A complex number is a blend of a real number and an imaginary number. This chapter covers topics related to a complex number, along with certain examples. Students are given many exercises and solutions to help them understand the principles clearly from an exam perspective.
The chapter kicks off by explaining IOTA (i) 's Integral Powers. Then, the chapter introduces the concept of imaginary numbers to the students, and the numbers formed by combining a real part and an imaginary part referred to as complex numbers. Further, it includes Complex number equality and Complex number addition. The additional properties of complex numbers and addition and subtraction of complex numbers are taught in the chapter. Furthermore, the chapter explains complex number multiplication, multiplication properties, division of Complex numbers, and complex number conjugate.
Other important topics like a complex number's modulus, Modulus properties, a complex number that is reciprocal, a complex number's square roots, a complex number's representation, and a complex number's geometrical representation are explained thoroughly. Moreover, for various signs of real and imaginary components, the argument or amplitude of a complex number and the polar shape of a complex number, a complex number's vectorial representation, a complex number in its polar or trigonometrical shape, IOTA multiplication of a complex number are also taught to the scholars through various examples.
Experts have also crafted ideas with detailed explanations of principles and can help students prepare for their board exams. Students who encounter confusion while solving problems should refer to Aakash Institute's RD Sharma Class 11 Maths Solutions.
There are four exercises in Chapter 13 – Complex Numbers, and the RD Sharma Solutions offers answers and a procedural pathway for all the questions in each exercise.