{"id":29749,"date":"2022-03-04T14:50:56","date_gmt":"2022-03-04T09:20:56","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=29749"},"modified":"2022-03-04T14:50:56","modified_gmt":"2022-03-04T09:20:56","slug":"ap-board-9th-class-maths-solutions-chapter-12-ex-12-4-in-telugu","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-9th-class-maths-solutions-chapter-12-ex-12-4-in-telugu\/","title":{"rendered":"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4"},"content":{"rendered":"<p>AP <a href=\"https:\/\/apboardsolutions.guru\/ap-board-9th-class-maths-solutions\/\">SCERT 9th Class Maths Textbook Solutions<\/a> Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 Textbook Exercise Questions and Answers.<\/p>\n<h2>AP State Syllabus 9th Class Maths Solutions 12th Lesson \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Exercise 12.4<\/h2>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1.<br \/>\n\u0c2a\u0c1f\u0c02\u0c32\u0c4b &#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{AOB}\\) = 100\u00b0 \u0c05\u0c2f\u0c3f\u0c28 \\(\\angle \\mathrm{ADB}\\) \u0c28\u0c3f \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29778\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-1.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 1\" width=\"159\" height=\"195\" \/><br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29779\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-2.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 2\" width=\"246\" height=\"176\" \/><br \/>\n\u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41 &#8216;O&#8217;<br \/>\n\\(\\angle \\mathrm{AOB}\\) = 100\u00b0<br \/>\n\u0c05\u0c26\u0c47 \u0c35\u0c3f\u0c27\u0c02\u0c17\u0c3e \\(\\angle \\mathrm{ACB}\\) = \\(\\frac {1}{2}\\) \\(\\angle \\mathrm{AOB}\\)<br \/>\n[\u2235 \u0c12\u0c15 \u0c1a\u0c3e\u0c2a\u0c2e\u0c41 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c35\u0c26\u0c4d\u0c26 \u0c1a\u0c47\u0c2f\u0c41 \u0c15\u0c4b\u0c23\u0c02, \u0c06 \u0c1a\u0c3e\u0c2a\u0c02 \u0c2e\u0c3f\u0c17\u0c3f\u0c32\u0c3f\u0c28 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02\u0c2a\u0c48 \u0c0f \u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41 \u0c35\u0c26\u0c4d\u0c26 \u0c0f\u0c30\u0c4d\u0c2a\u0c30\u0c1a\u0c41 \u0c15\u0c4b\u0c23\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c30\u0c46\u0c1f\u0c4d\u0c1f\u0c3f\u0c02\u0c2a\u0c41]<br \/>\n= \\(\\frac {1}{2}\\) \u00d7 100\u00b0 = 50\u00b0<br \/>\n\\(\\angle \\mathrm{ACB}\\) \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{ADB}\\) \u0c32\u0c41 \u0c38\u0c02\u0c2a\u0c42\u0c30\u0c15\u0c3e\u0c32\u0c41.<br \/>\n[\u2235 \u0c1a\u0c15\u0c4d\u0c30\u0c40\u0c2f \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02\u0c32\u0c4b\u0c28\u0c3f \u0c0e\u0c26\u0c41\u0c30\u0c46\u0c26\u0c41\u0c30\u0c41 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41]<br \/>\n\u2234 \\(\\angle \\mathrm{ADB}\\) = 180\u00b0 &#8211; 50\u00b0 = 130\u00b0<br \/>\n(\u0c32\u0c47\u0c15)<br \/>\n\u0c05\u0c27\u0c3f\u0c15 \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c1a\u0c3e\u0c2a\u0c2e\u0c41 \\(\\widehat{\\mathrm{ACB}}\\), D \u0c35\u0c26\u0c4d\u0c26 \u0c0f\u0c30\u0c4d\u0c2a\u0c30\u0c1a\u0c41 \u0c15\u0c4b\u0c23\u0c2e\u0c41 \\(\\angle \\mathrm{ADB}\\)<br \/>\n\u2234 \\(\\angle \\mathrm{ADB}\\) = \\(\\frac {1}{2}\\) \\(\\angle \\mathrm{AOB}\\) (\\(\\widehat{\\mathrm{ACB}}\\) \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c35\u0c26\u0c4d\u0c26 \u0c0f\u0c30\u0c4d\u0c2a\u0c30\u0c1a\u0c41 \u0c15\u0c4b\u0c23\u0c2e\u0c41 \\(\\angle \\mathrm{AOB}\\)<br \/>\n= \\(\\frac {1}{2}\\) [360\u00b0 &#8211; 100\u00b0] (\u0c2a\u0c1f\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f)<br \/>\n= \\(\\frac {1}{2}\\) \u00d7 260\u00b0 = 130\u00b0<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 2.