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
Please refer to attached file for NCERT Class 11 Maths Complex Numbers And Quadratic Equations Questions
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| NCERT Class 11 Maths Sets Questions |
| NCERT Class 11 Maths Relations And Functions |
| NCERT Class 11 Maths Relations And Functions Questions |
| CBSE Class 11 Maths Trigonometric Functions |
| NCERT Class 11 Maths Trigonometric Functions |
| NCERT Class 11 Maths Trigonometric Functions Questions |
| NCERT Class 11 Maths Principle Of Mathematical Induction |
| NCERT Class 11 Maths Principle Of Mathematical Induction Questions |
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| NCERT Class 11 Maths Complex Numbers And Quadratic Equations |
| NCERT Class 11 Maths Complex Numbers And Quadratic Equations Questions |
| NCERT Class 11 Maths Linear Inequalities |
| NCERT Class 11 Maths Linear Inequalities Questions |
| NCERT Class 11 Maths Permutations And Combinations |
| NCERT Class 11 Maths Permutations And Combinations Questions |
| NCERT Class 11 Maths Binomial Theorem |
| NCERT Class 11 Maths Binomial Theorem Questions |
| CBSE Class 11 Maths Sequence and Series |
| NCERT Class 11 Maths Sequences And Series |
| NCERT Class 11 Maths Sequences And Series Questions |
| CBSE Class 11 Maths Straight Line |
| NCERT Class 11 Maths Straight Lines |
| NCERT Class 11 Maths Straight Lines Questions |
| NCERT Class 11 Maths Conic Sections |
| NCERT Class 11 Maths Conic Sections Questions |
| NCERT Class 11 Maths Introduction To Three Dimensional Geometry |
| NCERT Class 11 Maths Introduction To Three Dimensional Geometry Questions |
| CBSE Class 11 Maths Limit and Derivatives |
| NCERT Class 11 Maths Limits And Derivatives |
| NCERT Class 11 Maths Limits And Derivatives Questions |
| NCERT Class 11 Maths Mathematical Reasoning |
| NCERT Class 11 Maths Mathematical Reasoning Questions |
| NCERT Class 11 Maths Statistics |
| NCERT Class 11 Maths Statistics Questions |
| NCERT Class 11 Maths Probability |
| NCERT Class 11 Maths Probability Questions |
| NCERT Class 11 Maths Answers and Solutions |
| NCERT Class 11 Maths Answers and Solutions2 |
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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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You can download the NCERT Book for Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations for latest session from StudiesToday.com
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