{"id":3064,"date":"2025-06-07T09:26:30","date_gmt":"2025-06-07T09:26:30","guid":{"rendered":"https:\/\/diznr.com\/?p=3064"},"modified":"2025-06-07T09:26:30","modified_gmt":"2025-06-07T09:26:30","slug":"discrete-mathematics-question-for-gate-in-hindi-cseit-gate-2021-the-relation-binary","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/discrete-mathematics-question-for-gate-in-hindi-cseit-gate-2021-the-relation-binary\/","title":{"rendered":"Discrete Mathematics Question for gate in Hindi CSEIT – GATE 2025 The binary relation"},"content":{"rendered":"

Discrete Mathematics Question for gate in Hindi CSEIT – GATE 2025 The binary relation<\/p>\n

[fvplayer id=”234″]<\/p>\n

\u092f\u0939\u093e\u0901 GATE CSE 2025 \u0915\u0947 \u0932\u093f\u090f \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u0947\u092e\u0947\u091f\u093f\u0915\u094d\u0938<\/strong> \u092e\u0947\u0902 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 (Binary Relation)<\/strong> \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0915\u0941\u091b \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902, \u091c\u094b \u0939\u093f\u0902\u0926\u0940 \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u0947 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0902\u0917\u0947\u0964<\/span><\/p>\n

\n

\ud83e\udde0 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 \u0915\u0940 \u092e\u0942\u0932 \u092c\u093e\u0924\u0947\u0902<\/strong><\/h3>\n

\u092f\u0926\u093f \u0915\u094b\u0908 \u0938\u0947\u091f AA<\/span>A<\/span><\/span><\/span><\/span> \u0939\u0948, \u0924\u094b \u0909\u0938 \u092a\u0930 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948:<\/span><\/p>\n

Total\u00a0Relations=2n2\\text{Total Relations} = 2^{n^2}<\/span>Total\u00a0Relations<\/span><\/span>=<\/span><\/span>2n<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u091c\u0939\u093e\u0901 nn<\/span>n<\/span><\/span><\/span><\/span> \u0938\u0947\u091f AA<\/span>A<\/span><\/span><\/span><\/span> \u0915\u0947 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964<\/span><\/p>\n

\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> \u092f\u0926\u093f A={1,2,3}A = \\{1, 2, 3\\}<\/span>A<\/span>=<\/span><\/span>{<\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span>}<\/span><\/span><\/span><\/span>, \u0924\u094b \u0915\u0941\u0932 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 \u0939\u094b\u0902\u0917\u0947:<\/span><\/p>\n

232=29=5122^{3^2} = 2^9 = 512<\/span>232<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>29<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>512<\/span><\/span><\/span><\/span><\/span><\/p>\n

\n

\ud83d\udd0d GATE \u0915\u0947 \u092a\u0942\u0930\u094d\u0935\u0935\u0930\u094d\u0924\u0940 \u092a\u094d\u0930\u0936\u094d\u0928<\/strong><\/h3>\n

\u2753 \u092a\u094d\u0930\u0936\u094d\u0928 1 (GATE CS 2025):<\/strong><\/h4>\n

“\u0938\u0947\u091f A={1,2,3}A = \\{1, 2, 3\\}<\/span>A<\/span>=<\/span><\/span>{<\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span>}<\/span><\/span><\/span><\/span> \u092a\u0930 \u090f\u0915 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 RR<\/span>R<\/span><\/span><\/span><\/span> \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u091a\u0941\u0928\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0909\u0938 \u0930\u093f\u0932\u0947\u0936\u0928 \u0915\u0947 \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948?”<\/span><\/p>\n

\u0909\u0924\u094d\u0924\u0930:<\/strong><\/p>\n

    \n
  • \n

    \u0915\u0941\u0932 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928: 29=5122^9 = 512<\/span>29<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>512<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

  • \n

    \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0930\u093f\u0932\u0947\u0936\u0928 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948 \u0915\u093f \u0938\u092d\u0940 (a,a)(a, a)<\/span>(<\/span>a<\/span>,<\/span>a<\/span>)<\/span><\/span><\/span><\/span> \u092f\u0941\u0917\u094d\u092e \u092e\u094c\u091c\u0942\u0926 \u0939\u094b\u0902, \u0905\u0930\u094d\u0925\u093e\u0924\u094d (1,1),(2,2),(3,3)(1,1), (2,2), (3,3)<\/span>(<\/span>1<\/span>,<\/span>1<\/span>)<\/span>,<\/span>(<\/span>2<\/span>,<\/span>2<\/span>)<\/span>,<\/span>(<\/span>3<\/span>,<\/span>3<\/span>)<\/span><\/span><\/span><\/span> \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0902\u0964<\/span><\/p>\n<\/li>\n

  • \n

    \u092c\u093e\u0915\u0940 9\u22123=69 – 3 = 6<\/span>9<\/span>\u2212<\/span><\/span>3<\/span>=<\/span><\/span>6<\/span><\/span><\/span><\/span> \u092f\u0941\u0917\u094d\u092e\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b \u0936\u093e\u092e\u093f\u0932 \u0915\u0930\u0928\u0947 \u092f\u093e \u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0926\u094b \u0935\u093f\u0915\u0932\u094d\u092a \u0939\u0948\u0902\u0964<\/span><\/p>\n<\/li>\n

