{"id":52495,"date":"2021-05-31T16:28:46","date_gmt":"2021-05-31T10:58:46","guid":{"rendered":"https:\/\/samacheerkalviguru.com\/?p=52495"},"modified":"2021-05-31T16:28:46","modified_gmt":"2021-05-31T10:58:46","slug":"samacheer-kalvi-10th-maths-guide-chapter-5-ex-5-3-in-tamil","status":"publish","type":"post","link":"https:\/\/samacheerkalviguru.com\/samacheer-kalvi-10th-maths-guide-chapter-5-ex-5-3-in-tamil\/","title":{"rendered":"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3"},"content":{"rendered":"<p>Tamilnadu State Board New Syllabus\u00a0<a href=\"https:\/\/samacheerkalviguru.com\/samacheer-kalvi-10th-maths-book-solutions\/\">Samacheer Kalvi 10th Maths Guide<\/a> Pdf Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3 Textbook Questions and Answers, Notes.<\/p>\n<h2>TN Board 10th Maths Solutions Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3<\/h2>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 1.<br \/>\n(1,-5) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd (4,2) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bc8 \u0b87\u0ba3\u0bc8\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bcd \u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba8\u0b9f\u0bc1\u0baa\u0bcd\u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf\u0baf\u0bbe\u0b95\u0b9a\u0bcd \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0ba4\u0bc1\u0bae\u0bcd, \u0b95\u0bc0\u0bb4\u0bcd\u0b95\u0bcd\u0b95\u0ba3\u0bcd\u0b9f\u0bb5\u0bb1\u0bcd\u0bb1\u0bbf\u0bb1\u0bcd\u0b95\u0bc1 \u0b87\u0ba3\u0bc8\u0baf\u0bbe\u0ba9\u0ba4\u0bc1\u0bae\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95. (i) X &#8211; \u0b85\u0b9a\u0bcd\u0b9a\u0bc1 (ii) Y &#8211; \u0b85\u0b9a\u0bcd\u0b9a\u0bc1<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n(1, -5) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd (4, 2) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bc8 \u0b87\u0ba3\u0bc8\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bcd \u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd \u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba8\u0b9f\u0bc1\u0baa\u0bcd\u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf<br \/>\n\\(\\left(\\frac{1+4}{2}, \\frac{-5+2}{2}\\right)=\\left(\\frac{5}{2}, \\frac{-3}{2}\\right)\\)<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bbe\u0ba9\u0ba4\u0bc1 x \u0b85\u0b9a\u0bcd\u0b9a\u0bc1\u0b95\u0bcd\u0b95\u0bc1 \u0b87\u0ba3\u0bc8\u0baf\u0bbe\u0b95 \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. \u0b8e\u0ba9\u0bb5\u0bc7, \u03b8 = 0, \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1<br \/>\nm = tan0\u00b0 = 0<br \/>\nm = 0<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1<br \/>\ny &#8211; y<sub>1<\/sub> = m (x &#8211; x<sub>1<\/sub>)<br \/>\ny + \\(\\frac{3}{2}\\) = 0 (x &#8211; \\(\\frac{5}{2}\\)<br \/>\n\\(\\frac{2 y+3}{2}\\) = 0<br \/>\n2y + 3 = 0<br \/>\n2y = -3<br \/>\ny = \\(\\frac{-3}{2}\\)<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 2y + y = 0<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-49701\" src=\"https:\/\/samacheerkalviguru.com\/wp-content\/uploads\/2021\/02\/Samacheer-Kalvi-Guru.png\" alt=\"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3\" width=\"194\" height=\"15\" \/><\/p>\n<p>ii) y &#8211; \u0b85\u0b9a\u0bcd\u0b9a\u0bc1<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bbe\u0ba9\u0ba4\u0bc1 y- \u0b85\u0b9a\u0bcd\u0b9a\u0bc1\u0b95\u0bcd\u0b95\u0bc1<br \/>\n\u0b87\u0ba3\u0bc8\u0baf\u0bbe\u0b95 \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. \u0b8e\u0ba9\u0bb5\u0bc7, \u03b8 = 90\u00b0<br \/>\nm= tan\u03b8 = tan90\u00b0 = \u0bb5\u0bb0\u0bc8\u0baf\u0bb1\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bbe\u0ba4\u0ba4\u0bc1 = \\(\\frac{1}{0}\\)<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1<br \/>\ny-y<sub>1<\/sub> = m (x-x<sub>1<\/sub>)<br \/>\ny &#8211; \\(\\frac{3}{2}\\) = \\(\\frac{1}{0}\\)(x &#8211; \\(\\frac{5}{2}\\))<br \/>\n0(y &#8211; \\(\\frac{3}{2}\\) = x &#8211; \\(\\frac{5}{2}\\)<br \/>\n0 = \\(\\frac{2 x-5}{2}\\)<br \/>\n0 = 2x-5<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 2x &#8211; 5 = 0<\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 2.<br \/>\n2(x -y)+ 5 = 0 \u0b8e\u0ba9\u0bcd\u0bb1 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1, \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 \u0b95\u0bcb\u0ba3\u0bae\u0bcd \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd Y \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1 \u0b86\u0b95\u0bbf\u0baf\u0bb5\u0bb1\u0bcd\u0bb1\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bc1 2(x &#8211; y) + 5 = 0<br \/>\n2x &#8211; 2y + 5 = 0<br \/>\n2y = 2x + 5<br \/>\ny = \\(\\frac{2 x}{2}+\\frac{5}{2}\\)<br \/>\ny = x + \\(\\frac{5}{2}\\)<br \/>\n\u0b87\u0ba4\u0bc1 y = mx+c \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0bb2\u0bcd \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. \u0b8e\u0ba9\u0bb5\u0bc7, \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0bae\u0bcd \u0baa\u0bca\u0bb4\u0bc1\u0ba4\u0bc1,<br \/>\nm = 1 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd c = \\(\\frac{5}{2}\\)<br \/>\n\u0bb5\u0bbe\u0bb5\u0bbe\u0ba3\u0bc8\u0baf\u0bbe\u0ba9\u0bb5\u0bc8<br \/>\nm = tan\u03b8<br \/>\ntan\u03b8 = 1 = tan 45\u00b0<br \/>\n\u03b8 = 45\u00b0<br \/>\ny &#8211; \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 = \\(\\frac{5}{2}\\)<br \/>\n\u0bb5\u0bbf\u0b9f\u0bc8 : \u03b8 = 45\u00b0, y-\u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 = \\(\\frac{5}{2}\\), m = 1<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-49701\" src=\"https:\/\/samacheerkalviguru.com\/wp-content\/uploads\/2021\/02\/Samacheer-Kalvi-Guru.png\" alt=\"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3\" width=\"194\" height=\"15\" \/><\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 3.<br \/>\n\u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 \u0b95\u0bcb\u0ba3\u0bae\u0bcd 30\u00b0 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd y &#8211; \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1 -3 \u0b86\u0b95\u0bbf\u0baf\u0bb5\u0bb1\u0bcd\u0bb1\u0bc8\u0b95\u0bcd \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u03b8 = 30\u00b0<br \/>\n\u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 m = tan\u03b8 = tan30\u00b0<br \/>\nm = \\(\\frac{1}{\\sqrt{3}}\\)<br \/>\ny &#8211; \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 c = -3<br \/>\n\u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 y = mx + c<br \/>\nim 1<\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 4.<br \/>\n\\(\\sqrt{3} x+(1-\\sqrt{3}) y=3\\) \u0b8e\u0ba9\u0bcd\u0bb1 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1, y &#8211; \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1 \u0b86\u0b95\u0bbf\u0baf\u0bb5\u0bb1\u0bcd\u0bb1\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\nim 2<br \/>\nim 3<\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 5.