{"id":12554,"date":"2021-03-16T22:39:54","date_gmt":"2021-03-16T17:09:54","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=12554"},"modified":"2022-01-25T11:21:14","modified_gmt":"2022-01-25T05:51:14","slug":"03-03-01","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/03-03-01\/","title":{"rendered":"03.03.01 &#8211; \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba \u0dc4\u0dd0\u0db3\u0dd2\u0db1\u0dca\u0dc0\u0dd3\u0db8"},"content":{"rendered":"\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?id=1bUA1YT5FjabPpBDsJp59r-tUWkUskKoM&amp;export=download\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-vivid-red-color\"><strong>\u0dc3\u0d82\u0dba\u0dd4\u0d9a\u0dca\u0dad \u0d9c\u0dab\u0dd2\u0dad\u0dba I (\u0dc1\u0dd4\u0daf\u0dca\u0db0 \u0d9c\u0dab\u0dd2\u0dad\u0dba) \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dad\u0dca\u200d\u0dbb\u0dba\u0dda A \u0d9a\u0ddc\u0da7\u0dc3\u0dda (\u0d9a\u0dd9\u0da7\u0dd2 \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1) 09 \u0dc0\u0dd0\u0db1\u0dd2 \u0d9c\u0dd0\u0da7\u0dc5\u0dd4\u0dc0\u0dda \u0dc3\u0dc4 \u00a0B \u0d9a\u0ddc\u0da7\u0dc3\u0dda (\u0dbb\u0da0\u0db1\u0dcf \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1) 16 \u0dc0\u0dd0\u0db1\u0dd2 \u0d9c\u0dd0\u0da7\u0dc5\u0dd4\u0dc0\u0dda \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc0\u0db1\u0dca\u0db1\u0dda \u0db8\u0dd9\u0db8 \u0db4\u0dcf\u0da9\u0db8\u0dda \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad \u0dc0\u0dda.<\/strong><\/span><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba \u0dc4\u0dd0\u0db3\u0dd2\u0db1\u0dca\u0dc0\u0dd3\u0db8 <\/strong><\/h3>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0d85\u0da0\u0dbd \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dca \u0dc0\u0da7\u0dcf \u0db1\u0dd2\u0dba\u0dad \u0daf\u0dd4\u0dbb\u0d9a\u0dd2\u0db1\u0dca \u0da0\u0dbd\u0db1\u0dba \u0dc0\u0db1 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a \u0db4\u0dae\u0dba \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0d9a\u0dd2.<\/li>\r\n<li>\u0db8\u0dd9\u0db8 \u0d85\u0da0\u0dbd \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba \u0dbd\u0dd9\u0dc3\u0daf \u0db1\u0dd2\u0dba\u0dad \u0daf\u0dd4\u0dbb \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0d85\u0dbb\u0dba \u0dbd\u0dd9\u0dc3\u0daf \u0dc4\u0daf\u0dd4\u0db1\u0dca\u0dc0\u0dba\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"204\" height=\"207\" class=\"wp-image-16130\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c1.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c1.png 204w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c1-150x152.png 150w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>C \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba\u0dba\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>r \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0d85\u0dbb\u0dba \u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"207\" class=\"wp-image-16189\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c2.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c2.png 250w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c2-150x124.png 150w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"226\" class=\"wp-image-16190\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c3.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c3.png 250w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c3-150x136.png 150w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0da7 \u0d85\u0db3\u0dd2\u0db1 \u0dbd\u0daf \u0d95\u0db1\u0dd1\u0db8 \u0d85\u0db7\u0dd2\u0dbd\u0db8\u0dca\u0db6\u0dba\u0d9a\u0dca\u00a0 \u0d91\u0dc4\u0dd2 \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba \u0dc4\u0dbb\u0dc4\u0dcf \u0d9c\u0db8\u0db1\u0dca \u0d9a\u0dbb\u0dba\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16191\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c4.png\" alt=\"\" width=\"334\" height=\"264\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c4.png 804w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c4-300x237.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c4-768x608.png 768w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c4-150x119.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c4-696x551.png 696w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c4-531x420.png 531w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16192\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c5.png\" alt=\"\" width=\"305\" height=\"256\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c5.png 316w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c5-300x253.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c5-150x126.png 150w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"241\" class=\"wp-image-16193\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c6.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c6.png 260w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c6-150x139.png 150w\" sizes=\"(max-width: 260px) 100vw, 260px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"317\" height=\"319\" class=\"wp-image-16195\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c7-1.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c7-1.png 317w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c7-1-298x300.png 298w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c7-1-150x151.