Complex Numbers
Mathematics Solutions from Chapter -1 - Complex Numbers
In this chapter, we will discuss the algebra of two complex numbers. It explores square roots of a negative real number and identities of complex numbers. Argand plane and polar representation are also explained.
Practice Other Topics from Complex Numbers
In this topic, we will go through the basic concept of complex numbers. We will discuss their standard form, real and imaginary parts and equality. We will also explore the algebra of different complex numbers.
This topic highlights the properties of complex numbers. It teaches us about the closure property of complex numbers. Furthermore, it explains integral powers, additive identity, and multiplicative identity of a complex number.
In this topic, we will learn how to represent a complex number geometrically. We will also discuss what is the importance of geometrical representation of a complex number. It also explains the modulus, conjugate, and negative of a complex number.
Through this topic, we will learn how to operate addition, subtraction, multiplication, and division on complex numbers. We will also deal with some examples to explore the algebra related to complex numbers.
In this topic, we will read about the conjugate of a complex number. We will learn how to find it via some examples. In addition, we will discuss how to represent the conjugate of a complex number on a graph.
In this topic, we will get information about the absolute value of a complex number. We will further learn the formula to find out the absolute value of a complex number. Moreover, we will come across some solved examples for more details.
This topic explains the polar form of a complex number. It further describes the significance of representing a complex number in polar form. We will also learn how to write a complex number in polar form.
In this topic, we will discuss the amplitude of a given complex number. We will also study the methods on how to find it and go through some solved examples to learn to find the amplitude of a given number.
This topic explores the geometry and locus of a complex number. It discusses some figures made by applying some conditions on complex numbers. In addition, we will discuss their graphical representation in detail.
In this topic, we will learn about the cube roots of units. We will explore some properties of these roots. In addition, we will discuss how to find the cube roots of unity. It also covers some applications of this concept.