<br \/>\n(-2,3) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd (8,5) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bcd \u0bb5\u0bb4\u0bbf\u0b9a\u0bcd \u0b9a\u0bc6\u0bb2\u0bcd\u0bb2\u0bc1\u0bae\u0bcd \u0b95\u0bcb\u0b9f\u0bbe\u0ba9\u0ba4\u0bc1, y = ax +2 \u0b8e\u0ba9\u0bcd\u0bb1 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0bb1\u0bcd\u0b95\u0bc1\u0b9a\u0bcd \u0b9a\u0bc6\u0b99\u0bcd\u0b95\u0bc1\u0ba4\u0bcd\u0ba4\u0bbe\u0ba9\u0ba4\u0bc1 \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd, &#8216;a&#8217; \u0ba9\u0bcd \u0bae\u0ba4\u0bbf\u0baa\u0bcd\u0baa\u0bc1 \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b87\u0bb0\u0ba3\u0bcd\u0b9f\u0bc1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bcd (-2,3)&amp;(8,5)<br \/>\n\u0b86\u0b95\u0bbf\u0baf\u0bb5\u0bb1\u0bcd\u0bb1\u0bbf\u0ba9\u0bcd \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1<br \/>\nm<sub>1<\/sub> = \\(\\frac{5-3}{8+2}=\\frac{2}{10}=\\frac{1}{5}\\)<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bbe\u0ba9\u0ba4\u0bc1 y = ax+2 \u0bb5\u0bbf\u0bb1\u0bcd\u0b95\u0bc1 \u0b9a\u0bc6\u0b99\u0bcd\u0b95\u0bc1\u0ba4\u0bcd\u0ba4\u0bbe\u0b95 \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. y = ax + 2<br \/>\ny = ax + 2<br \/>\nm<sub>2<\/sub> = a<br \/>\n\u0b87\u0bb0\u0ba3\u0bcd\u0b9f\u0bc1 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bc1\u0b95\u0bb3\u0bc1\u0bae\u0bcd \u0b92\u0ba9\u0bcd\u0bb1\u0bc1\u0b95\u0bcd\u0b95\u0bca\u0ba9\u0bcd\u0bb1\u0bc1 \u0b9a\u0bc6\u0b99\u0bcd\u0b95\u0bc1\u0ba4\u0bcd\u0ba4\u0bbe\u0b95 \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1.<br \/>\nm<sub>1<\/sub> x m<sub>2<\/sub> = -1<br \/>\n\\(\\frac{1}{5}\\) x a = -1 \u21d2 a = -5<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-49701\" src=\"https:\/\/samacheerkalviguru.com\/wp-content\/uploads\/2021\/02\/Samacheer-Kalvi-Guru.png\" alt=\"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3\" width=\"194\" height=\"15\" \/><\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 6.<br \/>\n(19, 3) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0baf\u0bc8 \u0b85\u0b9f\u0bbf\u0baf\u0bbe\u0b95\u0b95\u0bcd \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0b95\u0bc1\u0ba9\u0bcd\u0bb1\u0bbe\u0ba9\u0ba4\u0bc1 \u0b9a\u0bc6\u0b99\u0bcd\u0b95\u0bcb\u0ba3 \u0bae\u0bc1\u0b95\u0bcd\u0b95\u0bcb\u0ba3 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0bb2\u0bcd \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. \u0ba4\u0bb0\u0bc8\u0baf\u0bc1\u0b9f\u0ba9\u0bcd \u0b95\u0bc1\u0ba9\u0bcd\u0bb1\u0bc1 \u0b8f\u0bb1\u0bcd\u0baa\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0bae\u0bcd \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1\u0b95\u0bcd\u0b95\u0bcb\u0ba3\u0bae\u0bcd 45\u00b0 \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd \u0b95\u0bc1\u0ba9\u0bcd\u0bb1\u0bbf\u0ba9\u0bcd \u0b85\u0b9f\u0bbf \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0b89\u0b9a\u0bcd\u0b9a\u0bbf\u0baf\u0bc8 \u0b87\u0ba3\u0bc8\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bcd \u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\nim 4<br \/>\n\u0b89\u0b9a\u0bcd\u0b9a\u0bbf\u0b95\u0bcb\u0ba3\u0bae\u0bcd \u03b8 = 45\u00b0<br \/>\nm = tan 45\u00b0 = 1<br \/>\nm = 1<br \/>\n\u0b95\u0bc1\u0ba9\u0bcd\u0bb1\u0bbf\u0ba9\u0bcd \u0b85\u0b9f\u0bbf\u0baa\u0bcd\u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf (19,3)<br \/>\n\u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1,<br \/>\ny &#8211; y<sub>1<\/sub> = m (x &#8211; x<sub>1<\/sub>)<br \/>\ny &#8211; 3 = (1) (x &#8211; 19)<br \/>\nx &#8211; 19 &#8211; y + 3 = 0<br \/>\nx &#8211; y &#8211; 16 = 0<\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 7.