{"id":3075,"date":"2025-06-06T09:47:19","date_gmt":"2025-06-06T09:47:19","guid":{"rendered":"https:\/\/diznr.com\/?p=3075"},"modified":"2025-06-06T09:47:19","modified_gmt":"2025-06-06T09:47:19","slug":"previous-year-gate-question-with-answer-in-hindi-gate-2001-consider-the-relation-following","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/previous-year-gate-question-with-answer-in-hindi-gate-2001-consider-the-relation-following\/","title":{"rendered":"Previous year gate question with answer in Hindi &#8211; GATE 2001 -Consider the following relation."},"content":{"rendered":"<p>Previous year gate question with answer in Hindi &#8211; GATE 2001 -Consider the following relation.<\/p>\n<p>[fvplayer id=&#8221;240&#8243;]<\/p>\n<p data-start=\"0\" data-end=\"109\">GATE 2001 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0939\u093f\u0902\u0926\u0940 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0909\u0924\u094d\u0924\u0930\u094b\u0902 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0926\u092e \u0909\u0920\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ol data-start=\"111\" data-end=\"723\">\n<li data-start=\"111\" data-end=\"274\">\n<p data-start=\"114\" data-end=\"140\"><strong data-start=\"114\" data-end=\"140\">\u0906\u0927\u093f\u0915\u093e\u0930\u093f\u0915 GATE \u0935\u0947\u092c\u0938\u093e\u0907\u091f:<\/strong><\/p>\n<ul data-start=\"144\" data-end=\"274\">\n<li data-start=\"144\" data-end=\"274\">GATE \u0915\u0947 \u0906\u0927\u093f\u0915\u093e\u0930\u093f\u0915 \u092a\u094b\u0930\u094d\u091f\u0932 \u092a\u0930 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0906\u092a \u0935\u0939\u093e\u0901 \u0938\u0947 GATE 2001 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0921\u093e\u0909\u0928\u0932\u094b\u0921 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"276\" data-end=\"447\">\n<p data-start=\"279\" data-end=\"300\"><strong data-start=\"279\" data-end=\"300\">\u0936\u0948\u0915\u094d\u0937\u0923\u093f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936\u0928:<\/strong><\/p>\n<ul data-start=\"304\" data-end=\"447\">\n<li data-start=\"304\" data-end=\"447\">\u0915\u0908 \u092a\u094d\u0930\u0915\u093e\u0936\u0915 GATE \u0915\u0947 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0938\u0902\u0917\u094d\u0930\u0939 \u092a\u094d\u0930\u0915\u093e\u0936\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0905\u0928\u0941\u0935\u093e\u0926\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"449\" data-end=\"577\">\n<p data-start=\"452\" data-end=\"475\"><strong data-start=\"452\" data-end=\"475\">\u0911\u0928\u0932\u093e\u0907\u0928 \u092e\u0902\u091a \u0914\u0930 \u092b\u094b\u0930\u092e:<\/strong><\/p>\n<ul data-start=\"479\" data-end=\"577\">\n<li data-start=\"479\" data-end=\"577\">\u0915\u0941\u091b \u0911\u0928\u0932\u093e\u0907\u0928 \u092e\u0902\u091a\u094b\u0902 \u092a\u0930 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0914\u0930 \u0936\u093f\u0915\u094d\u0937\u0915\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0939\u093f\u0902\u0926\u0940 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0938\u093e\u091d\u093e \u0915\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"579\" data-end=\"723\">\n<p data-start=\"582\" data-end=\"601\"><strong data-start=\"582\" data-end=\"601\">\u0915\u094b\u091a\u093f\u0902\u0917 \u0938\u0902\u0938\u094d\u0925\u093e\u0928:<\/strong><\/p>\n<ul data-start=\"605\" data-end=\"723\">\n<li data-start=\"605\" data-end=\"723\">GATE \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u0915\u0930\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0915\u094b\u091a\u093f\u0902\u0917 \u0938\u0902\u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u0915\u0947 \u092a\u093e\u0938 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0939\u093f\u0902\u0926\u0940 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p data-start=\"725\" data-end=\"996\">\u0915\u0943\u092a\u092f\u093e \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f GATE 2001 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0939\u093f\u0902\u0926\u0940 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u094b\u0928\u093e \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0909\u0938 \u0938\u092e\u092f \u0939\u093f\u0902\u0926\u0940 \u0938\u0902\u0938\u094d\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u091a\u0932\u0928 \u0915\u092e \u0925\u093e\u0964 \u0939\u093e\u0932\u093e\u0902\u0915\u093f, \u0906\u092a \u0905\u0902\u0917\u094d\u0930\u0947\u091c\u0940 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0938\u092e\u091d\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u0935\u093e\u0926 \u0909\u092a\u0915\u0930\u0923\u094b\u0902 \u092f\u093e \u092e\u093e\u0930\u094d\u0917\u0926\u0930\u094d\u0936\u0915\u094b\u0902 \u0915\u093e \u0938\u0939\u093e\u0930\u093e \u0932\u0947 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h3 data-start=\"725\" data-end=\"996\"><a href=\"https:\/\/medical.iqcity.in\/wp-content\/uploads\/2021\/03\/1st-Professional-MBBS-Chapter-wise-Questions.pdf\" target=\"_blank\" rel=\"noopener\">Previous year gate question with answer in Hindi &#8211; GATE 2001 -Consider the following relation.