https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/v/absolute-value-of-a-complex-number 2021-06-14T16:27:49Z सम्मिश्र संख्या का मापांक (Absolute value (Modulus) of complex numbers) Sal finds the absolute value of (3-4i). Sal Khan video https://cdn.kastatic.org/googleusercontent/eUsJi5lrcndSRNvZaT1KCC49L2SpdVo7w9LfSEaGFf_GCy230EIF-7a9xTwPYTJ-IpZ8quFkQ3BeFUUesxifXeI सम्मिश्र संख्या का मापांक (Absolute value (Modulus) of complex numbers) Sal finds the absolute value of (3-4i). https://cdn.kastatic.org/ka-youtube-converted/wSF3M1vp-ow.mp4/wSF3M1vp-ow.mp4 213 एक सम्मिश्र संख्या का मापांक और संयुग्मी (The modulus and conjugate of a complex number) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/e/absolute_value_of_complex_numbers 2025-03-24T05:52:22.847271672Z सम्मिश्र संख्याओं का मापांक (निरपेक्ष मान) a+bi के रूप में एक सम्मिश्र संख्या दी गई है उसका मापांक (जिसे उसका निरपेक्ष मान भी कहा जाता है) ज्ञात करें| Michal Pokorny exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/v/complex-conjugates 2025-02-03T14:16:00.002891013Z सम्मिश्र संख्या के संयुग्मी का परिचय (Intro to complex number conjugates) Learn about the conjugate of complex numbers, how to add and divide using conjugates, and the key property that multiplying a complex number by its conjugate produces a real number. Conjugates are very useful for simplifying division of complex numbers. Sal Khan video https://cdn.kastatic.org/googleusercontent/Tmb35ZhUVBBiH0buNUaix7B4rmkRaofA6sbc3FCCgOtdLqJJRQbA9pjtZNOTBuO3hz_yHE2lr9ijONgQGIkHEIc- सम्मिश्र संख्या के संयुग्मी का परिचय (Intro to complex number conjugates) Learn about the conjugate of complex numbers, how to add and divide using conjugates, and the key property that multiplying a complex number by its conjugate produces a real number. Conjugates are very useful for simplifying division of complex numbers. https://cdn.kastatic.org/ka-youtube-converted/pCJyz3RDgqo.mp4/pCJyz3RDgqo.mp4 483 एक सम्मिश्र संख्या का मापांक और संयुग्मी (The modulus and conjugate of a complex number) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/v/complex-conjugates-example 2025-02-03T14:16:00.002891013Z सम्मिश्र संख्याओं के संयुग्मी (Complex number conjugates) Through a guided example with 7 - 5i, this video explains how to find the conjugate of a complex number, which is simply changing the sign of the imaginary part. Multiplying a complex number by its conjugate results in a real number. This is useful for simplifying complex numbers and is similar to the difference of squares. Sal Khan video https://cdn.kastatic.org/googleusercontent/v3PFAYy3GEGtzKvQYmUn8Utca1REhVtAR_YGNYZa2A82SbS3qgZsC46NI4DlgCBX8VQCvB6UYGzVUPIdf6C5KCgK सम्मिश्र संख्याओं के संयुग्मी (Complex number conjugates) Through a guided example with 7 - 5i, this video explains how to find the conjugate of a complex number, which is simply changing the sign of the imaginary part. Multiplying a complex number by its conjugate results in a real number. This is useful for simplifying complex numbers and is similar to the difference of squares. https://cdn.kastatic.org/ka-youtube-converted/eEG02fRvEDU.mp4/eEG02fRvEDU.mp4 241 एक सम्मिश्र संख्या का मापांक और संयुग्मी (The modulus and conjugate of a complex number) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/v/properties-of-modulus-and-conjugates 2025-03-24T05:52:22.847271672Z मापांक तथा संयुग्मी के गुणधर्म (Properties of modulus and conjugates) In this video, we'll cover the modulus and the conjugate of a complex number. We'll first try to visualise both before defining them. We'll then look at properties of adding, subtracting, multiplying, and dividing modulus and conjugates of two complex numbers. We'll try to prove some of these results. We'll finally look at an interesting application of these properties - finding the multiplicative inverse of a complex number. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw मापांक तथा संयुग्मी के गुणधर्म (Properties of modulus and conjugates) In this video, we'll cover the modulus and the conjugate of a complex number. We'll first try to visualise both before defining them. We'll then look at properties of adding, subtracting, multiplying, and dividing modulus and conjugates of two complex numbers. We'll try to prove some of these results. We'll finally look at an interesting application of these properties - finding the multiplicative inverse of a complex number. https://cdn.kastatic.org/ka-youtube-converted/jtdabI6aZEA.mp4/jtdabI6aZEA.mp4 583 एक सम्मिश्र संख्या का मापांक और संयुग्मी (The modulus and conjugate of a complex number) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/e/find-conjugates-of-complex-numbers 2025-03-24T05:52:22.847271672Z सम्मिश्र संख्याओं के संयुग्मी (Complex number conjugates) दी हुई सम्मिश्र संख्या (complex number) के संयुग्मी (conjugate) को ज्ञात कीजिए या उसे सम्मिश्र तल (complex plane) पर आलेखित कीजिए। Sulinya Ramanan exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/v/modulus-and-conjugates-challenge-problem 2025-06-25T04:36:24.163902917Z मापांक तथा संयुग्मी चुनौतीपूर्ण प्रश्न 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! Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw मापांक तथा संयुग्मी चुनौतीपूर्ण प्रश्न 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! https://cdn.kastatic.org/ka-youtube-converted/-fCeBg-bzVc.mp4/-fCeBg-bzVc.mp4 436 एक सम्मिश्र संख्या का मापांक और संयुग्मी (The modulus and conjugate of a complex number) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/v/solving-exponential-equations-involving-powers-of-i 2025-06-25T04:36:24.163902917Z i की घातों वाले घतान्कीय समीकरणों को हल करना In this video, we solve two problems that hasve exponential equations involving powers of i. In the first problem, we're given that an expression raised to the power m is equal ot 1. We need to find the least positive integral value of m. In the second problem, a complex expression is raised to the power of x and we need to find the number of non-zero integral solutions. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw i की घातों वाले घतान्कीय समीकरणों को हल करना In this video, we solve two problems that hasve exponential equations involving powers of i. In the first problem, we're given that an expression raised to the power m is equal ot 1. We need to find the least positive integral value of m. In the second problem, a complex expression is raised to the power of x and we need to find the number of non-zero integral solutions. https://cdn.kastatic.org/ka-youtube-converted/awQxVUwzc2Y.mp4/awQxVUwzc2Y.mp4 232 एक सम्मिश्र संख्या का मापांक और संयुग्मी (The modulus and conjugate of a complex number) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/v/finding-modulus-of-complex-expressions 2025-06-25T04:36:24.163902917Z सम्मिश्र व्यंजकों का मापांक ज्ञात करना In this video, we solve four questions where we have to find the modulus of a complex expression. The general approach for these problems is to take apart the real and imaginary part of the expression first. Then square them and add them. And finally, take the square root. When we have complex numbers in the denominators, we have to rationalise the expression. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw सम्मिश्र व्यंजकों का मापांक ज्ञात करना In this video, we solve four questions where we have to find the modulus of a complex expression. The general approach for these problems is to take apart the real and imaginary part of the expression first. Then square them and add them. And finally, take the square root. When we have complex numbers in the denominators, we have to rationalise the expression. https://cdn.kastatic.org/ka-youtube-converted/t7iU_XZMwU8.mp4/t7iU_XZMwU8.mp4 497 एक सम्मिश्र संख्या का मापांक और संयुग्मी (The modulus and conjugate of a complex number) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/e/complex-numbers-powers-moduli-and-equations 2026-04-15T08:45:01.455622211Z सम्मिश्र संख्याएँ: घात, मापांक और समीकरण (Complex numbers: Powers, Moduli, and equations) सम्मिश्र संख्याएँ: घात, मापांक और समीकरण (Complex numbers: Powers, Moduli, and equations) Ashish Gupta exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:complex-numbers-and-quadratic-equations-ncert-new/x808831787a7b08a2:the-modulus-and-conjugate-of-a-complex-number-ncert-new/e/complex-numbers-mastering-the-modulus 2025-06-25T04:36:24.163902917Z सम्मिश्र संख्याएँ: मापांक ज्ञात करना सम्मिश्र संख्याएँ: मापांक ज्ञात करना Ashish Gupta exercise