{"id":1016,"date":"2024-01-30T12:16:22","date_gmt":"2024-01-30T06:16:22","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=1016"},"modified":"2024-11-03T21:24:12","modified_gmt":"2024-11-03T15:24:12","slug":"tangent-and-normal-of-a-circle","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/tangent-and-normal-of-a-circle\/","title":{"rendered":"\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u0993 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac (Tangent and Normal of a circle)"},"content":{"rendered":"<h2><span style=\"color: #339966;\"><b>\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u0995\u09be\u0995\u09c7 \u09ac\u09b2\u09c7? <\/b><b>(Tangent of a circle)<\/b><\/span><b><span style=\"color: #339966;\">:<\/span> <\/b><\/h2>\n<p><span style=\"font-weight: 400;\">\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf, <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">PQ<\/span><\/span><span style=\"font-weight: 400;\"> \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u098f\u0995\u099f\u09bf \u09ac\u09c3\u09a4\u09cd\u09a4\u0995\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">P,Q<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u099b\u09c7\u09a6 \u0995\u09b0\u09c7\u099b\u09c7\u0964 \u09af\u09a6\u09bf<\/span><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">PQ<\/span><\/span><span style=\"font-weight: 400;\"> \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u099f\u09bf\u0995\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b0\u09c7\u0996\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0995\u09c7 \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09aa\u09b0\u09bf\u09a7\u09bf \u09ac\u09b0\u09be\u09ac\u09b0 \u098f\u09ae\u09a8\u09ad\u09be\u09ac\u09c7 \u0998\u09c1\u09b0\u09be\u0987 \u09af\u09c7\u09a8 <span class=\"katex-eq\" data-katex-display=\"false\">Q<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u0995\u09cd\u09b0\u09ae\u09b6 <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09a8\u09bf\u0995\u099f\u09ac\u09b0\u09cd\u09a4\u09c0 \u09b9\u09df\u09c7 \u09b8\u09ac\u09b6\u09c7\u09b7\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09ae\u09be\u09aa\u09a4\u09bf\u09a4 \u09b9\u09df\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b9\u09df \u09a4\u09ac\u09c7 \u09b8\u09b0\u09cd\u09ac\u09b6\u09c7\u09b7 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u099f\u09bf <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09ac\u09c3\u09a4\u09cd\u09a4\u099f\u09bf\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/wiki.dtonline.org\/images\/thumb\/d\/dc\/CircleParts.png\/300px-CircleParts.png\" alt=\"\u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u0995\u09be\u0995\u09c7 \u09ac\u09b2\u09c7\" width=\"300\" height=\"277\" \/><\/p>\n<p><span style=\"font-weight: 400;\">\u0995\u09cb\u09a8\u09cb \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u098f\u0995\u099f\u09bf \u09ac\u09c3\u09a4\u09cd\u09a4\u0995\u09c7 \u09a6\u09c1\u0987\u099f\u09bf \u09b8\u09ae\u09be\u09aa\u09a4\u09bf\u09a4 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u099b\u09c7\u09a6 \u0995\u09b0\u09b2\u09c7 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u099f\u09bf\u0995\u09c7 \u09ac\u09c3\u09a4\u09cd\u09a4\u099f\u09bf\u09b0 \u0990 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0995\u09c7 <strong>\u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995<\/strong> \u09ac\u09b2\u09c7\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">PT<\/span><\/span><span style=\"font-weight: 400;\">\u00a0<strong>\u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995<\/strong>\u0964\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09af\u09c7 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u099f\u09bf \u09ac\u0995\u09cd\u09b0\u09b0\u09c7\u0996\u09be\u099f\u09bf\u09b0 \u09b8\u09be\u09a5\u09c7 \u09ae\u09bf\u09b2\u09bf\u09a4 \u09b9\u09df \u09a4\u09be\u0995\u09c7 <strong>\u09b8\u09cd\u09aa\u09b0\u09cd\u09b6 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1<\/strong> <strong>(Point of Contact)<\/strong> \u09ac\u09b2\u09c7\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span><\/span><span style=\"font-weight: 400;\"> \u09b9\u09b2 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0964<\/span><\/p>\n<h3><span style=\"color: #800080;\"><strong>\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u09ac\u09c8\u09b6\u09bf\u09b7\u09cd\u099f\u09cd\u09af (Properties of a Tangent of a circle):<\/strong><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u0995\u09df\u09c7\u0995\u099f\u09bf \u09ac\u09c8\u09b6\u09bf\u09b7\u09cd\u099f\u09cd\u09af \u0986\u099b\u09c7 \u09af\u09be\u09b0 \u098f \u0985\u09a7\u09cd\u09af\u09be\u09df\u09c7 \u09aa\u09cd\u09b0\u09be\u09df\u09cb\u0997\u09bf\u0995 \u0997\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac \u0986\u099b\u09c7\u0964 \u09af\u09c7\u09ae\u09a8 &#8211;<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/academic\/10\/\">\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0<\/a><\/span> \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u0993 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u0993 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09b8\u0982\u09af\u09cb\u099c\u0995 \u09b0\u09c7\u0996\u09be \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u0989\u09aa\u09b0 \u09b2\u09ae\u09cd\u09ac \u09b9\u09df\u0964<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.youtube.com\/watch?v=zkop3GyuFOA&amp;list=PLz2TLmgSzNOIUc7AjW9e9wIef-YqqyiVg\" target=\"_blank\" rel=\"noopener\">\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0<\/a><\/span> \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u09ac\u09c3\u09a4\u09cd\u09a4\u099f\u09bf\u0995\u09c7 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09ad\u09bf\u09a8\u09cd\u09a8 \u0985\u09aa\u09b0 \u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u099b\u09c7\u09a6 \u0995\u09b0\u09c7 \u09a8\u09be\u0964<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/li>\n<\/ul>\n<h2><span style=\"color: #339966;\"><b>\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac <\/b><b>(Normal of a circle)<\/b><\/span><b><span style=\"color: #339966;\">:<\/span> <\/b><\/h2>\n<p><span style=\"font-weight: 400;\">\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u0989\u09aa\u09b0 \u09b2\u09ae\u09cd\u09ac\u09b0\u09c7\u0996\u09be\u0995\u09c7 <strong>\u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac<\/strong> \u09ac\u09b2\u09c7\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">PO<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac\u0964 \u0995\u09cb\u09a8 \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac \u098f\u09b0 <strong>\u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1<\/strong> \u09a6\u09bf\u09df\u09c7 \u09af\u09be\u09df\u0964<\/span><\/p>\n<h3><span style=\"color: #800080;\"><b>\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u0993 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 <\/b><b>(Equation of Tangent and normal to a circle)<\/b><b>:<\/b><\/span><\/h3>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2+2gx+2fy+c=0<\/span> \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0989\u09aa\u09b0\u09bf\u09b8\u09cd\u09a5\u09bf\u09a4 <span class=\"katex-eq\" data-katex-display=\"false\">P(x_1,y_1)<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u0985\u0999\u09cd\u0995\u09bf\u09a4 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3, <span class=\"katex-eq\" data-katex-display=\"false\">xx_1+yy_1+g(x+x_1)+f(y+y_1)+c=0<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2+2gx+2fy+c=0......