https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:set-theory/x09646558c1ff0797:relations/v/what-are-relations-1 2025-03-24T05:52:22.847271672Z संबंध क्या होते हैं? (What are relations?) Using what we know about ordered pairs, and cartesian product of sets, we finally define what a relation is between two sets. We use an example of two sets: one containing living beings and the other containing places to live. We then define terms related to relations: Domain (set of permissible values of input), Range (set of possible values of output) and Codomain (set of permissible values of output). We then touch upon the concept of image (elements from second set) and pre-image (elements from first set). We finally learn how to write relations in set-builder form and roster form. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw संबंध क्या होते हैं? (What are relations?) Using what we know about ordered pairs, and cartesian product of sets, we finally define what a relation is between two sets. We use an example of two sets: one containing living beings and the other containing places to live. We then define terms related to relations: Domain (set of permissible values of input), Range (set of possible values of output) and Codomain (set of permissible values of output). We then touch upon the concept of image (elements from second set) and pre-image (elements from first set). We finally learn how to write relations in set-builder form and roster form. https://cdn.kastatic.org/ka-youtube-converted/jRiA7FuG5ms.mp4/jRiA7FuG5ms.mp4 397 संबंध (Relations) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:relations-and-functions-ncert-new/x808831787a7b08a2:untitled-1222/v/finding-domain-and-range 2025-03-24T05:52:22.847271672Z प्रांत एवं परिसर ज्ञात करना (Finding Domain and Range) In this worked example, we find domain and range of a relation defined in the set builder form. An essential skill touched in this video is to know how to break down definitions of relations written in set-builder form. We show with an example the usefulness of realising domain and range visually before actually writing things down in roster form. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw प्रांत एवं परिसर ज्ञात करना (Finding Domain and Range) In this worked example, we find domain and range of a relation defined in the set builder form. An essential skill touched in this video is to know how to break down definitions of relations written in set-builder form. We show with an example the usefulness of realising domain and range visually before actually writing things down in roster form. https://cdn.kastatic.org/ka-youtube-converted/TZRZzU5aNcA.mp4/TZRZzU5aNcA.mp4 282 संबंध (Relations) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:set-theory/x09646558c1ff0797:relations/v/worked-example-finding-the-relation 2025-03-24T05:52:22.847271672Z उदाहरण - संबंध ज्ञात करना (Worked example - Finding the relation) How do we work backwards? Can we find the relation in set builder form if we're shown how the elements of both sets connect to each other? We're given a visual representation of the relation and we need to find the domain, range of the relation. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw उदाहरण - संबंध ज्ञात करना (Worked example - Finding the relation) How do we work backwards? Can we find the relation in set builder form if we're shown how the elements of both sets connect to each other? We're given a visual representation of the relation and we need to find the domain, range of the relation. https://cdn.kastatic.org/ka-youtube-converted/hqG4wjXWB-Q.mp4/hqG4wjXWB-Q.mp4 239 संबंध (Relations) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:relations-and-functions-ncert-new/x808831787a7b08a2:untitled-1222/v/total-number-of-possible-relations 2025-03-24T05:52:22.847271672Z संभव संबंधों की कुल संख्या (Total number of possible relations) Given two sets, how do we find ALL possible relations? And when that's too time consuming, can we at least find the number of all possible relations? Let's find out in this video. We use some key principles from the topic - Permutations and Combinations (without actually getting into the terminologies) to navigate our way out of this problem. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw संभव संबंधों की कुल संख्या (Total number of possible relations) Given two sets, how do we find ALL possible relations? And when that's too time consuming, can we at least find the number of all possible relations? Let's find out in this video. We use some key principles from the topic - Permutations and Combinations (without actually getting into the terminologies) to navigate our way out of this problem. https://cdn.kastatic.org/ka-youtube-converted/GN6b58HB_C8.mp4/GN6b58HB_C8.mp4 402 संबंध (Relations) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:relations-and-functions-ncert-new/x808831787a7b08a2:untitled-1222/v/relations-and-functions 2021-02-15T05:25:15Z संबंध एवं फलन (Relations and functions) Learn to determine if a relation given by a set of ordered pairs is a function. Sal Khan video https://cdn.kastatic.org/googleusercontent/_QXa2dqNYNQ75UOKQ9lalz11LItO7kWgj6mKmI5-Y6VuzzRQgItN43D_HVLYTNTL7D_icdCyMGdWyFRqI61ftbeF संबंध एवं फलन (Relations and functions) Learn to determine if a relation given by a set of ordered pairs is a function. https://cdn.kastatic.org/ka-youtube-converted/QmbrMQLUCUY.mp4/QmbrMQLUCUY.mp4 417 संबंध (Relations) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:set-theory/x09646558c1ff0797:relations/e/relations 2026-04-08T08:46:38.570038857Z संबंध (Relations) रोस्टर रूप (roster form) में दो समुच्चयों के बीच संबंध (relation) ज्ञात करना और रोस्टर रूप से बीजगणितीय संबंध की पहचान करना। exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:relations-and-functions-ncert-new/x808831787a7b08a2:untitled-1222/e/domain-of-relations 2026-04-08T08:46:38.570038857Z संबंध का प्रांत (Domain of relations) प्रांत (domain) ज्ञात करना| exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:relations-and-functions-ncert-new/x808831787a7b08a2:untitled-1222/e/codomain-and-range-of-relations 2026-04-08T08:46:38.570038857Z संबंध (relations) का सह-प्रांत (Codomain) और परिसर (range) सह-प्रांत (codomain) और परिसर (range)| exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:relations-and-functions-ncert-new/x808831787a7b08a2:untitled-1222/e/domain-and-range-of-relations-infinite-sets 2025-03-24T05:52:22.847271672Z संबंध (relation) का प्रांत (Domain) और परिसर (range) (अपरिमित समुच्चय) प्रांत (domain) और परिसर (range) ज्ञात करना, जब संबंध (relation) किसी अपरिमित समुच्चय (infinite set) से अपरिमित समुच्चय में हो। exercise