book Class 11 Chapter 5 Complex Numbers and Quadratic Equations

The above NCERT Books for Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 5 Complex Numbers and Quadratic Equations Mathematics Class 11 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 5 Complex Numbers and Quadratic Equations NCERT etextbooks as the exams for Class 11 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 11 Chapter 5 Complex Numbers and Quadratic Equations book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 11 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 11 students.

NCERT Book Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations

The latest NCERT book for Chapter 5 Complex Numbers and Quadratic Equations pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations are designed to enhance the overall understanding of students. All Class 11 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 11 students. 

Chapter 5 Complex Numbers and Quadratic Equations NCERT Book Class 11 Mathematics

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Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations NCERT Book

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Class 11 Chapter 5 Complex Numbers and Quadratic Equations NCERT Book Mathematics

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