(1)<\/span> \u09ac\u09c3\u09a4\u09cd\u09a4\u099f\u09bf\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 <span class=\"katex-eq\" data-katex-display=\"false\">O(-g,\u00a0-f)<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u098f\u09ac\u0982 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 <\/span><span style=\"font-weight: 400;\">=<span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{g^2+f^2-c}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(x_1,y_1)<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u099f\u09bf <\/span><span style=\"font-weight: 400;\">(1)<\/span><span style=\"font-weight: 400;\"> \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0989\u09aa\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09ac\u09b2\u09c7,<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">x_1^2+y_1^2+2gx_1+2fy_1+c=0......(2)\u00a0<\/span>\n<p><span style=\"font-weight: 400;\">\u09a7\u09b0\u09bf \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u099f\u09bf\u09b0 \u0989\u09aa\u09b0 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 <span class=\"katex-eq\" data-katex-display=\"false\">Q(x,\u00a0y)<\/span><\/span><span style=\"font-weight: 400;\">\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">OP<\/span> \u098f\u09b0 \u09a2\u09be\u09b2 <\/span><span style=\"font-weight: 400;\">=<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{y_1+f}{x_1+g}<\/span><\/span><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 <span class=\"katex-eq\" data-katex-display=\"false\">PQ<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u098f\u09b0 \u09a2\u09be\u09b2 <\/span><span style=\"font-weight: 400;\">=<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{y-y_1}{x-x_1}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">P(x_1,y_1)<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 <\/span><span style=\"font-weight: 400;\">(1)<\/span><span style=\"font-weight: 400;\"> \u09ac\u09c3\u09a4\u09cd\u09a4\u099f\u09bf\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 <span class=\"katex-eq\" data-katex-display=\"false\">PQ<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09b2\u09c7, <span class=\"katex-eq\" data-katex-display=\"false\">OP\\perp PQ<\/span><\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\therefore \\frac{y_1+f}{x_1+g}\\times \\frac{y-y_1}{x-x_1}=-1\\\\\n\n\\Rightarrow yy_1-y_1^2+fy-fy_1=-(xx_1-x_1^2+gx-gx_1)\\\\\n\n\\Rightarrow yy_1-y_1^2+fy-fy_1=-xx_1+x_1^2-gx+gx_1\\\\\n\n\\Rightarrow xx_1+yy_1+gx+gx_1+fy+fy_1+c=x_1^2+y_1^2+2gx_1+2fy_1+c\\\\\n\n\\therefore xx_1+yy_1+gx+gx_1+fy+fy_1+c=0 [(2) \u09b9\u09a4\u09c7]<\/span>\n<p><span style=\"font-weight: 400;\">\u098f \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09df, <span class=\"katex-eq\" data-katex-display=\"false\">xx_1+yy_1+gx+2g\\frac{x+x_1}{2}+2f\\frac{y+y_1}{2}+c=0<\/span><\/span><\/p>\n<p><b>\u09ac\u09bf.\u09a6\u09cd\u09b0.: <\/b><span style=\"font-weight: 400;\">\u09af\u09c7\u0995\u09cb\u09a8\u09cb \u09a6\u09cd\u09ac\u09bf\u0998\u09be\u09a4 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7 (\u09ac\u09c3\u09a4\u09cd\u09a4, \u09aa\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4, \u0989\u09aa\u09ac\u09c3\u09a4\u09cd\u09a4, \u0985\u09a7\u09bf\u09ac\u09c3\u09a4\u09cd\u09a4 \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf) <span class=\"katex-eq\" data-katex-display=\"false\">x^2<\/span><\/span><span style=\"font-weight: 400;\"> \u098f\u09b0 \u09b8\u09cd\u09a5\u09b2\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">xx_1, y^2<\/span><\/span><span style=\"font-weight: 400;\"> \u098f\u09b0 \u09b8\u09cd\u09a5\u09b2\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">yy_1,\u00a0x<\/span><\/span><span style=\"font-weight: 400;\">\u00a0<\/span><span style=\"font-weight: 400;\">\u098f\u09b0 \u09b8\u09cd\u09a5\u09b2\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{x+x_1}{2}<\/span><\/span><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span><\/span><span