{"id":29027,"date":"2021-05-05T13:00:46","date_gmt":"2021-05-05T13:00:46","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29027"},"modified":"2024-09-22T04:32:32","modified_gmt":"2024-09-22T04:32:32","slug":"%e0%a4%b6%e0%a4%82%e0%a4%95%e0%a5%81-%e0%a4%96%e0%a4%82%e0%a4%a1-%e0%a4%aa%e0%a4%b0%e0%a4%b5%e0%a4%b2%e0%a4%af-%e0%a4%a6%e0%a5%80%e0%a4%b0%e0%a5%8d%e0%a4%98%e0%a4%b5%e0%a5%83%e0%a4%a4%e0%a5%8d","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/hi\/%e0%a4%b6%e0%a4%82%e0%a4%95%e0%a5%81-%e0%a4%96%e0%a4%82%e0%a4%a1-%e0%a4%aa%e0%a4%b0%e0%a4%b5%e0%a4%b2%e0%a4%af-%e0%a4%a6%e0%a5%80%e0%a4%b0%e0%a5%8d%e0%a4%98%e0%a4%b5%e0%a5%83%e0%a4%a4%e0%a5%8d\/","title":{"rendered":"\u0936\u0902\u0915\u0941 \u0916\u0902\u0921: \u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901 \u0914\u0930 \u0917\u094d\u0930\u093e\u092b"},"content":{"rendered":"<p><center><\/p>\n<h1>\u0936\u0902\u0915\u0941 \u0916\u0902\u0921: \u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901 \u0914\u0930 \u0917\u094d\u0930\u093e\u092b<\/h1>\n<p><em><strong>\u0938\u093e\u0930\u093e\u0902\u0936:<\/strong><br \/>\n   \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902, \u0939\u092e \u0936\u0902\u0915\u0941 \u0916\u0902\u0921\u094b\u0902 (\u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f) \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902\u0917\u0947, \u0909\u0928\u0915\u0940 \u092e\u093e\u0928\u0915 \u0914\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0938\u0947 \u0936\u0941\u0930\u0941\u0906\u0924 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f\u0964 \u0939\u092e \u092f\u0939 \u0938\u092e\u091d\u093e\u090f\u0901\u0917\u0947 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u0915\u094d\u0930 \u0930\u0947\u0916\u093e \u0915\u0940 \u092a\u0939\u091a\u093e\u0928 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u0915\u0948\u0938\u0947 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u092a\u0930\u0935\u0932\u092f\u094b\u0902 \u092e\u0947\u0902 \u0936\u0940\u0930\u094d\u0937 \u092c\u093f\u0902\u0926\u0941, \u0915\u0947\u0902\u0926\u094d\u0930 \u0914\u0930 \u0938\u092e\u092e\u093f\u0924 \u0905\u0915\u094d\u0937 \u091c\u0948\u0938\u0947 \u092a\u094d\u0930\u092e\u0941\u0916 \u0924\u0924\u094d\u0935\u094b\u0902 \u092a\u0930 \u0927\u094d\u092f\u093e\u0928 \u0915\u0947\u0902\u0926\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u0914\u0930 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0947 \u092c\u0940\u091a \u0909\u0928\u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u091a\u093f\u0939\u094d\u0928\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0905\u0902\u0924\u0930 \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0930\u0947\u0902\u0917\u0947\u0964<br \/>\n   <\/em><br \/>\n   <strong>\u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f:<\/strong><br \/>\n   \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0905\u0902\u0924 \u0924\u0915, \u091b\u093e\u0924\u094d\u0930 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u092a\u0939\u091a\u093e\u0928\u0928\u093e<\/strong> \u0936\u0902\u0915\u0941 \u0916\u0902\u0921\u094b\u0902 \u0915\u0947 \u092e\u093e\u0928\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 (\u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f)<\/li>\n<li><strong>\u0917\u0923\u0928\u093e \u0915\u0930\u0928\u093e<\/strong> \u0936\u0902\u0915\u0941 \u0916\u0902\u0921\u094b\u0902 \u0915\u0940 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0936\u0947\u0937\u0924\u093e: \u0905\u0930\u094d\u0927-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908, \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940, \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093f\u0915\u093e \u0906\u0926\u093f\u0964<\/li>\n<\/ol>\n<p>   <strong>\u0938\u093e\u092e\u0917\u094d\u0930\u0940 \u0938\u0942\u091a\u0915\u093e\u0902\u0915<\/strong><br \/>\n   <a href=\"#1\">\u0936\u0902\u0915\u0941 \u0916\u0902\u0921<\/a><br \/>\n   <a href=\"#2\">\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e<\/a><br \/>\n   <a href=\"#3\">\u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e<\/a><br \/>\n   <a href=\"#4\">\u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901<\/a><br \/>\n   <a href=\"#5\">\u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901<\/a><br \/>\n   <a href=\"#6\">\u0938\u092e\u093e\u0927\u093e\u0928 \u0905\u092d\u094d\u092f\u093e\u0938<\/a>\n   <\/p>\n<p>   <\/center><\/p>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/d21_9EHUv_M\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n   <a name=\"1\"><\/a><\/p>\n<h2>\u0936\u0902\u0915\u0941 \u0916\u0902\u0921<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=126s\" target=\"_blank\" rel=\"noopener\"><strong>\u0936\u0902\u0915\u0941 \u0916\u0902\u0921 \u0935\u0947 \u0938\u092d\u0940<\/strong><\/a> \u0935\u0915\u094d\u0930 \u0930\u0947\u0916\u093e\u090f\u0901 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902 \u091c\u094b \u090f\u0915 \u0936\u0902\u0915\u0941 \u0915\u0940 \u0938\u0924\u0939 \u0914\u0930 \u090f\u0915 \u0938\u092e\u0924\u0932 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964 \u0936\u0902\u0915\u0941 \u0916\u0902\u0921 \u092a\u0930\u093f\u0935\u093e\u0930 \u092e\u0947\u0902 \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u0939\u092e\u0928\u0947 \u092a\u0939\u0932\u0947 \u0939\u0940 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u092f\u093e \u0939\u0948\u0964<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u0936\u0902\u0915\u0941 \u0916\u0902\u0921\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u0936\u0902\u0915\u0941 \u0916\u0902\u0921\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0905\u092c \u0939\u092e \u0907\u0928 \u0935\u0915\u094d\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u0928\u0947 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0932\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u094b \u091c\u093e\u0928\u0928\u0947 \u0915\u0940 \u0924\u0915\u0928\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0939\u092e \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u092e\u093e\u0928\u0915 \u0930\u0942\u092a\u094b\u0902 \u092a\u0930 \u0927\u094d\u092f\u093e\u0928 \u0915\u0947\u0902\u0926\u094d\u0930\u093f\u0924 \u0915\u0930\u0947\u0902\u0917\u0947, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0947 \u0938\u092c\u0938\u0947 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0939\u0948\u0902 \u0914\u0930 \u0938\u092c\u0938\u0947 \u0915\u092e \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u094b \u0938\u0940\u0927\u0947 \u092a\u094d\u0930\u0915\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u092e\u0940\u0915\u0930\u0923 \u0932\u0917\u092d\u0917 \u0938\u092d\u0940 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0932\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u094b \u092a\u094d\u0930\u0915\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>   <a name=\"2\"><\/a><\/p>\n<h2>\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=160s\" target=\"_blank\" rel=\"noopener\"><strong>\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930\u0935\u0932\u092f \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948<\/strong><\/a> \u0938\u092e\u0940\u0915\u0930\u0923 \u0926\u094d\u0935\u093e\u0930\u093e<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y=ax^2 + bx + c,<\/span> \u091c\u0939\u093e\u0901 <span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span>\n<p style=\"text-align: justify;\">\u0907\u0938 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0939\u092e\u0928\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0936\u0940\u0930\u094d\u0937 \u092c\u093f\u0902\u0926\u0941 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (x_0, y_0)=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} \\right)<\/span><\/li>\n<li>\u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f=\\dfrac{1}{4a}<\/span><\/li>\n<li>\u092b\u094b\u0915\u0938 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle foco=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} + f \\right) =\\left( -\\dfrac{b}{2a}, c + \\dfrac{1- b^2}{4a} \\right)<\/span><\/li>\n<li>\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093f\u0915\u093e \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= c - \\dfrac{b^2}{4a} - f = c - \\dfrac{1+b^2}{4a}<\/span><\/li>\n<li>\u0938\u092e\u092e\u093f\u0924 \u0905\u0915\u094d\u0937 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x= -\\dfrac{b}{2a} <\/span><\/li>\n<li>x-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u093e\u0925 \u0915\u091f\u093e\u0935 (\u092f\u0926\u093f \u092e\u094c\u091c\u0942\u0926 \u0939\u094b\u0902): <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x_{1,2}= \\dfrac{-b \\pm \\sqrt{b^2-4ac}}{2a} <\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0907\u0928 \u091c\u093e\u0928\u0915\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925, \u0939\u092e \u0915\u093f\u0938\u0940 \u092d\u0940 \u092a\u0930\u0935\u0932\u092f \u0915\u093e \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0924\u0948\u092f\u093e\u0930 \u0939\u0948\u0902\u0964<\/p>\n<p>   <a name=\"3\"><\/a><\/p>\n<h2>\u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=449s\" target=\"_blank\" rel=\"noopener\"><strong>\u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f, \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e\u0928\u0947 \u0926\u0947\u0916\u093e,<\/strong><\/a> \u0915\u093e \u092e\u093e\u0928\u0915 \u0930\u0942\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Ax^2 + Bx + Cy^2 + Dy + E = 0<\/span>\n<p style=\"text-align: justify;\">\u091c\u0939\u093e\u0901 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0917\u0948\u0930-\u0936\u0942\u0928\u094d\u092f \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u0914\u0930 \u0939\u092e\u093e\u0930\u0947 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u092f\u0939 \u092a\u093e\u092f\u093e \u0917\u092f\u093e \u0915\u093f:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u092f\u0926\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0915\u093e \u091a\u093f\u0939\u094d\u0928 \u0938\u092e\u093e\u0928 \u0939\u0948, \u0924\u094b \u092f\u0939 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0939\u0948\u0964<\/li>\n<li>\u092f\u0926\u093f <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0915\u093e \u091a\u093f\u0939\u094d\u0928 \u0935\u093f\u092a\u0930\u0940\u0924 \u0939\u0948, \u0924\u094b \u092f\u0939 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0939\u0948\u0964<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0926\u094b\u0928\u094b\u0902 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0930\u0942\u092a \u0938\u0947 \u0905\u0932\u0917 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u0907\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ul style=\"text-align: justify;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span> \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0939\u0948\u0964<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span> \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0939\u0948\u0964<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u091c\u0939\u093e\u0901 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha, \\beta, \\gamma, \\delta<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">\\epsilon<\/span> \u0915\u094b\u0908 \u092d\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902 \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u0939\u092e\u0947\u0936\u093e \u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u0932\u093f\u0916\u0928\u0947 \u0938\u0947 \u0926\u094b\u0928\u094b\u0902 \u092e\u093e\u092e\u0932\u094b\u0902 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0930\u0942\u092a \u0938\u0947 \u0905\u0932\u0917 \u0915\u0930\u0928\u093e \u0938\u0902\u092d\u0935 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p>   <a name=\"4\"><\/a><\/p>\n<h2>\u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=552s\" target=\"_blank\" rel=\"noopener\"><strong>\u092e\u093e\u0928\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0938\u0947 \u0936\u0941\u0930\u0942 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f,<\/strong><\/a> \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/td>\n<td>; \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u092e\u093e\u0928\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\u0964<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) + \\gamma \\left(y^2 + \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/td>\n<td>; \u092a\u0926\u094b\u0902 \u0915\u093e \u092a\u0941\u0928\u0930\u094d\u0917\u0920\u0928 \u0914\u0930 \u092a\u0941\u0928\u0930\u094d\u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 + \\gamma \\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<td>; \u0935\u0930\u094d\u0917 \u092a\u0942\u0930\u094d\u0923 \u0915\u0930\u0928\u093e \u0914\u0930 \u092a\u0941\u0928\u0930\u094d\u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0915\u0930\u0928\u093e<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\gamma \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u0938\u092d\u0940 \u092a\u0926\u094b\u0902 \u0915\u094b <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span> \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0928\u093e<\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha }\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{ \\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u0915\u094b \u092a\u0941\u0928\u0930\u094d\u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0915\u0930\u0928\u093e<\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 + \\left( \\dfrac{y - \\left(-\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/td>\n<td>; \u0935\u0930\u094d\u0917\u092e\u0942\u0932\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092a\u0941\u0928\u0930\u094d\u0917\u0920\u0928<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0924\u0940\u0938\u0930\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0935\u093f\u0936\u0947\u0937 \u0938\u093e\u0935\u0927\u093e\u0928\u0940 