<br \/>\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c02\u0c32\u0c4b \\(\\angle \\mathrm{BAD}\\) = 40\u00b0 \u0c05\u0c2f\u0c3f\u0c28 \\(\\angle \\mathrm{BCD}\\)\u0c28\u0c3f \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29780\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-3.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 3\" width=\"280\" height=\"161\" \/><br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n&#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41<br \/>\n\u2234 \u2206OAB \u0c32\u0c4b OA = OB (\u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c3e\u0c32\u0c41)<br \/>\n\u2234 \\(\\angle \\mathrm{OAB}\\) = \\(\\angle \\mathrm{OBA}\\) = 40\u00b0 (\u2235 \u0c38\u0c2e\u0c3e\u0c28 \u0c2d\u0c41\u0c1c\u0c3e\u0c32\u0c15\u0c41 \u0c0e\u0c26\u0c41\u0c1f\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41)<br \/>\n\\(\\angle \\mathrm{AOB}\\) = 180\u00b0 &#8211; (40\u00b0 + 40\u00b0) (\u2235 \u2206OAB \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c15\u0c4b\u0c23\u0c3e\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c02 \u0c27\u0c30\u0c4d\u0c2e\u0c2e\u0c41)<br \/>\n= 180\u00b0 &#8211; 80\u00b0 = 100\u00b0<br \/>\n\u0c15\u0c3e\u0c28\u0c3f \\(\\angle \\mathrm{AOB}\\) = \\(\\angle \\mathrm{COD}\\) = 100\u00b0<br \/>\n\u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{OCD}\\) = \\(\\angle \\mathrm{ODC}\\) = 40\u00b0 [OC = OD]<br \/>\n= 40\u00b0 \u2206OAB \u0c32\u0c4b \u0c32\u0c3e\u0c17\u0c3e<br \/>\n\u2234 \\(\\angle \\mathrm{BCD}\\) = 40\u00b0<br \/>\n(\u0c32\u0c47\u0c15)<br \/>\n\u2206OAB \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u2206OCD\u0c32\u0c32\u0c4b<br \/>\nOA = OD (\u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c3e\u0c32\u0c41)<br \/>\nOB = OC (\u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c3e\u0c32\u0c41)<br \/>\n\\(\\angle \\mathrm{AOB}\\) = \\(\\angle \\mathrm{COD}\\) (\u0c36\u0c40\u0c30\u0c4d\u0c37\u0c3e\u0c2d\u0c3f\u0c2e\u0c41\u0c16 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41)<br \/>\n\u2234 \u2206OAB \u2245 \u2206OCD<br \/>\n\u2234 \\(\\angle \\mathrm{BCD}\\) = \\(\\angle \\mathrm{OBA}\\) = 40\u00b0<br \/>\n[\u2235 OB = OA \u21d2 \\(\\angle \\mathrm{DAB}\\) = \\(\\angle \\mathrm{DBA}\\)]<\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 3.<br \/>\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c02\u0c32\u0c4b &#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{PQR}\\) = 120\u00b0 \u0c05\u0c2f\u0c3f\u0c28 \\(\\angle \\mathrm{PQR}\\) \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{PSR}\\) \u0c32\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29781\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-4.