style=\"font-weight: 400;\"> \u098f\u09b0 \u09b8\u09cd\u09a5\u09b2\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{y+y_1}{2}<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09b8\u09be\u09b2\u09c7, <span class=\"katex-eq\" data-katex-display=\"false\">(x_1,y_1)<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09df\u0964<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<h3><span style=\"color: #800080;\"><b>\u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac <\/b><b>(Normal of a circle)<\/b><b>:<\/b><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u0995\u09cb\u09a8\u09cb \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0997\u09be\u09ae\u09c0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u0989\u09aa\u09b0 \u09b2\u09ae\u09cd\u09ac \u09b0\u09c7\u0996\u09be\u0995\u09c7 \u0990 \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac \u09ac\u09b2\u09be \u09b9\u09df\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf, <span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2=r^2<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0989\u09aa\u09b0 <span class=\"katex-eq\" data-katex-display=\"false\">(x_1,y_1)<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x_1,y_1)<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3,<\/span><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">xx_1+yy_1=r^2......(1)\u00a0<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x_1,y_1)<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0997\u09be\u09ae\u09c0 <span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09b0 \u0989\u09aa\u09b0 \u09b2\u09ae\u09cd\u09ac\u09b0\u09c7\u0996\u09be\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3,<\/span><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">xy_1-yx_1=x_1y_1-x_1y_1<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">x_1y-y_1x=0<\/span> \u098f\u099f\u09bf\u0987 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0964\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0985\u09a8\u09c1\u09b0\u09c2\u09aa\u09ad\u09be\u09ac\u09c7, <span class=\"katex-eq\" data-katex-display=\"false\">(x_1,y_1)<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2+2gx+2fy+c=0<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3, <span class=\"katex-eq\" data-katex-display=\"false\">(y_1+f)x-(x_1+g)y+gy_1-fx_1=0<\/span><\/span><\/p>\n<p><b>\u09ac\u09bf.\u09a6\u09cd\u09b0.:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09bf \u09aa\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4, \u0985\u09a7\u09bf\u09ac\u09c3\u09a4\u09cd\u09a4, \u0989\u09aa\u09ac\u09c3\u09a4\u09cd\u09a4 \u098f\u09b0 \u099c\u09a8\u09cd\u09af\u0993 \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af\u0964<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0985\u09ad\u09bf\u09b2\u09ae\u09cd\u09ac \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u0997\u09be\u09ae\u09c0 \u09b9\u09df\u0964<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #800080;\"><span class=\"katex-eq\" data-katex-display=\"false\">y=mx+c<\/span><b> \u09b0\u09c7\u0996\u09be\u099f\u09bf <\/b><span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2=r^2<\/span><b>\u00a0\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u09b9\u0993\u09df\u09be\u09b0 \u09b6\u09b0\u09cd\u09a4:<\/b><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u09af\u09c7\u09b9\u09c7\u09a4\u09c1 <span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2=r^2<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">(x_1,y_1)<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3,<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">xx_1+yy_1=r^2......(1)\u00a0<\/span>\n<p><span style=\"font-weight: 400;\">\u09b8\u09c1\u09a4\u09b0\u09be\u0982 <span class=\"katex-eq\" data-katex-display=\"false\">y=mx+c<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09ac\u09be, <span class=\"katex-eq\" data-katex-display=\"false\">-mx+y=c......