<br \/>\n\u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b87\u0bb0\u0bc1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bcd \u0bb5\u0bb4\u0bbf\u0b9a\u0bcd\u0b9a\u0bc6\u0bb2\u0bcd\u0bb2\u0bc1\u0bae \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n(i) ( 2, \\(\\frac{2}{3}\\) ) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd ( \\(\\frac{-1}{2}\\), -2)<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u0b87\u0bb0\u0bc1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0b9f\u0bbf\u0bb5\u0bae\u0bcd \u21d2\\(\\frac{y-y_{1}}{y_{2}-y_{1}}=\\frac{x-x_{1}}{x_{2}-x_{1}}\\) \u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b87\u0bb0\u0bc1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bcd<br \/>\nim 5<br \/>\n-5(3y-2) = -2&#215;8 (x-2)<br \/>\n-15y+10 = -16(x-2)<br \/>\n-15y+10 = -16x+32<br \/>\n16x &#8211; 32 &#8211; 15y + 10 = 0<br \/>\n16x &#8211; 15y &#8211; 22 = 0<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1<br \/>\n16x &#8211; 15y &#8211; 22 = 0<\/p>\n<p>(ii) (2, 3) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd (-7,-1)<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1<br \/>\n(\u0b87\u0bb0\u0bc1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0b9f\u0bbf\u0bb5\u0bae\u0bcd)<br \/>\n\\(\\frac{y-3}{-1-3}=\\frac{x-2}{-7-2}\\)<br \/>\n\\(\\frac{y-3}{-4}=\\frac{x-2}{-9}\\)<br \/>\n-9 -9(y &#8211; 3) = -4(x &#8211; 2)<br \/>\n-9y + 27 = -4x + 8<br \/>\n4x &#8211; 8 &#8211; 9y + 27 = 0<br \/>\n4x &#8211; 9y + 19 = 0<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 4x-9y+19 = 0<\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 8.<br \/>\n\u0b92\u0bb0\u0bc1 \u0baa\u0bc2\u0ba9\u0bc8 xy \u0ba4\u0bb3\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd (-6,-4) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0baf\u0bbf\u0bb2\u0bcd \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. (5,11) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0baf\u0bbf\u0bb2\u0bcd \u0b92\u0bb0\u0bc1 \u0baa\u0bbe\u0bb2\u0bcd \u0baa\u0bc1\u0b9f\u0bcd\u0b9f\u0bbf \u0bb5\u0bc8\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f\u0bc1\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1 \u0baa\u0bc2\u0ba9\u0bc8 \u0bae\u0bbf\u0b95\u0b95\u0bcd \u0b95\u0bc1\u0bb1\u0bc1\u0b95\u0bbf\u0baf \u0ba4\u0bc2\u0bb0\u0bae\u0bcd \u0baa\u0baf\u0ba3\u0bbf\u0ba4\u0bcd\u0ba4\u0bc1\u0baa\u0bcd \u0baa\u0bbe\u0bb2\u0bcd \u0b85\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4 \u0bb5\u0bbf\u0bb0\u0bc1\u0bae\u0bcd\u0baa\u0bc1\u0b95\u0bbf\u0bb1\u0ba4\u0bc1 \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd, \u0baa\u0bbe\u0bb2\u0bc8\u0baa\u0bcd \u0baa\u0bb0\u0bc1\u0b95\u0bc1\u0bb5\u0ba4\u0bb1\u0bcd\u0b95\u0bc1\u0ba4\u0bcd \u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0baa\u0bbe\u0ba4\u0bc8\u0baf\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\nim 6<br \/>\n\u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b87\u0bb0\u0ba3\u0bcd\u0b9f\u0bc1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bc8<br \/>\nA(-6, -4), B(5, 11) \u0b8e\u0ba9\u0bcd\u0b95<br \/>\n\u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1<br \/>\n\\(\\frac{y+4}{11+4}=\\frac{x+6}{5+6}\\)<br \/>\n\\(\\frac{y+4}{15}=\\frac{x+6}{11}\\)<br \/>\n11(y + 4) = 15(x + 6)<br \/>\n11y + 44 = 15x + 90<br \/>\n15x + 90 &#8211; 11y + 44 = 0<br \/>\n15x &#8211; 11y + 46 = 0<br \/>\n\u0baa\u0bbe\u0ba4\u0bc8\u0baf\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 15x &#8211; 11y + 46 = 0<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-49701\" src=\"https:\/\/samacheerkalviguru.com\/wp-content\/uploads\/2021\/02\/Samacheer-Kalvi-Guru.png\" alt=\"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3\" width=\"194\" height=\"15\" \/><\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 9.