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/gpsc.goa.gov.in\/wp-content\/uploads\/QuestionPaper\/792.pdf\" target=\"_blank\" rel=\"noopener\">Computer Based Examination System<\/a><\/h3>\n<p data-start=\"0\" data-end=\"74\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0939\u093e\u0901 GATE 2001 (CSE) \u0915\u0947 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0905\u0928\u0941\u0935\u093e\u0926 \u0914\u0930 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0939\u0948, \u091c\u094b <strong data-start=\"93\" data-end=\"117\">Set Theory &amp; Algebra<\/strong> \u0935\u093f\u0937\u092f \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948:<\/span><\/p>\n<hr data-start=\"76\" data-end=\"79\" \/>\n<h3 data-start=\"81\" data-end=\"128\">\ud83e\uddfe <strong data-start=\"88\" data-end=\"128\">\u092a\u094d\u0930\u0936\u094d\u0928 (GATE CSE 2001 \u2013 \u092a\u094d\u0930\u0936\u094d\u0928 1.2):<\/strong><\/h3>\n<p data-start=\"130\" data-end=\"167\"><strong data-start=\"130\" data-end=\"167\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0947\u0902:<\/strong><\/p>\n<ol data-start=\"169\" data-end=\"375\">\n<li data-start=\"169\" data-end=\"209\">\n<p data-start=\"172\" data-end=\"209\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"13\" data-is-only-node=\"\">R\u2081(a, b):<\/strong> \u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a+ba + b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u092a\u0930 \u0938\u092e (even) \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<li data-start=\"210\" data-end=\"250\">\n<p data-start=\"213\" data-end=\"250\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"13\" data-is-only-node=\"\">R\u2082(a, b):<\/strong> \u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a+ba + b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u092a\u0930 \u0935\u093f\u0937\u092e (odd) \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<li data-start=\"251\" data-end=\"293\">\n<p data-start=\"254\" data-end=\"293\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"13\" data-is-only-node=\"\">R\u2083(a, b):<\/strong> \u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a\u22c5b&gt;0a \\cdot b &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span> \u0917\u0948\u0930-\u0936\u0942\u0928\u094d\u092f \u092a\u0930\u093f\u092e\u0947\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u092a\u0930\u0964<\/span><\/p>\n<\/li>\n<li data-start=\"294\" data-end=\"375\">\n<p data-start=\"297\" data-end=\"375\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"13\" data-is-only-node=\"\">R\u2084(a, b):<\/strong> \u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">\u2223a\u2212b\u2223\u22642|a &#8211; b| \\leq 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mord\">\u2223<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span> \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u092a\u0930\u0964<\/span><\/p>\n<\/li>\n<\/ol>\n<p data-start=\"377\" data-end=\"417\"><strong data-start=\"377\" data-end=\"417\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0938\u0939\u0940 \u0939\u0948?<\/strong><\/p>\n<p data-start=\"419\" data-end=\"635\">A. <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">R\u2081 \u0914\u0930 R\u2082 \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0902; R\u2083 \u0914\u0930 R\u2084 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964<\/span><br data-start=\"461\" data-end=\"464\" \/>B. <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">R\u2081 \u0914\u0930 R\u2083 \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0902; R\u2082 \u0914\u0930 R\u2084 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964<\/span><br data-start=\"506\" data-end=\"509\" \/>C. <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">R\u2081 \u0914\u0930 R\u2084 \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0902; R\u2082 \u0914\u0930 R\u2083 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964<\/span><br data-start=\"551\" data-end=\"554\" \/>D. <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">R\u2081, R\u2082, R\u2083 \u0914\u0930 