  • \n

    \u0905\u0924\u0903 \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0930\u093f\u0932\u0947\u0936\u0928 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e: 26=642^6 = 64<\/span>26<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>64<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

  • \n

    \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e: 64512=18\\frac{64}{512} = \\frac{1}{8}<\/span>512<\/span><\/span>64<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>8<\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n

    \n

    \u2753 \u092a\u094d\u0930\u0936\u094d\u0928 2 (GATE CS 2025):<\/strong><\/h4>\n

    “\u0938\u0947\u091f A={x,y,z}A = \\{x, y, z\\}<\/span>A<\/span>=<\/span><\/span>{<\/span>x<\/span>,<\/span>y<\/span>,<\/span>z<\/span>}<\/span><\/span><\/span><\/span> \u092a\u0930 \u0930\u093f\u0932\u0947\u0936\u0928 R={(x,y),(x,z),(z,x),(z,y)}R = \\{(x,y), (x,z), (z,x), (z,y)\\}<\/span>R<\/span>=<\/span><\/span>{(<\/span>x<\/span>,<\/span>y<\/span>)<\/span>,<\/span>(<\/span>x<\/span>,<\/span>z<\/span>)<\/span>,<\/span>(<\/span>z<\/span>,<\/span>x<\/span>)<\/span>,<\/span>(<\/span>z<\/span>,<\/span>y<\/span>)}<\/span><\/span><\/span><\/span> \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0915\u0925\u0928 \u0938\u0924\u094d\u092f \u0939\u0948?”<\/span><\/p>\n

    \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923:<\/strong><\/p>\n

      \n
    • \n

      \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935:<\/strong> \u0928\u0939\u0940\u0902, \u0915\u094d\u092f\u094b\u0902\u0915\u093f (x,x),(y,y),(z,z)(x,x), (y,y), (z,z)<\/span>(<\/span>x<\/span>,<\/span>x<\/span>)<\/span>,<\/span>(<\/span>y<\/span>,<\/span>y<\/span>)<\/span>,<\/span>(<\/span>z<\/span>,<\/span>z<\/span>)<\/span><\/span><\/span><\/span> \u0936\u093e\u092e\u093f\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964<\/span><\/p>\n<\/li>\n

    • \n

      \u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915:<\/strong> \u0928\u0939\u0940\u0902, \u0915\u094d\u092f\u094b\u0902\u0915\u093f (x,y)(x,y)<\/span>(<\/span>x<\/span>,<\/span>y<\/span>)<\/span><\/span><\/span><\/span> \u0939\u0948 \u0932\u0947\u0915\u093f\u0928 (y,x)(y,x)<\/span>(<\/span>y<\/span>,<\/span>x<\/span>)<\/span><\/span><\/span><\/span> \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n

    • \n

      \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u091f\u093f\u0935:<\/strong> \u091c\u093e\u0901\u091a\u0928\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n

      \u0909\u0924\u094d\u0924\u0930:<\/strong> \u0930\u093f\u0932\u0947\u0936\u0928 \u0928 \u0924\u094b \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935 \u0939\u0948, \u0928 \u0939\u0940 \u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915, \u0914\u0930 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u091f\u093f\u0935\u093f\u091f\u0940 \u0915\u0940 \u092a\u0941\u0937\u094d\u091f\u093f \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940\u0964<\/span><\/p>\n

      \n

      \ud83d\udcda \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0947 \u0932\u093f\u090f \u0938\u0941\u091d\u093e\u0935<\/strong><\/h3>\n
        \n
      • \n

        GeeksforGeeks<\/strong> \u092a\u0930 \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u0947\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u0915\u0947 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938 \u0914\u0930 GATE \u0915\u0947 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0930\u0947\u0902\u0964<\/span><\/p>\n<\/li>\n

      • \n

        YouTube<\/strong> \u092a\u0930 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0909\u092a\u0932\u092c\u094d\u0927 \u0935\u0940\u0921\u093f\u092f\u094b \u0932\u0947\u0915\u094d\u091a\u0930\u094d\u0938, \u091c\u0948\u0938\u0947 \u0915\u093f Binary Relation in Hindi, \u0938\u0947 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0930\u0947\u0902\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n

        \n

        \u092f\u0926\u093f \u0906\u092a \u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0930\u093f\u0932\u0947\u0936\u0928 (\u091c\u0948\u0938\u0947 \u0915\u093f \u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915, \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u091f\u093f\u0935, \u0930\u093f\u092b\u094d\u0932\u0947\u0915\u094d\u0938\u093f\u0935) \u092a\u0930 \u0914\u0930 \u0905\u0927\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u092f\u093e \u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923 \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902\u0964<\/p>\n","protected":false},"excerpt":{"rendered":"

        Discrete Mathematics Question for gate in Hindi CSEIT – GATE 2025 The binary relation [fvplayer id=”234″] \u092f\u0939\u093e\u0901 GATE CSE 2025 \u0915\u0947 \u0932\u093f\u090f \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u0947\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 (Binary Relation) \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0915\u0941\u091b \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902, \u091c\u094b \u0939\u093f\u0902\u0926\u0940 \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u0947 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0902\u0917\u0947\u0964 \ud83e\udde0 \u092c\u093e\u0907\u0928\u0930\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 \u0915\u0940 \u092e\u0942\u0932 \u092c\u093e\u0924\u0947\u0902 […]<\/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-3064","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3064","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=3064"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3064\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}