<br \/>\nA(6,2) , B(-5,-1) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd C(1,9) \u0b90 \u0bae\u0bc1\u0ba9\u0bc8\u0b95\u0bb3\u0bbe\u0b95\u0b95\u0bcd \u0b95\u0bca\u0ba3\u0bcd\u0b9f AABC \u0baf\u0bbf\u0ba9\u0bcd \u0bae\u0bc1\u0ba9\u0bc8 A \u0baf\u0bbf\u0bb2\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1 \u0bb5\u0bb0\u0bc8\u0baf\u0baa\u0bcd\u0baa\u0b9f\u0bc1\u0bae\u0bcd \u0ba8\u0b9f\u0bc1\u0b95\u0bcb\u0b9f\u0bc1 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0b95\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\nim 7<br \/>\n\u0394ABC \u0bb2\u0bcd AD \u0b86\u0ba9\u0ba4\u0bc1<br \/>\n\u0ba8\u0b9f\u0bc1\u0b95\u0bcb\u0b9f\u0bc1 \u0b86\u0b95\u0bc1\u0bae\u0bcd. D \u0b86\u0ba9\u0ba4\u0bc1 BC\u0ba9\u0bcd \u0ba8\u0b9f\u0bc1\u0baa\u0bcd\u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd,<br \/>\nD = \\(\\left(\\frac{-5+1}{2}, \\frac{-1+9}{2}\\right)=\\left(\\frac{-4}{2}, \\frac{8}{2}\\right)\\) = (-2,4)<br \/>\n\u0ba8\u0b9f\u0bc1\u0b95\u0bcb\u0b9f\u0bc1 AD \u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 A(6,2), D (-2,4).<br \/>\n\\(\\frac{y-2}{4-2}=\\frac{x-6}{-2-6}\\)<br \/>\n\\(\\frac{y-2}{2}=\\frac{x-6}{-8}\\)<br \/>\n-8(y-2) = 2(x-6)<br \/>\n-8y+16 = 2x-12<br \/>\n2x &#8211; 12 + 8y &#8211; 16 = 0<br \/>\n2x+8y-28 = 0<br \/>\n\u00f7 by 2 x + 4y &#8211; 14 = 0<br \/>\n\u0ba8\u0b9f\u0bc1\u0b95\u0bcb\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 \u0394ABC is x + 4y &#8211; 14 = 0<br \/>\n\u0394ABC \u0bb2\u0bcd AE \u0b86\u0ba9\u0ba4\u0bc1 BC \u0b95\u0bcd\u0b95\u0bc1<br \/>\n\u0b9a\u0bc6\u0b99\u0bcd\u0b95\u0bc1\u0ba4\u0bcd\u0ba4\u0bbe\u0b95 \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1.<br \/>\nBC\u0ba9\u0bcd \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 B(-5, -1), C(1, 9)<br \/>\n\u21d2 \\(\\frac{9+1}{1+5}=\\frac{10}{6}=\\frac{5}{3}\\)<br \/>\nm<sub>1<\/sub> = \\(\\frac{5}{3}\\) \u0b87\u0b99\u0bcd\u0b95\u0bc7 BC \u22a5<sup>r<\/sup> AE, \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd<br \/>\nm<sub>1<\/sub> x m<sub>2<\/sub> = -1<br \/>\n\\(\\frac{5}{3}\\) x m<sub>2<\/sub> = -1<br \/>\nm<sub>2<\/sub> = \\(\\frac{-3}{5}\\)<\/p>\n<p>AE\u0ba9\u0bcd \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1, \\(\\frac{-3}{5}\\)<br \/>\n\u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf A(6, 2)<br \/>\ny &#8211; y<sub>1<\/sub> = m (x &#8211; x<sub>1<\/sub>)<br \/>\ny &#8211; 2 = = (3 &#8211; 6)<br \/>\n5(y &#8211; 2) = -3 (x &#8211; 6)<br \/>\n5y &#8211; 10 = -3x + 18<br \/>\n3x &#8211; 18 + 5y &#8211; 10 = 0<br \/>\n3x + 5y &#8211; 28 = 0<br \/>\n\u0b95\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 3x + 5y &#8211; 28 = 0<\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 10.<br \/>\n(-1,2) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0ba4\u0bc1\u0bae\u0bcd, \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 \\(\\frac{-5}{4}\\) \u0b89\u0b9f\u0bc8\u0baf\u0ba4\u0bc1\u0bae\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 m = \\(\\frac{-5}{4}\\), \u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf (-1, 2) \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 (\u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf &#8211; \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 \u0bb5\u0b9f\u0bbf\u0bb5\u0bae\u0bcd)<br \/>\ny &#8211; y<sub>1<\/sub> = m (x &#8211; x<sub>1<\/sub>)<br \/>\ny &#8211; 2 = \\(\\frac{-5}{4}\\)(x &#8211; 6)<br \/>\n-4(y &#8211; 2) = 5(x + 1)<br \/>\n-4y + 8 = 5x + 5<br \/>\n5x + 5 + 4y &#8211; 8 = 0<br \/>\n5x + 4y &#8211; 3 = 0<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1<br \/>\n5x + 4y &#8211; 3 = 0<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-49701\" src=\"https:\/\/samacheerkalviguru.com\/wp-content\/uploads\/2021\/02\/Samacheer-Kalvi-Guru.png\" alt=\"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3\" width=\"194\" height=\"15\" \/><\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 11.