Complex Numbers Class 11 For Live Classes, Concept Videos, Quizzes, Mock Tests & Revision Notes please see our Website/App: Our Website: Android App: CBSE Class 11 Courses: CBSE Class 10 Courses: CBSE Class 9 Courses: CBSE Class 8 Courses: ICSE Class 10 Courses: ICSE Class 9 Courses: ICSE Class 8 Courses: IGCSE Courses: Artificial Intelligence: Python Coding: Java Coding: Facebook page: Complex numbers are numbers that consist of two parts: a real part and an imaginary part. They are expressed in the form: z = a + bi where: a is the real part, b is the imaginary part, and i is the imaginary unit, defined as i^2 = -1. Examples 1. 3 + 4i: 3 is the real part, and 4i is the imaginary part. 2. 5: This is a purely real number (b = 0). 3. 7i: This is a purely imaginary number (a = 0). Key Features - Complex numbers can be visualized on the complex plane, where the horizontal axis represents the real part and the vertical axis represents the imaginary part. - The magnitude (or modulus) of a complex number z = a + bi is given by: |z| = √{a^2 + b^2} - The argument (angle) of z is the angle it makes with the positive real axis, measured counterclockwise. At Manocha Academy, learning Science and Math is Easy! The school coursework is explained with simple examples that you experience every day! Yes, Science & Math is all around you! Let's learn every day from everyday life!