Here you will learn what is the polar form of complex numbers with examples. Let’s begin – Polar Form of Complex Numbers Let z = x + iy be a complex number represented by a point P(x, y) in the argand plane. Then by the geometrical representation of z = x + iy, we have …
Here you will learn how to find argument or amplitude of a complex number with examples. Let’s begin – Amplitude of a Complex Number (Argument of Complex Number) Let z = x + iy, Then, The angle \(\theta\) which OP makes with the positive direction of x-axis in anticlockwise sense is called the argument or …
Here you will learn what is square root and how to find square root of complex number with examples. Let’s begin – How to Find Square Root of Complex Number Let a + ib be a complex number such that \(\sqrt{a + ib}\) = x + iy, where x and y are real numbers. Then, …
Here you will learn how to find the reciprocal of a complex number with examples. Let’s begin – How to Find the Reciprocal of a Complex Number The reciprocal is also called multiplicative inverse. Let z = a + ib be a non-zero complex number. Then \(1\over z\) = \(1\over a + ib\) Multiply numerator …
Here you will learn how to find the modulus of a complex number and properties of modulus with examples. Let’s begin – How to Find the Modulus of a Complex Number The modulus of a complex number z = a + ib is denoted by | z | and is defined as | z | …
Here you will learn how to find the conjugate of a complex number and properties of conjugate with examples. Let’s begin – How to Find the Conjugate of a Complex Number Let z = a + ib be a complex number. Then the conjugate of z is denoted by \(\bar{z}\) and is equal to a …
Here you will learn what is the division of complex numbers with examples. Let’s begin – Division of Complex Numbers The division of a complex number \(z_1\) by a non-zero complex number \(z_2\) is defined as the multiplication of \(z_1\) by the multiplicative inverse of \(z_2\) and is denoted by \(z_1\over z_2\). Thus, \(z_1\over z_2\) …
Here you will learn multiplication of complex numbers and its properties with examples. Let’s begin – Multiplication of Complex Numbers Let \(z_1\) = \(a_1 + ib_1\) and \(z_2\) = \(a_2 + ib_2\) be two complex numbers. Then the multiplication of \(z_1\) with \(z_2\) is denoted by \(z_1 z_2\) and is defined as the complex number …
Multiplication of Complex Numbers – Properties and Examples Read More »
Here you will learn subtraction and addition of complex numbers and its properties with examples. Let’s begin – Addition of Complex Numbers Let \(z_1\) = \(a_1 + ib_1\) and \(z_2\) = \(a_2 + ib_2\) be two complex numbers. Then their sum \(z_1 + z_2\) is defined as the complex number \((a_1 + a_2)\) + i\((b_1 …
Addition of Complex Numbers – Properties and Examples Read More »
Here you will learn what is the complex number class 11 and equality of complex numbers with examples. Let’s begin – Complex Number Class 11 If a, b are two real numbers, then a number of the form a + ib is called aa complex number. Example : 7 + 2i, -1 + i, 3 …