<br \/>\n\u0ba8\u0bc0\u0b99\u0bcd\u0b95\u0bb3\u0bcd \u0b92\u0bb0\u0bc1 \u0baa\u0bbe\u0b9f\u0bb2\u0bc8\u0baa\u0bcd \u0baa\u0ba4\u0bbf\u0bb5\u0bbf\u0bb1\u0b95\u0bcd\u0b95\u0bae\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0baf\u0bc1\u0bae\u0bcd \u0baa\u0bcb\u0ba4\u0bc1, x \u0bb5\u0bbf\u0ba9\u0bbe\u0b9f\u0bbf\u0b95\u0bb3\u0bc1\u0b95\u0bcd\u0b95\u0bc1\u0baa\u0bcd \u0baa\u0bbf\u0bb1\u0b95\u0bc1 \u0baa\u0ba4\u0bbf\u0bb5\u0bbf\u0bb1\u0b95\u0bcd\u0b95\u0bae\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0baf \u0bb5\u0bc7\u0ba3\u0bcd\u0b9f\u0bbf\u0baf \u0bae\u0bc0\u0ba4\u0bae\u0bc1\u0bb3\u0bcd\u0bb3 \u0baa\u0bbe\u0b9f\u0bb2\u0bbf\u0ba9\u0bcd \u0b9a\u0ba4\u0bb5\u0bc0\u0ba4\u0bae\u0bcd (\u0bae\u0bc6\u0b95\u0bbe \u0baa\u0bc8\u0b9f\u0bcd\u0b9f\u0bbf\u0bb2\u0bcd) y \u0b86\u0ba9\u0ba4\u0bc1 (\u0ba4\u0b9a\u0bae\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd) y = -0.1x +1 \u0b8e\u0ba9\u0bcd\u0bb1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0bae\u0bc2\u0bb2\u0bae\u0bcd \u0b95\u0bc1\u0bb1\u0bbf\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f\u0bbe\u0bb2\u0bcd,<br \/>\ni) \u0baa\u0bbe\u0b9f\u0bb2\u0bbf\u0ba9\u0bcd \u0bae\u0bca\u0ba4\u0bcd\u0ba4 MB \u0b85\u0bb3\u0bb5\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\nii) 75% \u0baa\u0bbe\u0b9f\u0bb2\u0bc8\u0baa\u0bcd \u0baa\u0ba4\u0bbf\u0bb5\u0bbf\u0bb1\u0b95\u0bcd\u0b95\u0bae\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0baf \u0b8e\u0bb5\u0bcd\u0bb5\u0bb3\u0bb5\u0bc1 \u0bb5\u0bbf\u0ba9\u0bbe\u0b9f\u0bbf\u0b95\u0bb3\u0bcd \u0b86\u0b95\u0bc1\u0bae\u0bcd?<br \/>\niii) \u0b8e\u0ba4\u0bcd\u0ba4\u0ba9\u0bc8 \u0bb5\u0bbf\u0ba9\u0bbe\u0b9f\u0bbf\u0b95\u0bb3\u0bcd \u0b95\u0bb4\u0bbf\u0ba4\u0bcd\u0ba4\u0bc1\u0baa\u0bcd \u0baa\u0bbe\u0b9f\u0bb2\u0bcd \u0bae\u0bc1\u0bb4\u0bc1\u0bae\u0bc8\u0baf\u0bbe\u0b95\u0baa\u0bcd \u0baa\u0ba4\u0bbf\u0bb5\u0bbf\u0bb1\u0b95\u0bcd\u0b95\u0bae\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0baf\u0baa\u0bcd\u0baa\u0b9f\u0bc1\u0bae\u0bcd ?<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\ni) \u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 y = -0.1x + 1<br \/>\n\u0baa\u0ba4\u0bbf\u0bb5\u0bbf\u0bb1\u0b95\u0bcd\u0b95 \u0ba8\u0bc7\u0bb0\u0bae\u0bcd \u0baa\u0bc2\u0b9c\u0bcd\u0b9c\u0bbf\u0baf\u0bae\u0bcd \u0b86\u0b95\u0bc1\u0bae\u0bcd.<br \/>\n(i.e) x = 0<br \/>\ny = 1<\/p>\n<p>ii) y = 75% = 0.75 \u0b90 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 (1) \u0bb2\u0bcd \u0baa\u0bbf\u0bb0\u0ba4\u0bbf\u0baf\u0bbf\u0b9f<br \/>\n0.75 = -0.1x + 1 0.1x<br \/>\n= 1 &#8211; 0.75<br \/>\nx = \\(\\frac{0.25}{0.1}\\) = 2.5<br \/>\nx = 2.5 \u0bb5\u0bbf\u0ba9\u0bbe\u0b9f\u0bbf<\/p>\n<p>iii) \u0b8e\u0ba4\u0bcd\u0ba4\u0ba9\u0bc8 \u0bb5\u0bbf\u0ba9\u0bbe\u0b9f\u0bbf\u0b95\u0bb3\u0bcd \u0b95\u0bb4\u0bbf\u0ba4\u0bcd\u0ba4\u0bc1\u0baa\u0bcd \u0baa\u0bbe\u0b9f\u0bb2\u0bcd \u0bae\u0bc1\u0bb4\u0bc1\u0bae\u0bc8\u0baf\u0bbe\u0b95\u0baa\u0bcd \u0baa\u0ba4\u0bbf\u0bb5\u0bbf\u0bb1\u0b95\u0bcd\u0b95\u0bae\u0bcd \u0b9a\u0bc6\u0baf\u0bcd\u0baf\u0baa\u0bcd\u0baa\u0b9f\u0bc1\u0bae\u0bcd?<br \/>\ny = 0 = 0.75 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 (1) \u0bb2\u0bcd \u0baa\u0bbf\u0bb0\u0ba4\u0bbf\u0baf\u0bbf\u0b9f<br \/>\n0 = -0.1x + 1<br \/>\n0.1x = 1<br \/>\nx = \\(\\frac{1}{0.1}\\)<br \/>\nx = 10 \u0bb5\u0bbf\u0ba9\u0bbe\u0b9f\u0bbf<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-49701\" src=\"https:\/\/samacheerkalviguru.com\/wp-content\/uploads\/2021\/02\/Samacheer-Kalvi-Guru.png\" alt=\"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3\" width=\"194\" height=\"15\" \/><\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 12.