NCERT Solutions for Class 11 Maths Exercise 4.1 Complex number and Quadratic equations in Hindi and English Medium for session 2023-24. The solutions for ex. 4.1 class 11th mathematics are revised and modified according to rationalised textbooks issued for academic year 2023-24 CBSE and state board students.
NCERT Solutions for Class 11 Maths Exercise 4.1
|Chapter: 4||Exercise: 4.1|
|Topic Name:||Complex number and Quadratic equations|
|Content Type:||Text, Videos and Images|
|Medium:||Hindi and English Medium|
About Exercise 4.1 of Class 11 Maths
Class 11 Mathematics Exercise 4.1 includes 14 questions based on fundamental of complex numbers. From the beginning of junior school, you have studied that there are different types of numbers. Out of which few are rational and other are irrational. Here, we will discuss about the square root of a negative number. We know that our known number system is too simple to include all the functions in it. In Exercise 4.1 we will study about the standard form of a complex number.
Standard form of a Complex number in Exercise 4.1
Reading the introduction 4.1 gave us the idea that a complex number is basically an element of a number system where 2 real number and one special character is used to denote an imaginary unit (i). This is expressed as a + ib. If you see the example number 1, you will find the easiest algebraic explanation of using the complex number in the equations. It is very easy to understand the fact and procedures of the chapter at 1st time it is totally fine.
Concept of Exercise 4.1 of 11th Maths
The Exercise 4.1 of NCERT Class XI Maths includes basic algebra. The chapter is interconnected with the concepts of algebra that you have studied in the previous classes. One of the myths is still among the student that complex number is entirely a different concept itself. If you are paying attention to polar form you would observe the similarities between coordinate geometry and algebra with complex numbers.
The basic laws of Complex Numbers
In 11th CBSE Maths paragraph 4.2 you will be able to see there are five important laws of complex number mentioned. Each of the laws has its significant importance. For instance – the sum of two complex numbers is a complex number. Students who are not well versed with the logic behind the algebraic expression and equations might find it obvious.
Similarly, there are four more such laws that shall help you to work with complex equations. We do not suggest you memorize the laws just because to find it more convenient. It will help you to solve the complete exercise 4.1 in easy steps.