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 4\" width=\"163\" height=\"200\" \/><br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n&#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{PQR}\\) = 120\u00b0<br \/>\n\\(\\angle \\mathrm{PQR}\\) = \\(\\frac {1}{2}\\)\\(\\angle \\mathrm{POR}\\) [ [\u2235 \u0c12\u0c15 \u0c1a\u0c3e\u0c2a\u0c2e\u0c41 \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c35\u0c26\u0c4d\u0c26 \u0c1a\u0c47\u0c2f\u0c41 \u0c15\u0c4b\u0c23\u0c02, \u0c06 \u0c1a\u0c3e\u0c2a\u0c2e\u0c41 \u0c2e\u0c3f\u0c17\u0c3f\u0c32\u0c3f\u0c28 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02\u0c2a\u0c48 \u0c0f \u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41 \u0c35\u0c26\u0c4d\u0c26\u0c28\u0c48\u0c28\u0c3e \u0c0f\u0c30\u0c4d\u0c2a\u0c30\u0c1a\u0c41 \u0c15\u0c4b\u0c23\u0c02\u0c15\u0c41 \u0c30\u0c46\u0c1f\u0c4d\u0c1f\u0c3f\u0c02\u0c2a\u0c41]<br \/>\n\\(\\angle \\mathrm{PSR}\\) = \\(\\frac {1}{2}\\) [\\(\\widehat{\\mathrm{PQR}}\\) \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c35\u0c26\u0c4d\u0c26 \u0c0f\u0c30\u0c4d\u0c2a\u0c30\u0c1a \u0c15\u0c4b\u0c23\u0c2e\u0c41]<br \/>\n\u2234 \\(\\angle \\mathrm{PSR}\\) = \\(\\frac {1}{2}\\)[360\u00b0 &#8211; 120\u00b0] \u0c2a\u0c1f\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f<br \/>\n= \\(\\frac {1}{2}\\) \u00d7 240 = 120\u00b0<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 4.<br \/>\n\u0c12\u0c15 \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02 \u0c1a\u0c15\u0c4d\u0c30\u0c40\u0c2f\u0c2e\u0c48\u0c28, \u0c05\u0c26\u0c3f \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c05\u0c35\u0c41\u0c24\u0c41\u0c02\u0c26\u0c3f. \u0c38\u0c2e\u0c30\u0c4d\u0c25\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f.<br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29782\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-5.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 5\" width=\"311\" height=\"153\" srcset=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-5.png 311w, https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-5-300x148.png 300w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><br \/>\n\u2610ABCD \u0c12\u0c15 \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c2e\u0c41 \u0c05\u0c28\u0c41\u0c15\u0c4a\u0c28\u0c41\u0c2e\u0c41.<br \/>\nA, B, C \u0c2e\u0c30\u0c3f\u0c2f\u0c41 D\u0c32\u0c41 \u0c12\u0c15\u0c47 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02 \u0c2a\u0c48 \u0c17\u0c32 \u0c36\u0c40\u0c30\u0c4d\u0c37\u0c3e\u0c32\u0c41.<br \/>\n\u2234 \\(\\angle \\mathrm{A}+\\angle \\mathrm{C}\\) = 180\u00b0 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{B}+\\angle \\mathrm{D}\\) = 180\u00b0 [\u2235 \u0c1a\u0c15\u0c4d\u0c30\u0c40\u0c2f \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c2e\u0c41\u0c32\u0c4b \u0c0e\u0c26\u0c41\u0c1f\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41 \u0c38\u0c02\u0c2a\u0c42\u0c30\u0c15\u0c3e\u0c32\u0c41]<br \/>\n\u0c15\u0c3e\u0c28\u0c40 \\(\\angle \\mathrm{A}=\\angle \\mathrm{C}\\) \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{B}=\\angle \\mathrm{D}\\)<br \/>\n[\u2235 ||<sup>gm<\/sup> \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c0e\u0c26\u0c41\u0c1f\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41 \u0c38\u0c2e\u0c3e\u0c28\u0c02]<br \/>\n\u2234 \\(\\angle \\mathrm{A}=\\angle \\mathrm{C}=\\angle \\mathrm{B}=\\angle \\mathrm{D}\\) = \\(\\frac {180\u00b0}{2}\\) = 90\u00b0<br \/>\n\u2234 \u2610ABCD \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02 \u0c12\u0c15 \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c2e\u0c41.