<br \/>\n\u0b95\u0bc0\u0bb4\u0bc7 \u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f\u0bc1\u0bb3\u0bcd\u0bb3 x, y \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0b95\u0bb3\u0bc8 \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1\u0b95\u0bb3\u0bc8 \u0b95\u0bbe\u0ba3\u0bcd\u0b95. (i) 4,-6 \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\nx-\u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 = a = 4<br \/>\ny- \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 = b = -6<br \/>\n\u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0bb3\u0bc8\u0b95\u0bcd \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd<br \/>\n\u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 = \\(\\frac{x}{a}+\\) = 1<br \/>\n\\(\\frac{x}{4}+\\frac{y}{-6}\\) = 1<br \/>\n\\(\\frac{x}{4}-\\frac{y}{6}\\) = 1<br \/>\n\\(\\frac{3 x-2 y}{12}\\) = 1<br \/>\n3x &#8211; 2y = 12<\/p>\n<p>(ii) &#8211; 5, \\(\\frac{3}{4}\\)<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\nx- \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 = a = -5<br \/>\ny- \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 = b = \\(\\frac{3}{4}\\)<br \/>\nim 8<br \/>\n-3x + 20y = 15<br \/>\nx by \u21d2 3x &#8211; 20y + 15 = 0<\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 13.<br \/>\n\u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0bb2\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1 \u0b86\u0baf \u0b85\u0b9a\u0bcd\u0b9a\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bae\u0bc7\u0bb2\u0bcd \u0b8f\u0bb1\u0bcd\u0baa\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0bae\u0bcd \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd \u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0b95\u0bb3\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n(i) 3x -2y -6 = 0<br \/>\n3x &#8211; 2y &#8211; 6 = 0<br \/>\nim 9<br \/>\n\u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0b95\u0bb3\u0bc8\u0b95\u0bcd \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 \u0b86\u0b95\u0bc1\u0bae\u0bcd.<br \/>\na = 2, b = -3<\/p>\n<p>(ii) 4x + 3y +12 = 0<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n4x + 3y + 12 = 0<br \/>\n4x + 3y = -12<br \/>\n\u00f7 by &#8211; 12<br \/>\n\\(\\frac{4 x}{-12}+\\frac{3 y}{-12}=\\frac{-12}{-12}\\)<br \/>\n\\(\\frac{x}{(-3)}+\\frac{y}{(-4)}\\) = 1<br \/>\n\u00f7 by &#8211; 12<br \/>\n\\(\\frac{4 x}{-12}+\\frac{3 y}{-12}=\\frac{-12}{-12}\\)<br \/>\n\\(\\frac{x}{(-3)}+\\frac{y}{(-4)}\\) = 1<br \/>\n\u0b87\u0b99\u0bcd\u0b95\u0bc7 a = -3, b= -4<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-49701\" src=\"https:\/\/samacheerkalviguru.com\/wp-content\/uploads\/2021\/02\/Samacheer-Kalvi-Guru.png\" alt=\"Samacheer Kalvi 10th Maths Guide Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3\" width=\"194\" height=\"15\" \/><\/p>\n<p>\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 14.<br \/>\n\u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95.<br \/>\n(i) (1-4) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf\u0b9a\u0bcd \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0ba4\u0bc1\u0bae\u0bcd, \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bb5\u0bbf\u0b95\u0bbf\u0ba4\u0bae\u0bcd 2:5<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1 \u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bb5\u0bbf\u0b95\u0bbf\u0ba4\u0bae\u0bcd a : b = 2 : 5<br \/>\nim 10<br \/>\n5x + 2y = 2b &#8212;&#8211;(1)<br \/>\n(1, -4) \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bc1 \u0b9a\u0bc6\u0bb2\u0bcd\u0b95\u0bbf\u0bb1\u0ba4\u0bc1.