Modulus and conjugates problem (Hinglish) | Complex numbers | Grade 11 | Math | Khan Academy

From the creator

In this video, we'll tackle a challenging problem from the world of complex numbers. This problem will strengthen our expertise of modulus and conjugate of complex numbers. We'll first lay down the problem. Before the solution, we'll refresh our knowledge of modulus and conjugates (along with their properties). In solving the problem, we'll use several of these properties multiple times! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:complex-numbers-and-quadratic-equations-ncert-new/xea4762213f311c5e:the-modulus-and-conjugate-of-a-complex-number-ncert-new/e/absolute_value_of_complex_numbers) Timestamps: 00:00 Introduction - Defining a challenging problem 00:20 Laying out the strategy - using properties of complex numbers 00:38 Refresher on modulus and conjugate of a complex number 01:50 Refresher on the properties of modulus and conjugate 02:50 Solving the problem - step 1 - squaring the modulus 03:45 Solution step 2 - splitting the squared modulus 06:10 Making sense of the solution Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta

Published 2025-02-25 · Watch on YouTube ↗
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