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0926\u093f <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span> \u0915\u093e \u092e\u093e\u0928 \u0928\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0939\u094b\u0924\u093e \u0939\u0948, \u0924\u094b \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0938\u0902\u092d\u0935 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/p>\n<p style=\"text-align: justify;\">\u092f\u093e\u0926 \u0930\u0916\u0947\u0902 \u0915\u093f \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{x-h}{a} \\right)^2 + \\left(\\dfrac{y-k}{b} \\right)^2 = 1<\/span>\n<p style=\"text-align: justify;\">\u0907\u0938 \u0905\u0902\u0924\u093f\u092e \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0947 \u0938\u093e\u0925, \u0905\u092c \u0939\u092e \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u0942\u0924\u094d\u0930 \u0915\u0947 \u092e\u093e\u092a\u0926\u0902\u0921\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u090f\u0915 \u0938\u0940\u0927\u093e \u0938\u0902\u092c\u0902\u0927 \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u0939\u092e\u0947\u0902 \u092e\u093e\u0928\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u092e\u0947\u0902 \u091b\u093f\u092a\u0940 \u0939\u0941\u0908 \u0938\u092d\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u094b \u092a\u094d\u0930\u0915\u091f \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u093e \u0939\u0948:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0915\u0947\u0902\u0926\u094d\u0930 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, -\\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/li>\n<li>\u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0905\u0930\u094d\u0927-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<li>\u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0905\u0930\u094d\u0927-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0907\u0928 \u091c\u093e\u0928\u0915\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925, \u0905\u092c \u0939\u092e \u0938\u0940\u0927\u0947 \u092e\u093e\u0928\u0915 \u0930\u0942\u092a \u0938\u0947 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u092a\u0939\u091a\u093e\u0928 \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0915\u093e \u0917\u094d\u0930\u093e\u092b \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u094b\u0917\u093e:<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><\/noscript><\/p>\n<p>   <a name=\"5\"><\/a><\/p>\n<h2>\u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=911s\" target=\"_blank\" rel=\"noopener\"><strong>\u090f\u0915 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u0924\u0930\u094d\u0915 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f,<\/strong><\/a> \u0906\u092a \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u092a\u0942\u0930\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u092e\u093e\u0928\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902, \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0907\u0924\u0928\u093e \u0938\u092e\u093e\u0928 \u0939\u0948 \u0915\u093f \u092e\u0948\u0902 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u094b \u092f\u0939\u093e\u0901 \u0915\u0949\u092a\u0940 \u0914\u0930 \u092a\u0947\u0938\u094d\u091f \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0942\u0901, \u0915\u0947\u0935\u0932 \u0915\u0941\u091b \u0939\u093f\u0938\u094d\u0938\u094b\u0902 \u0915\u094b \u092c\u0926\u0932\u0924\u0947 \u0939\u0941\u090f\u0964<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/td>\n<td>; \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u093e \u092e\u093e\u0928\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\u0964<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) - \\gamma \\left(y^2 - \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/td>\n<td>; \u092a\u0926\u094b\u0902 \u0915\u093e \u092a\u0941\u0928\u0930\u094d\u0917\u0920\u0928 \u0914\u0930 \u092a\u0941\u0928\u0930\u094d\u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 - \\gamma \\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<td>; \u0935\u0930\u094d\u0917 \u092a\u0942\u0930\u094d\u0923 \u0915\u0930\u0928\u093e \u0914\u0930 \u092a\u0941\u0928\u0930\u094d\u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0915\u0930\u0928\u093e<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\gamma \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u0938\u092d\u0940 \u092a\u0926\u094b\u0902 \u0915\u094b <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span> \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0928\u093e<\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0914\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u0915\u094b \u092a\u0941\u0928\u0930\u094d\u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0915\u0930\u0928\u093e<\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 - \\left( \\dfrac{y - \\left(\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/td>\n<td>; \u0935\u0930\u094d\u0917\u092e\u0942\u0932\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092a\u0941\u0928\u0930\u094d\u0917\u0920\u0928<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0907\u0928 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937\u094b\u0902 \u0938\u0947, \u0905\u092c \u0939\u092e \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u093e \u0917\u094d\u0930\u093e\u092b \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u092c\u0928\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left(\\dfrac{x-h}{a} \\right)^2 - \\left(\\dfrac{y-k}{b} \\right)^2 =1 <\/span>\n<p style=\"text-align: justify;\">\u0905\u092c, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924, \u092f\u0939\u093e\u0901 \u00ab\u0909\u0924\u094d\u092a\u093e\u0926\u0915 \u092c\u0949\u0915\u094d\u0938\u00bb \u0915\u0940 \u092c\u093e\u0924 \u0915\u0930\u0928\u093e \u0905\u0927\u093f\u0915 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0939\u0948, \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e \u0906\u0917\u0947 \u0915\u0940 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902 \u0926\u0947\u0916\u0947\u0902\u0917\u0947:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0915\u0947\u0902\u0926\u094d\u0930 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, \\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/li>\n<li>\u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0905\u0930\u094d\u0927-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<li>\u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0905\u0930\u094d\u0927-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<\/ul>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0907\u0928 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923\u094b\u0902 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a, \u0939\u092e \u0905\u092c \u092c\u093f\u0928\u093e \u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u0915\u0920\u093f\u0928\u093e\u0908 \u0915\u0947 \u0936\u0902\u0915\u0941 \u0916\u0902\u0921 \u092a\u0930\u093f\u0935\u093e\u0930 \u0915\u0947 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0926\u0938\u094d\u092f \u0915\u093e \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>   <a name=\"6\"><\/a><\/p>\n<h2>\u0938\u092e\u093e\u0927\u093e\u0928 \u0905\u092d\u094d\u092f\u093e\u0938<\/h2>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/PKjQrcC0HG4\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0936\u0902\u0915\u0941 \u0916\u0902\u0921: \u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901 \u0914\u0930 \u0917\u094d\u0930\u093e\u092b \u0938\u093e\u0930\u093e\u0902\u0936: \u0907\u0938 \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902, \u0939\u092e \u0936\u0902\u0915\u0941 \u0916\u0902\u0921\u094b\u0902 (\u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f) \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0930\u0947\u0902\u0917\u0947, \u0909\u0928\u0915\u0940 \u092e\u093e\u0928\u0915 \u0914\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0938\u0947 \u0936\u0941\u0930\u0941\u0906\u0924 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f\u0964 \u0939\u092e \u092f\u0939 \u0938\u092e\u091d\u093e\u090f\u0901\u0917\u0947 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u0915\u094d\u0930 \u0930\u0947\u0916\u093e \u0915\u0940 \u092a\u0939\u091a\u093e\u0928 \u0914\u0930 \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u0915\u0948\u0938\u0947 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u092a\u0930\u0935\u0932\u092f\u094b\u0902 \u092e\u0947\u0902 \u0936\u0940\u0930\u094d\u0937 \u092c\u093f\u0902\u0926\u0941, \u0915\u0947\u0902\u0926\u094d\u0930 \u0914\u0930 \u0938\u092e\u092e\u093f\u0924 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":29020,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":2,"footnotes":""},"categories":[577,593],"tags":[],"class_list":["post-29027","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-577","category-593"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0936\u0902\u0915\u0941 \u0916\u0902\u0921: \u092a\u0930\u0935\u0932\u092f, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901 \u0914\u0930 \u0917\u094d\u0930\u093e\u092b - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0936\u0902\u0915\u0941 \u0916\u0902\u0921 \u0935\u0947 \u0935\u0915\u094d\u0930 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