R\u2084 \u0938\u092d\u0940 \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0902\u0964<\/span><\/p>\n<hr data-start=\"637\" data-end=\"640\" \/>\n<h3 data-start=\"642\" data-end=\"671\">\u2705 <strong data-start=\"648\" data-end=\"671\">\u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930: \u0935\u093f\u0915\u0932\u094d\u092a B<\/strong><\/h3>\n<hr data-start=\"673\" data-end=\"676\" \/>\n<h3 data-start=\"678\" data-end=\"698\">\ud83d\udd0d <strong data-start=\"685\" data-end=\"698\">\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923:<\/strong><\/h3>\n<h4 data-start=\"700\" data-end=\"760\"><strong data-start=\"705\" data-end=\"718\">R\u2081(a, b):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">a+ba + b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0938\u092e \u0939\u0948\u0964<\/span><\/h4>\n<ul data-start=\"761\" data-end=\"1051\">\n<li data-start=\"761\" data-end=\"831\">\n<p data-start=\"763\" data-end=\"831\"><strong data-start=\"763\" data-end=\"789\">\u092a\u094d\u0930\u0924\u093f\u092b\u0932\u0924\u093e (Reflexive):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">a+a=2aa + a = 2a<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u0939\u092e\u0947\u0936\u093e \u0938\u092e \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u2714\ufe0f<\/span><\/p>\n<\/li>\n<li data-start=\"832\" data-end=\"900\">\n<p data-start=\"834\" data-end=\"900\"><strong data-start=\"834\" data-end=\"858\">\u0938\u092e\u092e\u093f\u0924\u0924\u093e (Symmetric):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a+ba + b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0938\u092e \u0939\u0948, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">b+ab + a<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u092d\u0940 \u0938\u092e \u0939\u094b\u0917\u093e\u0964 \u2714\ufe0f<\/span><\/p>\n<\/li>\n<li data-start=\"901\" data-end=\"1051\">\n<p data-start=\"903\" data-end=\"1051\"><strong data-start=\"903\" data-end=\"930\">\u092a\u093e\u0930\u0917\u092e\u094d\u092f\u0924\u093e (Transitive):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a+ba + b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0914\u0930 <span class=\"katex\"><span class=\"katex-mathml\">b+cb + c<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span> \u0926\u094b\u0928\u094b\u0902 \u0938\u092e \u0939\u0948\u0902, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">a+ca + c<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span> \u092d\u0940 \u0938\u092e \u0939\u094b\u0917\u093e\u0964 \u2714\ufe0f<\/span><br data-start=\"970\" data-end=\"973\" \/><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u27a1\ufe0f <strong data-start=\"3\" data-end=\"9\">R\u2081<\/strong> \u090f\u0915 \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"1053\" data-end=\"1113\"><strong data-start=\"1058\" data-end=\"1071\">R\u2082(a, b):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">a+ba + b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0935\u093f\u0937\u092e \u0939\u0948\u0964<\/span><\/h4>\n<ul data-start=\"1114\" data-end=\"1251\">\n<li data-start=\"1114\" data-end=\"1251\">\n<p data-start=\"1116\" data-end=\"1251\"><strong data-start=\"1116\" data-end=\"1130\">\u092a\u094d\u0930\u0924\u093f\u092b\u0932\u0924\u093e:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">a+a=2aa + a = 2a<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u0939\u092e\u0947\u0936\u093e \u0938\u092e \u0939\u094b\u0924\u093e \u0939\u0948, \u0907\u0938\u0932\u093f\u090f <span class=\"katex\"><span class=\"katex-mathml\">(a,a)(a, a)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span> \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u274c<\/span><br data-start=\"1170\" data-end=\"1173\" \/><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u27a1\ufe0f <strong data-start=\"3\" data-end=\"9\">R\u2082<\/strong> \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"1253\" data-end=\"1313\"><strong data-start=\"1258\" data-end=\"1271\">R\u2083(a, b):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">a\u22c5b&gt;0a \\cdot b &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/h4>\n<ul data-start=\"1314\" data-end=\"1567\">\n<li data-start=\"1314\" data-end=\"1372\">\n<p data-start=\"1316\" data-end=\"1372\"><strong data-start=\"1316\" data-end=\"1330\">\u092a\u094d\u0930\u0924\u093f\u092b\u0932\u0924\u093e:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">a\u22c5a=a2&gt;0a \\cdot a = a^2 &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span> \u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a\u22600a \\neq 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\"><span