<\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 5.<br \/>\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c02\u0c32\u0c4b &#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 OM = 3 \u0c38\u0c46\u0c02.\u0c2e\u0c40. \u0c2e\u0c30\u0c3f\u0c2f\u0c41 AB = 8 \u0c38\u0c46\u0c02.\u0c2e\u0c40. \u0c05\u0c2f\u0c3f\u0c28 \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c25\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29783\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-6.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 6\" width=\"163\" height=\"173\" \/><br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29784\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-7.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 7\" width=\"175\" height=\"133\" \/><br \/>\n&#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41.<br \/>\nOM, AB \u0c28\u0c41 \u0c38\u0c2e\u0c26\u0c4d\u0c35\u0c3f\u0c16\u0c02\u0c21\u0c28 \u0c1a\u0c47\u0c2f\u0c41\u0c28\u0c41.<br \/>\n\u2234 AM = \\(\\frac{\\mathrm{AB}}{2}=\\frac{8}{2}\\) = 4 \u0c38\u0c46\u0c02.\u0c2e\u0c40.<br \/>\nOA<sup>2<\/sup> = OM<sup>2<\/sup> + AM<sup>2<\/sup><br \/>\n[\u2235 \u0c2a\u0c48\u0c25\u0c3e\u0c17\u0c30\u0c38\u0c4d \u0c38\u0c3f\u0c26\u0c4d\u0c27\u0c3e\u0c02\u0c24\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f]<br \/>\nOA = \\(\\sqrt{3^{2}+4^{2}}\\)<br \/>\n= \\(\\sqrt{9+16}=\\sqrt{25}\\) = 5 \u0c38\u0c46\u0c02.\u0c2e\u0c40.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 6.<br \/>\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c02\u0c32\u0c4b &#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 OM, ON\u0c32\u0c41 \u0c1c\u0c4d\u0c2f\u0c3e\u0c32\u0c41 PQ, RS\u0c32\u0c2a\u0c48 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f \u0c17\u0c40\u0c1a\u0c3f\u0c28 \u0c32\u0c02\u0c2c\u0c3e\u0c32\u0c41. OM = ON \u0c2e\u0c30\u0c3f\u0c2f\u0c41 PQ = 6 \u0c38\u0c46\u0c02.\u0c2e\u0c40. \u0c05\u0c2f\u0c3f\u0c28 RS\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29785\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-8.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 8\" width=\"173\" height=\"182\" \/><br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n&#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41.<br \/>\nOM = ON \u0c2e\u0c30\u0c3f\u0c2f\u0c41 OM \u22a5 PQ; ON \u22a5 RS<br \/>\n\u0c06 \u0c35\u0c3f\u0c27\u0c02\u0c17\u0c3e PQ \u0c2e\u0c30\u0c3f\u0c2f\u0c41 RS\u0c32\u0c41 \u0c38\u0c2e\u0c3e\u0c28\u0c2e\u0c41. [\u2235 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41 \u0c28\u0c41\u0c02\u0c21\u0c3f \u0c38\u0c2e\u0c3e\u0c28 \u0c26\u0c42\u0c30\u0c02\u0c32\u0c4b \u0c17\u0c32 \u0c1c\u0c4d\u0c2f\u0c3e\u0c32 \u0c2a\u0c4a\u0c21\u0c35\u0c41\u0c32\u0c41 \u0c38\u0c2e\u0c3e\u0c28\u0c2e\u0c41]<br \/>\n\u2234 RS = PQ = 6 \u0c38\u0c46\u0c02.\u0c2e\u0c40.<\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 7.<br \/>\nA \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 ABCD \u0c12\u0c15 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c2e\u0c41. BD = 4 \u0c38\u0c46\u0c02.\u0c2e\u0c40. \u0c05\u0c2f\u0c3f\u0c28 \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c02 \u0c0e\u0c02\u0c24 ?