<br \/>\n5(1) + 2(-4) = 2b<br \/>\n5 &#8211; 8 = 2b<br \/>\n\\(\\frac{-3}{2}\\) = b<br \/>\nb = \\(\\frac{-3}{2}\\) \u0b90 (1) \u0bb2\u0bcd \u0baa\u0bbf\u0bb0\u0ba4\u0bbf\u0baf\u0bbf\u0b9f<br \/>\n5x + 2y = 2b<br \/>\n5x + 2y = 2\\(\\frac{-3}{2}\\)<br \/>\n5x + 2y + 3 = 0<br \/>\n5x + 2y + 3 = 0 \u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1<\/p>\n<p>(ii) (-8, 4) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf\u0b9a\u0bcd \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0ba4\u0bc1\u0bae\u0bcd, \u0b86\u0baf \u0b85\u0b9a\u0bcd\u0b9a\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0b95\u0bb3\u0bcd \u0b9a\u0bae\u0bae\u0bcd<br \/>\n\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 :<br \/>\n\u0b87\u0bb0\u0bc1 \u0bb5\u0bc6\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd \u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bc1\u0b95\u0bb3\u0bc1\u0bae\u0bcd \u0b9a\u0bae\u0bae\u0bcd a = b<br \/>\n\u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 (-8, 4)<br \/>\nim 11<br \/>\nx+y = a &#8212;&#8212;(1)<br \/>\n(-8, 4) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcb\u0b9f\u0bc1 \u0b9a\u0bc6\u0bb2\u0bcd\u0b95\u0bbf\u0bb1\u0ba4\u0bc1<br \/>\n-8 + 4 = a<br \/>\n-4 = a<br \/>\na = -4 \u0b90 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 (1) \u0bb2\u0bcd \u0baa\u0bbf\u0bb0\u0ba4\u0bbf\u0baf\u0bbf\u0b9f<br \/>\nx + y = a<br \/>\nx + y = -4<br \/>\nx + y + 4 = 0<br \/>\n\u0ba4\u0bc7\u0bb5\u0bc8\u0baf\u0bbe\u0ba9 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 x + y + 4 = 0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tamilnadu State Board New Syllabus\u00a0Samacheer Kalvi 10th Maths Guide Pdf Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3 Textbook Questions and Answers, Notes. TN Board 10th Maths Solutions Chapter 5 \u0b86\u0baf\u0ba4\u0bcd\u0ba4\u0bca\u0bb2\u0bc8 \u0bb5\u0b9f\u0bbf\u0bb5\u0bbf\u0baf\u0bb2\u0bcd Ex 5.3 \u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 1. (1,-5) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd (4,2) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0b95\u0bb3\u0bc8 \u0b87\u0ba3\u0bc8\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bcd \u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bc1\u0ba4\u0bcd\u0ba4\u0bc1\u0ba3\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba8\u0b9f\u0bc1\u0baa\u0bcd\u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf\u0baf\u0bbe\u0b95\u0b9a\u0bcd \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0ba4\u0bc1\u0bae\u0bcd, \u0b95\u0bc0\u0bb4\u0bcd\u0b95\u0bcd\u0b95\u0ba3\u0bcd\u0b9f\u0bb5\u0bb1\u0bcd\u0bb1\u0bbf\u0bb1\u0bcd\u0b95\u0bc1 \u0b87\u0ba3\u0bc8\u0baf\u0bbe\u0ba9\u0ba4\u0bc1\u0bae\u0bbe\u0ba9 \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bbe\u0ba3\u0bcd\u0b95. (i) X &#8211; \u0b85\u0b9a\u0bcd\u0b9a\u0bc1 (ii) Y &hellip;<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","footnotes":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/52495"}],"collection":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/comments?post=52495"}],"version-history":[{"count":0,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/52495\/revisions"}],"wp:attachment":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/media?parent=52495"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/categories?post=52495"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/tags?post=52495"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}