(2)<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09b0\u09c7\u0996\u09be\u099f\u09bf \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u09b9\u09b2\u09c7 <\/span><span style=\"font-weight: 400;\">(1)<\/span><span style=\"font-weight: 400;\"> \u0993 <\/span><span style=\"font-weight: 400;\">(2)<\/span><span style=\"font-weight: 400;\"> \u0985\u09ad\u09bf\u09a8\u09cd\u09a8\u0964<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\therefore \\frac{x_1}{-m}=\\frac{y_1}{1}=\\frac{r^2}{c}\\\\\n\n\\Rightarrow x_1=-\\frac{mr^2}{c},y_1=\\frac{r^2}{c}<\/span>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\therefore (x_1,y_1)<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u099f\u09bf <\/span><span style=\"font-weight: 400;\">(2)<\/span><span style=\"font-weight: 400;\"> \u09a8\u0982 \u09b0\u09c7\u0996\u09be\u09b0 \u0989\u09aa\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982, <span class=\"katex-eq\" data-katex-display=\"false\">(x_1,y_1)<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 <\/span><span style=\"font-weight: 400;\">(2)\u00a0<\/span><span style=\"font-weight: 400;\">\u0995\u09c7 \u09b8\u09bf\u09a6\u09cd\u09a7 \u0995\u09b0\u09ac\u09c7\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0985\u09a4\u098f\u09ac, <span class=\"katex-eq\" data-katex-display=\"false\">y_1=mx_1+c\\\\\n\n\\Rightarrow \\frac{r^2}{c}=-\\frac{m^2r^2}{c}+c [x_1,y_1\\; \u098f\u09b0\\; \u09ae\u09be\u09a8\\; \u09ac\u09b8\u09bf\u09df\u09c7]\\\\\n\n\\Rightarrow r^2=-m^2r^2+c^2 [c\\; \u09a6\u09bf\u09df\u09c7\\; \u0997\u09c1\u09a3\\; \u0995\u09b0\u09c7]\\\\\n\n\\Rightarrow c^2=r^2(1+m^2)\\\\\n\n\\therefore c= \\pm r\\sqrt{1+m^2}\u00a0<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09b8\u09c1\u09a4\u09b0\u09be\u0982,<\/span><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">y=mx+c<\/span><\/span><span style=\"font-weight: 400;\"> \u09b0\u09c7\u0996\u09be\u099f\u09bf <span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2=r^2<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u09b9\u0993\u09df\u09be\u09b0 \u09b6\u09b0\u09cd\u09a4: <span class=\"katex-eq\" data-katex-display=\"false\">c=\\pm r\\sqrt{1+m^2}<\/span><\/span><\/p>\n<p><b>\u0985\u09a8\u09c1\u09b8\u09bf\u09a6\u09cd\u09a7\u09be\u09a8\u09cd\u09a4-\u09e7: <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/b><span style=\"font-weight: 400;\"> \u098f\u09b0 \u09b8\u0995\u09b2 \u09ae\u09be\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af <span class=\"katex-eq\" data-katex-display=\"false\">y=mx\\pm r\\sqrt{1+m^2}<\/span><\/span><span style=\"font-weight: 400;\"> \u09b0\u09c7\u0996\u09be\u099f\u09bf <span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2=r^2<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u09b9\u09ac\u09c7\u0964<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<p><b>\u0985\u09a8\u09c1\u09b8\u09bf\u09a6\u09cd\u09a7\u09be\u09a8\u09cd\u09a4-\u09e8:<\/b><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">y=mx+c<\/span> \u09b0\u09c7\u0996\u09be\u099f\u09bf <span class=\"katex-eq\" data-katex-display=\"false\">x^2+y^2=r^2<\/span><\/span><span style=\"font-weight: 400;\"> \u09ac\u09c3\u09a4\u09cd\u09a4\u0995\u09c7 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6 \u0995\u09b0\u09b2\u09c7, \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09b8\u09cd\u09a5\u09be\u09a8\u09be\u0999\u09cd\u0995 <span class=\"katex-eq\" data-katex-display=\"false\">\\Big(\\frac{-mr}{\\sqrt{1+m_2}},\u00a0\\frac{r}{\\sqrt{1+m_2}} \\Big)<\/span><\/span><\/p>\n<p><b>\u09aa\u09cd\u09b0\u09ae\u09be\u09a3:\u00a0<\/b><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">x_1=-\\frac{mr_2}{c}=-\\frac{mr^2}{r\\sqrt{1+m^2}}=-\\frac{mr}{\\sqrt{1+m^2}} [\\because c=\\pm r\\sqrt{1+m^2}]\\\\\n\ny_1=\\frac{r^2}{c}=\\frac{r^2}{r\\sqrt{1+m^2}}=\\frac{r}{1+m^2} [\\because