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29786\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-9.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 9\" width=\"156\" height=\"169\" \/><br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29787\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-10.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 10\" width=\"174\" height=\"176\" \/><br \/>\nA\u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 ABCD \u0c12\u0c15 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c2e\u0c41 \u0c05\u0c2f\u0c3f\u0c28 AC \u0c2e\u0c30\u0c3f\u0c2f\u0c41 BD \u0c32\u0c41 \u0c15\u0c30\u0c4d\u0c23\u0c3e\u0c32\u0c41.<br \/>\nAC = BD = 4 \u0c38\u0c46\u0c02.\u0c2e\u0c40.<br \/>\n\u0c15\u0c3e\u0c28\u0c40 AC \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c2e\u0c41<br \/>\n\u2234 \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c2e\u0c41 = 4 \u0c38\u0c46\u0c02.\u0c2e\u0c40.<\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 8.<br \/>\n\u0c0f\u0c26\u0c47\u0c28\u0c3f \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c02\u0c24\u0c4b \u0c12\u0c15 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c17\u0c40\u0c1a\u0c3f \u0c26\u0c3e\u0c28\u0c3f \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f \u0c38\u0c2e\u0c3e\u0c28 \u0c26\u0c42\u0c30\u0c02\u0c32\u0c4b \u0c09\u0c02\u0c21\u0c47\u0c1f\u0c4d\u0c32\u0c41 \u0c30\u0c46\u0c02\u0c21\u0c41 \u0c1c\u0c4d\u0c2f\u0c3e\u0c32\u0c28\u0c41 \u0c17\u0c40\u0c2f\u0c02\u0c21\u0c3f.<br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29788\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-11.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 11\" width=\"257\" height=\"132\" \/><br \/>\n\u0c28\u0c3f\u0c30\u0c4d\u0c2e\u0c3e\u0c23 \u0c38\u0c4b\u0c2a\u0c3e\u0c28\u0c3e\u0c32\u0c41 :<br \/>\n\u2192 P \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02\u0c17\u0c3e \u0c12\u0c15 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02\u0c28\u0c41 \u0c17\u0c40\u0c2f\u0c41\u0c2e\u0c41.<br \/>\n\u2192 \u0c0f\u0c35\u0c48\u0c28\u0c3e \u0c30\u0c46\u0c02\u0c21\u0c41 \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c3e\u0c32\u0c28\u0c41 \u0c17\u0c40\u0c2f\u0c41\u0c2e\u0c41.<br \/>\n\u2192 \u0c08 \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c3e\u0c32\u0c2a\u0c48 M \u0c2e\u0c30\u0c3f\u0c2f\u0c41 N \u0c05\u0c28\u0c41 \u0c30\u0c46\u0c02\u0c21\u0c41 &#8211; \u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41 \u0c17\u0c41\u0c30\u0c4d\u0c24\u0c3f\u0c02\u0c1a\u0c41\u0c2e\u0c41. \u0c05\u0c35\u0c3f PM = PN \u0c05\u0c17\u0c41\u0c28\u0c1f\u0c4d\u0c32\u0c41\u0c17\u0c3e \u0c17\u0c41\u0c30\u0c4d\u0c24\u0c3f\u0c02\u0c1a\u0c3e\u0c32\u0c3f.<br \/>\n\u2192 M \u0c2e\u0c30\u0c3f\u0c2f\u0c41 N\u0c32 \u0c17\u0c41\u0c02\u0c21\u0c3e \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c3e\u0c30\u0c4d\u0c27\u0c3e\u0c32\u0c28\u0c41 \u0c32\u0c02\u0c2c\u0c02\u0c17\u0c3e \u0c09\u0c02\u0c21\u0c41\u0c28\u0c1f\u0c4d\u0c32\u0c41 \u0c17\u0c40\u0c2f\u0c41\u0c2e\u0c41.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 9.