Open App

JEE Exam > JEE Videos > Mathematics (Maths) for JEE Main & Advanced > Basics of Complex numbers

Basics of Complex numbers Video Lecture | Mathematics (Maths) for JEE Main & Advanced

Q: 3. What is the conjugate of a complex number?

Ans. The conjugate of a complex number 'a + bi' is obtained by changing the sign of the imaginary part. In other words, the conjugate of 'a + bi' is 'a - bi'. The conjugate of a complex number has the same real part but the opposite sign for the imaginary part.

FAQs on Basics of Complex numbers Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What are complex numbers?

Ans. Complex numbers are numbers that consist of two parts - a real part and an imaginary part. They are written in the form "a + bi", where "a" represents the real part, "b" represents the imaginary part, and "i" represents the imaginary unit.

2. How are complex numbers represented on a coordinate plane?

Ans. Complex numbers are often represented on a coordinate plane called the complex plane. The real part of the complex number is plotted on the horizontal axis, and the imaginary part is plotted on the vertical axis. The complex number "a + bi" is then represented as the point (a, b) on the complex plane.

3. What is the conjugate of a complex number?

Ans. The conjugate of a complex number "a + bi" is obtained by changing the sign of the imaginary part. In other words, the conjugate of "a + bi" is "a - bi". The conjugate of a complex number has the same real part but the opposite sign for the imaginary part.

4. How do you add and subtract complex numbers?

Ans. To add or subtract complex numbers, simply add or subtract the real parts separately and the imaginary parts separately. For example, to add "a + bi" and "c + di", add the real parts (a + c) and the imaginary parts (b + d) to get the sum. Similarly, for subtraction, subtract the real parts and the imaginary parts.

5. How do you multiply complex numbers?

Ans. To multiply complex numbers, you can use the distributive property and the fact that "i^2 = -1". Multiply the real parts together, multiply the imaginary parts together, and then combine them. For example, to multiply "a + bi" and "c + di", multiply ac as the real part, bd as the imaginary part, and ad + bc as the cross-product.

About this Video

5.2K Views

4.93/5 Rating

Sep 21, 2025 Last updated

Related Exams

JEE Year 12 Grade 11 NDA Grade 9 Grade 10 Commerce Humanities/Arts Class 11 PAT

Video Description: Basics of Complex numbers for JEE 2025 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The notes and questions for Basics of Complex numbers have been prepared according to the JEE exam syllabus. Information about Basics of Complex numbers covers all important topics for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Basics of Complex numbers.

Introduction of Basics of Complex numbers in English is available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Basics of Complex numbers in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free.

Description

Video Lecture & Questions for Basics of Complex numbers Video Lecture | Mathematics (Maths) for JEE Main & Advanced - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) for JEE Main & Advanced.

Information about Basics of Complex numbers

Here you can find the meaning of Basics of Complex numbers defined & explained in the simplest way possible. Besides explaining types of Basics of Complex numbers theory, EduRev gives you an ample number of questions to practice Basics of Complex numbers tests, examples and also practice JEE tests.

	Mathematics (Maths) for JEE Main & Advanced 172 videos\|476 docs\|154 tests

Mathematics (Maths) for JEE Main & Advanced

172 videos|476 docs|154 tests

Join Course for Free

Explore Courses for JEE exam

Semester Notes

mock tests for examination

shortcuts and tricks