class=\"mord vbox\"><span class=\"thinbox\"><span class=\"rlap\"><span class=\"inner\"><span class=\"mord\">\ue020<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span>\u0964 \u2714\ufe0f<\/span><\/p>\n<\/li>\n<li data-start=\"1373\" data-end=\"1429\">\n<p data-start=\"1375\" data-end=\"1429\"><strong data-start=\"1375\" data-end=\"1387\">\u0938\u092e\u092e\u093f\u0924\u0924\u093e:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a\u22c5b&gt;0a \\cdot b &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">b\u22c5a&gt;0b \\cdot a &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span> \u092d\u0940 \u0939\u094b\u0917\u093e\u0964 \u2714\ufe0f<\/span><\/p>\n<\/li>\n<li data-start=\"1430\" data-end=\"1567\">\n<p data-start=\"1432\" data-end=\"1567\"><strong data-start=\"1432\" data-end=\"1446\">\u092a\u093e\u0930\u0917\u092e\u094d\u092f\u0924\u093e:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a\u22c5b&gt;0a \\cdot b &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span> \u0914\u0930 <span class=\"katex\"><span class=\"katex-mathml\">b\u22c5c&gt;0b \\cdot c &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">a\u22c5c&gt;0a \\cdot c &gt; 0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span> \u0939\u094b\u0917\u093e\u0964 \u2714\ufe0f<\/span><br data-start=\"1486\" data-end=\"1489\" \/><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u27a1\ufe0f <strong data-start=\"3\" data-end=\"9\">R\u2083<\/strong> \u090f\u0915 \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"1569\" data-end=\"1629\"><strong data-start=\"1574\" data-end=\"1587\">R\u2084(a, b):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223a\u2212b\u2223\u22642|a &#8211; b| \\leq 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mord\">\u2223<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span><\/h4>\n<ul data-start=\"1630\" data-end=\"1941\">\n<li data-start=\"1630\" data-end=\"1688\">\n<p data-start=\"1632\" data-end=\"1688\"><strong data-start=\"1632\" data-end=\"1646\">\u092a\u094d\u0930\u0924\u093f\u092b\u0932\u0924\u093e:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223a\u2212a\u2223=0\u22642|a &#8211; a| = 0 \\leq 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mord\">\u2223<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span> \u2714\ufe0f<\/span><\/p>\n<\/li>\n<li data-start=\"1689\" data-end=\"1745\">\n<p data-start=\"1691\" data-end=\"1745\"><strong data-start=\"1691\" data-end=\"1703\">\u0938\u092e\u092e\u093f\u0924\u0924\u093e:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223a\u2212b\u2223=\u2223b\u2212a\u2223|a &#8211; b| = |b &#8211; a|<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mord\">\u2223<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span>, \u0907\u0938\u0932\u093f\u090f \u092f\u0926\u093f \u090f\u0915 \u2264 2 \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u093e \u092d\u0940 \u0939\u094b\u0917\u093e\u0964 \u2714\ufe0f<\/span><\/p>\n<\/li>\n<li data-start=\"1746\" data-end=\"1941\">\n<p data-start=\"1748\" data-end=\"1804\"><strong data-start=\"1748\" data-end=\"1762\">\u092a\u093e\u0930\u0917\u092e\u094d\u092f\u0924\u093e:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">\u2223a\u2212b\u2223\u22642|a &#8211; b| \\leq 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mord\">\u2223<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span> \u0914\u0930 <span class=\"katex\"><span class=\"katex-mathml\">\u2223b\u2212c\u2223\u22642|b &#8211; c| \\leq 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mord\">\u2223<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">\u2223a\u2212c\u2223\u22644|a &#8211; c| \\leq 4<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mord\">\u2223<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord\">4<\/span><\/span><\/span><\/span> \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u094b 2 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964 \u274c<\/span><\/p>\n<ul data-start=\"1807\" data-end=\"1941\">\n<li data-start=\"1807\" data-end=\"1941\">\n<p data-start=\"1809\" data-end=\"1941\"><strong data-start=\"1809\" data-end=\"1820\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">a=1,b=3,c=5a = 1, b = 3, c = 5<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><\/span><\/span><\/span>: <span class=\"katex\"><span class=\"katex-mathml\">\u22231\u22123\u2223=2|1 &#8211; 3| = 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u22231<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">3\u2223<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span>, <span class=\"katex\"><span class=\"katex-mathml\">\u22233\u22125\u2223=2|3 &#8211; 5| = 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u22233<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">5\u2223<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span>, \u0932\u0947\u0915\u093f\u0928 <span class=\"katex\"><span class=\"katex-mathml\">\u22231\u22125\u2223=4&gt;2|1 &#8211; 5| = 4 &gt; 2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u22231<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">5\u2223<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">4<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span><br data-start=\"1860\" data-end=\"1863\" \/><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u27a1\ufe0f <strong data-start=\"3\" data-end=\"9\">R\u2084<\/strong> \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr data-start=\"1943\" data-end=\"1946\" \/>\n<h3 data-start=\"1948\" data-end=\"1968\">\ud83d\udccc <strong data-start=\"1955\" data-end=\"1968\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong><\/h3>\n<ul data-start=\"1970\" data-end=\"2067\">\n<li data-start=\"1970\" data-end=\"2000\">\n<p data-start=\"1972\" data-end=\"2000\"><strong data-start=\"1972\" data-end=\"1979\">R\u2081:<\/strong> \u2714\ufe0f \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927<\/p>\n<\/li>\n<li data-start=\"2001\" data-end=\"2019\">\n<p data-start=\"2003\" data-end=\"2019\"><strong data-start=\"2003\" data-end=\"2010\">R\u2082:<\/strong> \u274c \u0928\u0939\u0940\u0902<\/p>\n<\/li>\n<li data-start=\"2020\" data-end=\"2050\">\n<p data-start=\"2022\" data-end=\"2050\"><strong data-start=\"2022\" data-end=\"2029\">R\u2083:<\/strong> \u2714\ufe0f \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0938\u0902\u092c\u0902\u0927<\/p>\n<\/li>\n<li data-start=\"2051\" data-end=\"2067\">\n<p data-start=\"2053\" data-end=\"2067\"><strong data-start=\"2053\" data-end=\"2060\">R\u2084:<\/strong> \u274c \u0928\u0939\u0940\u0902<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"2069\" data-end=\"2147\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u0907\u0938\u0932\u093f\u090f, \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0939\u0948: <strong data-start=\"21\" data-end=\"33\" data-is-last-node=\"\">\u0935\u093f\u0915\u0932\u094d\u092a B<\/strong><\/span><\/p>\n<hr data-start=\"2149\" data-end=\"2152\" \/>\n<p data-start=\"2154\" data-end=\"2234\">\u092f\u0926\u093f \u0906\u092a \u0907\u0938 \u0935\u093f\u0937\u092f \u092a\u0930 \u0914\u0930 \u0905\u0927\u093f\u0915 \u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \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!<\/p>\n<h3 data-start=\"2154\" data-end=\"2234\"><a href=\"https:\/\/www.onestopgate.com\/gate-preparation\/sample-papers\/files\/py2001.pdf\" target=\"_blank\" rel=\"noopener\">Previous year gate question with answer in Hindi &#8211; GATE 2001 -Consider the following relation.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.psc.cg.gov.in\/pdf\/NOTIFICATIONS\/SSEM12\/01QP.pdf\" target=\"_blank\" rel=\"noopener\">\u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \/ Question Paper &#8211; EXAM &#8211; CGM-12<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.scholarships.reliancefoundation.org\/assets\/pdf\/SamplePaperRelianceFoundationUGScholarshipfinal.pdf\" target=\"_blank\" rel=\"noopener\">Aptitude Test Sample Question Paper<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/gatearchitecture.com\/wp-content\/uploads\/2018\/09\/Preview-EE-QUESTION-BANK.pdf\" target=\"_blank\" rel=\"noopener\">question &#8211; GATE AR<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Previous year gate question with answer in Hindi &#8211; GATE 2001 -Consider the following relation. [fvplayer id=&#8221;240&#8243;] GATE 2001 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0939\u093f\u0902\u0926\u0940 \u0938\u0902\u0938\u094d\u0915\u0930\u0923 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0909\u0924\u094d\u0924\u0930\u094b\u0902 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0926\u092e \u0909\u0920\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902: \u0906\u0927\u093f\u0915\u093e\u0930\u093f\u0915 GATE \u0935\u0947\u092c\u0938\u093e\u0907\u091f: GATE \u0915\u0947 \u0906\u0927\u093f\u0915\u093e\u0930\u093f\u0915 \u092a\u094b\u0930\u094d\u091f\u0932 \u092a\u0930 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0906\u092a [&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-3075","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3075","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=3075"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3075\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}