{"id":3055,"date":"2025-06-05T09:40:38","date_gmt":"2025-06-05T09:40:38","guid":{"rendered":"https:\/\/diznr.com\/?p=3055"},"modified":"2025-06-05T09:40:38","modified_gmt":"2025-06-05T09:40:38","slug":"previous-year-question-papers-gate-in-hindi-gate-1998-relation-the-binary-relation-r","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/previous-year-question-papers-gate-in-hindi-gate-1998-relation-the-binary-relation-r\/","title":{"rendered":"previous year question papers gate in Hindi &#8211; GATE 1998 Relation The binary relation R."},"content":{"rendered":"<p>previous year question papers gate in Hindi &#8211; GATE 1998 Relation The binary relation R.<\/p>\n<p>[fvplayer id=&#8221;236&#8243;]<\/p>\n<p>GATE CSE 1998 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u092a\u0924\u094d\u0930 \u092e\u0947\u0902 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928 \u0925\u093e \u091c\u094b \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 (Binary Relation) \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0925\u093e\u0964 \u092f\u0939 \u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u0914\u0930 \u090f\u0932\u094d\u091c\u0947\u092c\u094d\u0930\u093e (Set Theory &amp; Algebra) \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 \u0906\u0924\u093e \u0939\u0948\u0964<\/p>\n<hr \/>\n<h2>\ud83e\uddfe <strong>\u092a\u094d\u0930\u0936\u094d\u0928 \u0935\u093f\u0935\u0930\u0923:<\/strong><\/h2>\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> \u0938\u0947\u091f <span class=\"katex\">A={1,2,3,4}A = \\{1, 2, 3, 4\\}<\/span> \u092a\u0930 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 <span class=\"katex\">RR<\/span> \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u0948:<\/p>\n<p><span class=\"katex\">R={(1,1),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4)}R = \\{(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4)\\}<\/span><\/p>\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> \u0907\u0938 \u0930\u093f\u0932\u0947\u0936\u0928 <span class=\"katex\">RR<\/span> \u0915\u0940 \u0915\u094c\u0928-\u0915\u094c\u0928 \u0938\u0940 \u0917\u0941\u0923\u0927\u0930\u094d\u092e (properties) \u0938\u0924\u094d\u092f \u0939\u0948\u0902?<\/p>\n<p><strong>\u0935\u093f\u0915\u0932\u094d\u092a:<\/strong><br \/>\nA. Reflexive, Symmetric and Transitive<br \/>\nB. Neither Reflexive, nor Irreflexive but Transitive<br \/>\nC. Irreflexive, Symmetric and Transitive<br \/>\nD. Irreflexive and Antisymmetric<\/p>\n<hr \/>\n<h2>\ud83d\udd0d <strong>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923:<\/strong><\/h2>\n<h3>1. <strong>Reflexive (\u0938\u094d\u0935-\u0938\u092e\u094d\u092c\u0928\u094d\u0927\u0940):<\/strong><\/h3>\n<p>\u090f\u0915 \u0930\u093f\u0932\u0947\u0936\u0928 \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0939\u094b\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u0938\u0947\u091f \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0924\u0924\u094d\u0935 <span class=\"katex\">aa<\/span> \u0915\u0947 \u0932\u093f\u090f <span class=\"katex\">(a,a)\u2208R(a,a) \\in R<\/span> \u0939\u094b\u0964<\/p>\n<ul>\n<li>\u092f\u0939\u093e\u0901 <span class=\"katex\">(1,1),(2,2),(3,3)(1,1), (2,2), (3,3)<\/span> \u092e\u094c\u091c\u0942\u0926 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 <span class=\"katex\">(4,4)(4,4)<\/span> \u0905\u0928\u0941\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964<\/li>\n<li>\u274c <strong>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong> \u0930\u093f\u0932\u0947\u0936\u0928 \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/li>\n<\/ul>\n<h3>2. <strong>Symmetric (\u0938\u092e\u092e\u093f\u0924):<\/strong><\/h3>\n<p>\u092f\u0926\u093f <span class=\"katex\">(a,b)\u2208R(a,b) \\in R<\/span> \u0939\u094b\u0928\u0947 \u092a\u0930 <span class=\"katex\">(b,a)\u2208R(b,a) \\in R<\/span> \u092d\u0940 \u0939\u094b, \u0924\u094b \u0930\u093f\u0932\u0947\u0936\u0928 \u0938\u092e\u092e\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<ul>\n<li>\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, <span class=\"katex\">(2,1)\u2208R(2,1) \\in R<\/span>, \u0932\u0947\u0915\u093f\u0928 <span class=\"katex\">(1,2)\u2209R(1,2) \\notin R<\/span>\u0964<\/li>\n<li>\u274c <strong>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong> \u0930\u093f\u0932\u0947\u0936\u0928 \u0938\u092e\u092e\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/li>\n<\/ul>\n<h3>3. <strong>Transitive (\u0938\u093e\u0902\u0915\u094d\u0930\u093e\u092e\u0915):<\/strong><\/h3>\n<p>\u092f\u0926\u093f <span class=\"katex\">(a,b)\u2208R(a,b) \\in R<\/span> \u0914\u0930 <span class=\"katex\">(b,c)\u2208R(b,c) \\in R<\/span> \u0939\u094b\u0928\u0947 \u092a\u0930 <span class=\"katex\">(a,c)\u2208R(a,c) \\in R<\/span> \u092d\u0940 \u0939\u094b, \u0924\u094b \u0930\u093f\u0932\u0947\u0936\u0928 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u091f\u093f\u0935 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<ul>\n<li>\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, <span class=\"katex\">(2,1)(2,1)<\/span> \u0914\u0930 <span class=\"katex\">(1,1)(1,1)<\/span> \u092e\u094c\u091c\u0942\u0926 \u0939\u0948\u0902, \u091c\u093f\u0938\u0938\u0947 <span class=\"katex\">(2,1)(2,1)<\/span> \u092a\u0939\u0932\u0947 \u0938\u0947 \u0939\u0940 \u092e\u094c\u091c\u0942\u0926 \u0939\u0948\u0964<\/li>\n<li>\u0905\u0928\u094d\u092f \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u0938\u0902\u092f\u094b\u091c\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u092d\u0940 \u092f\u0939 \u0917\u0941\u0923 \u0938\u0924\u094d\u092f \u092a\u094d\u0930\u0924\u0940\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<li>\u2705 <strong>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong> \u0930\u093f\u0932\u0947\u0936\u0928 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u091f\u093f\u0935 \u0939\u0948\u0964<\/li>\n<\/ul>\n<h3>4. <strong>Irreflexive (\u0905\u0938\u094d\u0935-\u0938\u092e\u094d\u092c\u0928\u094d\u0927\u0940):<\/strong><\/h3>\n<p>\u092f\u0926\u093f \u0938\u0947\u091f \u0915\u0947 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0924\u0924\u094d\u0935 <span class=\"katex\">aa<\/span> \u0915\u0947 \u0932\u093f\u090f <span class=\"katex\">(a,a)\u2209R(a,a) \\notin R<\/span> \u0939\u094b, \u0924\u094b \u0930\u093f\u0932\u0947\u0936\u0928 \u0907\u0930\u094d\u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<ul>\n<li>\u092f\u0939\u093e\u0901 <span class=\"katex\">(1,1),(2,2),(3,3)(1,1), (2,2), (3,3)<\/span> \u092e\u094c\u091c\u0942\u0926 \u0939\u0948\u0902\u0964<\/li>\n<li>\u274c <strong>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong> \u0930\u093f\u0932\u0947\u0936\u0928 \u0907\u0930\u094d\u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/li>\n<\/ul>\n<h3>5. <strong>Antisymmetric (\u092a\u094d\u0930\u0924\u093f\u0938\u092e\u092e\u093f\u0924):<\/strong><\/h3>\n<p>\u092f\u0926\u093f <span class=\"katex\">(a,b)\u2208R(a,b) \\in R<\/span> \u0914\u0930 <span class=\"katex\">(b,a)\u2208R(b,a) \\in R<\/span> \u0939\u094b\u0928\u0947 \u092a\u0930 <span class=\"katex\">a=ba = b<\/span> \u0939\u094b, \u0924\u094b \u0930\u093f\u0932\u0947\u0936\u0928 \u090f\u0902\u091f\u0940\u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<ul>\n<li>\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, <span class=\"katex\">(2,1)\u2208R(2,1) \\in R<\/span>, \u0932\u0947\u0915\u093f\u0928 <span class=\"katex\">(1,2)\u2209R(1,2) \\notin R<\/span>, \u0907\u0938\u0932\u093f\u090f \u092f\u0939 \u0917\u0941\u0923 \u0938\u0924\u094d\u092f \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/li>\n<li>\u0939\u093e\u0932\u093e\u0902\u0915\u093f, \u091a\u0942\u0902\u0915\u093f \u0938\u092e\u092e\u093f\u0924\u0924\u093e \u0928\u0939\u0940\u0902 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u090f\u0902\u091f\u0940\u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u092c\u0928\u0940 \u0930\u0939\u0924\u0940 \u0939\u0948\u0964<\/li>\n<li>\u2705 <strong>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong> \u0930\u093f\u0932\u0947\u0936\u0928 \u090f\u0902\u091f\u0940\u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<hr \/>\n<h2>\u2705 <strong>\u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930:<\/strong><\/h2>\n<p><strong>\u0935\u093f\u0915\u0932\u094d\u092a B:<\/strong> Neither Reflexive, nor Irreflexive but Transitive<\/p>\n<hr \/>\n<h2>\ud83d\udcda <strong>\u0905\u0927\u093f\u0915 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f:<\/strong><\/h2>\n<ul>\n<li><strong>GATEOverflow \u092a\u0930 \u092a\u094d\u0930\u0936\u094d\u0928 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923:<\/strong><\/li>\n<li><strong>ExamSIDE \u092a\u0930 \u092a\u094d\u0930\u0936\u094d\u0928 \u0914\u0930 \u0909\u0924\u094d\u0924\u0930:<\/strong><\/li>\n<li><strong>GATE 1998 \u092a\u094d\u0930\u0936\u094d\u0928\u092a\u0924\u094d\u0930 (PDF):<\/strong><\/li>\n<\/ul>\n<hr \/>\n<p>\u092f\u0926\u093f \u0906\u092a \u0907\u0938 \u0935\u093f\u0937\u092f \u092a\u0930 \u0914\u0930 \u0905\u0927\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923, \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u092f\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902\u0964 \u092e\u0948\u0902 \u0906\u092a\u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0924\u0924\u094d\u092a\u0930 \u0939\u0942\u0901\u0964<\/p>\n<h3><a href=\"https:\/\/gateforum.com\/wp-content\/uploads\/2013\/01\/CS-1998.pdf\" target=\"_blank\" rel=\"noopener\">previous year question papers gate in Hindi &#8211; GATE 1998 Relation The binary relation R.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/static.zollege.in\/public\/image\/f4b8e328ccb83e5b21389a81ccbce0f0.pdf\" target=\"_blank\" rel=\"noopener\">GATE 1998 CS Question Paper Question Paper PDF<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/niamt.ac.in\/WriteReadData\/Mathematics%20(Discrete%20Structure).pdf\" target=\"_blank\" rel=\"noopener\">Mathematics (Discrete Structure).pdf<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.aicte-india.org\/sites\/default\/files\/MQP.pdf\" target=\"_blank\" rel=\"noopener\">Model Question Papers<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>previous year question papers gate in Hindi &#8211; GATE 1998 Relation The binary relation R. [fvplayer id=&#8221;236&#8243;] GATE CSE 1998 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u092a\u0924\u094d\u0930 \u092e\u0947\u0902 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928 \u0925\u093e \u091c\u094b \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 (Binary Relation) \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0925\u093e\u0964 \u092f\u0939 \u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u0914\u0930 \u090f\u0932\u094d\u091c\u0947\u092c\u094d\u0930\u093e (Set Theory &amp; Algebra) \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 \u0906\u0924\u093e \u0939\u0948\u0964 \ud83e\uddfe \u092a\u094d\u0930\u0936\u094d\u0928 \u0935\u093f\u0935\u0930\u0923: \u092a\u094d\u0930\u0936\u094d\u0928: \u0938\u0947\u091f A={1,2,3,4}A [&hellip;]<\/p>\n","protected":false},"author":71,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[76],"tags":[],"class_list":["post-3055","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3055","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/71"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=3055"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3055\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3055"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3055"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}