c=\\pm r\\sqrt{1+m^2}]<\/span>\n<p>&nbsp;<\/p>\n<hr \/>\n<div class=\"x1tlxs6b x1g8br2z x1gn5b1j x230xth x14ctfv x1okitfd x6ikm8r x10wlt62 x1mzt3pk x1y1aw1k xn6708d xwib8y2 x1ye3gou x1n2onr6 x13faqbe x1vjfegm\" role=\"none\">\n<div class=\"\">\n<div class=\"x9f619 x1n2onr6 x1ja2u2z __fb-light-mode\" role=\"none\">\n<p dir=\"auto\" role=\"none\">\n<p class=\"x6prxxf x1fc57z9 x1yc453h x126k92a xzsf02u\" dir=\"auto\" role=\"none\"><em><strong>\u098f\u0987\u099a\u098f\u09b8\u09b8\u09bf \u0993 \u098f\u09a1\u09ae\u09bf\u09b6\u09a8 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09b0\u09cd\u09a5\u09c0\u09a6\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u0986\u09ae\u09be\u09a6\u09c7\u09b0 \u0995\u09cb\u09b0\u09cd\u09b8\u09b8\u09ae\u09c2\u09b9\u0983<\/strong><\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<ul>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/hsc-25-online-batch-2-bangla-english-ict\/\">HSC 25 \u0985\u09a8\u09b2\u09be\u0987\u09a8 \u09ac\u09cd\u09af\u09be\u099a \u09e8.\u09e6 (\u09ac\u09be\u0982\u09b2\u09be, \u0987\u0982\u09b0\u09c7\u099c\u09bf, \u09a4\u09a5\u09cd\u09af \u0993 \u09af\u09cb\u0997\u09be\u09af\u09cb\u0997 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4\u09bf)<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/hsc-26-online-batch-bangla-english-ict\/\">HSC 26 \u0985\u09a8\u09b2\u09be\u0987\u09a8 \u09ac\u09cd\u09af\u09be\u099a (\u09ac\u09be\u0982\u09b2\u09be, \u0987\u0982\u09b0\u09c7\u099c\u09bf, \u09a4\u09a5\u09cd\u09af \u0993 \u09af\u09cb\u0997\u09be\u09af\u09cb\u0997 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4\u09bf)<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/hsc-2025-online-batch\/\">HSC 25 \u0985\u09a8\u09b2\u09be\u0987\u09a8 \u09ac\u09cd\u09af\u09be\u099a (\u09ab\u09bf\u099c\u09bf\u0995\u09cd\u09b8, \u0995\u09c7\u09ae\u09bf\u09b8\u09cd\u099f\u09cd\u09b0\u09bf, \u09ae\u09cd\u09af\u09be\u09a5, \u09ac\u09be\u09df\u09cb\u09b2\u099c\u09bf)<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/hsc-2026-online-batch\/\">HSC 26 \u0985\u09a8\u09b2\u09be\u0987\u09a8 \u09ac\u09cd\u09af\u09be\u099a (\u09ab\u09bf\u099c\u09bf\u0995\u09cd\u09b8, \u0995\u09c7\u09ae\u09bf\u09b8\u09cd\u099f\u09cd\u09b0\u09bf, \u09ae\u09cd\u09af\u09be\u09a5, \u09ac\u09be\u09df\u09cb\u09b2\u099c\u09bf)<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/medical-admission-course\/\">\u09ae\u09c7\u09a1\u09bf\u0995\u09c7\u09b2 \u098f\u09a1\u09ae\u09bf\u09b6\u09a8 \u0995\u09cb\u09b0\u09cd\u09b8 &#8211; \u09e8\u09e6\u09e8\u09ea<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/dhaka-university-a-unit-admission-course\/\">\u09a2\u09be\u0995\u09be \u09ad\u09be\u09b0\u09cd\u09b8\u09bf\u099f\u09bf A Unit \u098f\u09a1\u09ae\u09bf\u09b6\u09a8 \u0995\u09cb\u09b0\u09cd\u09b8 &#8211; \u09e8\u09e6\u09e8\u09ea<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/dhaka-university-b-unit-admission-course\/\">\u09a2\u09be\u0995\u09be \u09ad\u09be\u09b0\u09cd\u09b8\u09bf\u099f\u09bf B Unit \u098f\u09a1\u09ae\u09bf\u09b6\u09a8 \u0995\u09cb\u09b0\u09cd\u09b8 &#8211; \u09e8\u09e6\u09e8\u09ea<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/buet-ques-solve\/\">\u09ac\u09c1\u09df\u09c7\u099f \u0995\u09cb\u09b6\u09cd\u099a\u09c7\u09a8 \u09b8\u09b2\u09ad \u0995\u09cb\u09b0\u09cd\u09b8<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/gst-a-unit-admission-course\/\">\u0997\u09c1\u099a\u09cd\u099b A Unit \u098f\u09a1\u09ae\u09bf\u09b6\u09a8 \u0995\u09cb\u09b0\u09cd\u09b8 &#8211; \u09e8\u09e6\u09e8\u09ea<\/a><\/span><\/li>\n<li role=\"none\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/gst-b-unit-admission-course\/\">\u0997\u09c1\u099a\u09cd\u099b B Unit \u098f\u09a1\u09ae\u09bf\u09b6\u09a8 \u0995\u09cb\u09b0\u09cd\u09b8 &#8211; \u09e8\u09e6\u09e8\u09ea<\/a><\/span><\/li>\n<\/ul>\n<hr \/>\n<p>&nbsp;<\/p>\n<p><em><strong>\u0986\u09ae\u09be\u09a6\u09c7\u09b0 \u09b8\u09cd\u0995\u09bf\u09b2 \u09a1\u09c7\u09ad\u09c7\u09b2\u09aa\u09ae\u09c7\u09a8\u09cd\u099f \u0995\u09cb\u09b0\u09cd\u09b8\u09b8\u09ae\u09c2\u09b9\u0983<\/strong><\/em><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/study-abroad-complete-guideline\/\">\u09ac\u09bf\u09a6\u09c7\u09b6\u09c7 \u0989\u099a\u09cd\u099a\u09b6\u09bf\u0995\u09cd\u09b7\u09be: Study Abroad Complete Guideline<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/student-hacks\/\">Student Hacks<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/ielts-course\/\">IELTS Course by Munzereen Shahid<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/english-grammar-course\/\">Complete English Grammar Course<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/ms-bundle\/\"> Microsoft Office 3 in 1 Bundle<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/ghore-boshe-freelancing\/\">\u0998\u09b0\u09c7 \u09ac\u09b8\u09c7 Freelancing<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/facebook-marketing\/\">Facebook Marketing<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/10minuteschool.com\/product\/adobe-4-in-1-bundle\/\">Adobe 4 in 1 Bundle<\/a><\/span><\/li>\n<\/ul>\n<hr \/>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><em>\u09e7<\/em><em>\u09e6 \u09ae\u09bf\u09a8\u09bf\u099f \u09b8\u09cd\u0995\u09c1\u09b2\u09c7\u09b0 \u0995\u09cd\u09b2\u09be\u09b8\u0997\u09c1\u09b2\u09cb \u0985\u09a8\u09c1\u09b8\u09b0\u09a3 \u0995\u09b0\u09a4\u09c7 \u09ad\u09bf\u099c\u09bf\u099f: <span style=\"color: #993300;\"><strong><a style=\"color: #993300;\" href=\"https:\/\/10minuteschool.com\/?ref=https%3A%2F%2Fblog.10minuteschool.com%2Fwordpress%2F&amp;post_id=78178&amp;blog_category_id=700\">www.10minuteschool.com<\/a><\/strong><\/span><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u0995 \u0995\u09be\u0995\u09c7 \u09ac\u09b2\u09c7? (Tangent of a circle): \u09ae\u09a8\u09c7 \u0995\u09b0\u09bf, \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u098f\u0995\u099f\u09bf \u09ac\u09c3\u09a4\u09cd\u09a4\u0995\u09c7 \u00a0\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u099b\u09c7\u09a6 \u0995\u09b0\u09c7\u099b\u09c7\u0964 \u09af\u09a6\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u099f\u09bf\u0995\u09c7 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b0\u09c7\u0996\u09c7 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0995\u09c7 \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09aa\u09b0\u09bf\u09a7\u09bf \u09ac\u09b0\u09be\u09ac\u09b0 \u098f\u09ae\u09a8\u09ad\u09be\u09ac\u09c7 \u0998\u09c1\u09b0\u09be\u0987 \u09af\u09c7\u09a8 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u0995\u09cd\u09b0\u09ae\u09b6 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09a8\u09bf\u0995\u099f\u09ac\u09b0\u09cd\u09a4\u09c0 \u09b9\u09df\u09c7 \u09b8\u09ac\u09b6\u09c7\u09b7\u09c7 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09b8\u09ae\u09be\u09aa\u09a4\u09bf\u09a4 \u09b9\u09df\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b9\u09df \u09a4\u09ac\u09c7<\/p>\n<p> <a class=\"redmore\" href=\"https:\/\/10minuteschool.com\/content\/tangent-and-normal-of-a-circle\/\">Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4259,3037,50,3026],"tags":[890,889,887,888],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/1016"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=1016"}],"version-history":[{"count":7,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/1016\/revisions"}],"predecessor-version":[{"id":16113,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/1016\/revisions\/16113"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=1016"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=1016"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=1016"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}