<br \/>\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c02\u0c32\u0c4b &#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 AB, CD\u0c32\u0c41 \u0c38\u0c2e\u0c3e\u0c28 \u0c2a\u0c4a\u0c21\u0c35\u0c41\u0c32\u0c41 \u0c17\u0c32 \u0c1c\u0c4d\u0c2f\u0c3e\u0c32\u0c41 \\(\\angle \\mathbf{AOB}\\) = 70\u00b0 \u0c05\u0c2f\u0c3f\u0c28 \u2206OCD \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-29789\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-12.png\" alt=\"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 12\" width=\"178\" height=\"178\" srcset=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-12.png 178w, https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-Board-9th-Class-Maths-Solutions-Chapter-12-\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41-Ex-12.4-12-150x150.png 150w\" sizes=\"(max-width: 178px) 100vw, 178px\" \/><br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n&#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41<br \/>\nAB, CD\u0c32\u0c41 \u0c38\u0c2e\u0c3e\u0c28 \u0c1c\u0c4d\u0c2f\u0c3e\u0c32\u0c41<br \/>\n\u21d2 \u0c38\u0c2e\u0c3e\u0c28 \u0c1c\u0c4d\u0c2f\u0c3e\u0c32\u0c41 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c35\u0c26\u0c4d\u0c26 \u0c38\u0c2e\u0c3e\u0c28 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c28\u0c41 \u0c0f\u0c30\u0c4d\u0c2a\u0c30\u0c41\u0c38\u0c4d\u0c24\u0c3e\u0c2f\u0c3f.<br \/>\n\u2234 \\(\\angle \\mathrm{AOB}=\\angle \\mathrm{COD}\\) = 70\u00b0<br \/>\n\u2206OCD\u0c32\u0c4b \\(\\angle \\mathrm{OCD}=\\angle \\mathrm{ODC}\\) [\u2235 OC = OD; \u0c38\u0c2e\u0c3e\u0c28 \u0c2d\u0c41\u0c1c\u0c3e\u0c32\u0c15\u0c41 \u0c0e\u0c26\u0c41\u0c1f\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41]<br \/>\n\u2234 \\(\\angle \\mathrm{OCD}+\\angle \\mathrm{ODC}\\) + 70\u00b0 = 180\u00b0<br \/>\n\u21d2 \\(\\angle \\mathrm{OCD}+\\angle \\mathrm{ODC}\\) = 180\u00b0 &#8211; 70\u00b0 = 110\u00b0<br \/>\n\u2234 \\(\\angle \\mathrm{OCD}+\\angle \\mathrm{ODC}\\) = \\(\\frac {110\u00b0}{2}\\) = 55\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>AP SCERT 9th Class Maths Textbook Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.4 Textbook Exercise Questions and Answers. AP State Syllabus 9th Class Maths Solutions 12th Lesson \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Exercise 12.4 \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1. \u0c2a\u0c1f\u0c02\u0c32\u0c4b &#8216;O&#8217; \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 = 100\u00b0 \u0c05\u0c2f\u0c3f\u0c28 \u0c28\u0c3f \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f. \u0c38\u0c3e\u0c27\u0c28. \u0c35\u0c43\u0c24\u0c4d\u0c24 \u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c2e\u0c41 &#8216;O&#8217; = 100\u00b0 \u0c05\u0c26\u0c47 \u0c35\u0c3f\u0c27\u0c02\u0c17\u0c3e = [\u2235 \u0c12\u0c15 \u0c1a\u0c3e\u0c2a\u0c2e\u0c41 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c15\u0c47\u0c02\u0c26\u0c4d\u0c30\u0c02 \u0c35\u0c26\u0c4d\u0c26 \u0c1a\u0c47\u0c2f\u0c41 &hellip;<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/29749"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=29749"}],"version-history":[{"count":2,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/29749\/revisions"}],"predecessor-version":[{"id":29790,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/29749\/revisions\/29790"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=29749"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=29749"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=29749"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}