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c7-1-300x302.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0dc0\u0dd8\u0dad\u0dca\u0dad \u0daf\u0dd9\u0d9a\u0d9a\u0dca \u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1 \u0dc0\u0dd3\u0db8<\/strong><\/h3>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0db6\u0dcf\u0dc4\u0dd2\u0dbb \u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1\u0dba<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16198\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c8-1.png\" alt=\"\" width=\"279\" height=\"217\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c8-1.png 266w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c8-1-150x117.png 150w\" sizes=\"(max-width: 279px) 100vw, 279px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0d85\u0db7\u0dca\u200d\u0dba\u0db1\u0dca\u0dad\u0dbb \u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1\u0dba\u00a0<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16199\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c9.png\" alt=\"\" width=\"239\" height=\"243\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c9.png 213w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c9-150x154.png 150w\" sizes=\"(max-width: 239px) 100vw, 239px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}O_1O_2=r_1+r_2\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;O_1O_2=\\left|r_1+r_2\\right|\\\\\\text{\u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1\u00a0\u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u00a0\u0db8\u0d9c\u0dd2\u0db1\u0dca\u00a0}O_1O_2\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\text{\u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1\u00a0\u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u00a0\u0db8\u0d9c\u0dd2\u0db1\u0dca\u00a0}O_1O_2\\\\r_1:r_2\\;\\text{\u0d85\u0db1\u0dd4\u0db4\u0dcf\u0dad\u0dba\u0da7\u00a0\u0d85\u0db7\u0dca\u200d\u0dba\u0db1\u0dca\u0dad\u0dbb\u0dc0\u00a0\u0db6\u0dd9\u0daf\u0dba\u0dd2.}\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;r_1:r_2\\;\\text{\u0d85\u0db1\u0dd4\u0db4\u0dcf\u0dad\u0dba\u0da7\u00a0\u0db6\u0dcf\u0dc4\u0dd2\u0dbb\u0dc0\u00a0\u0db6\u0dd9\u0daf\u0dba\u0dd2.}\\end{array}<\/span>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0db8\u0dd6\u0dbd \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba \u0dc4\u0dcf \u0d85\u0dbb\u0dba r \u0dc0\u0db1 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0d9a \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dbd\u0db6\u0dcf\u0d9c\u0dd0\u0db1\u0dd3\u0db8.<\/strong><\/h3>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16201\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c10-1.png\" alt=\"\" width=\"344\" height=\"310\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c10-1.png 402w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c10-1-300x270.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c10-1-400x362.png 400w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c10-1-150x135.png 150w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p>\u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba \u0db8\u0dad \u0dc0\u0dd2\u0da0\u0dbd\u0dca\u200d\u0dba \u00a0 P\u2261 ( x\u0305 , y\u0305\u00a0 )\u00a0 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc3\u0dbd\u0d9a\u0db8\u0dd4.<\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}OP&amp;=&amp;r\\\\\\left(OP\\right)^2&amp;=&amp;r^2\\\\(\\overline x\u20130)^2+(\\overline y-0)^2&amp;=&amp;r^2\\\\\\;\\left(\\overline x\\right)^2+\\left(\\overline y\\right)^2&amp;=&amp;r^2\\end{array}<\/span>\r\n\r\n\r\n\r\n<p>\u0db8\u0dd9\u0dba \u0dc0\u0dd2\u0da0\u0dbd\u0dca\u200d\u0dba \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0dbd\u0dd2\u0dc0\u0dd3\u0db8\u0dd9\u0db1\u0dca \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dbd\u0dd0\u0db6\u0dda.<\/p>\r\n\r\n\r\n\r\n<p>\u2234 \u0db8\u0dd6\u0dbd \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba \u0dc0\u0dd6 \u0d85\u0dbb\u0dba r \u0dc0\u0dd6 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba,<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><strong>x<sup>2<\/sup>\u00a0 +\u00a0 y<sup>2<\/sup>\u00a0 =\u00a0 r<sup>2\u00a0<\/sup><\/strong><sup>\u00a0\u00a0\u00a0\u00a0\u00a0<\/sup><\/p>\r\n\r\n\r\n\r\n<h3 class=\"has-text-align-left wp-block-heading\">\u00a0\u00a0\u00a0\u00a0\u00a0<strong>\u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba ( a , b ) \u0dc0\u0dd6 \u0dc4\u0dcf \u0d85\u0dbb\u0dba r \u0dc0\u0db1 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0d9a \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dbd\u0db6\u0dcf\u0d9c\u0dd0\u0db1\u0dd3\u0db8.<\/strong><\/h3>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16203\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c11-1.png\" alt=\"\" width=\"309\" height=\"286\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c11-1.png 332w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c11-1-300x278.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/c11-1-150x139.png 150w\" sizes=\"(max-width: 309px) 100vw, 309px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p>\u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba \u0db8\u0dad \u0dc0\u0dd2\u0da0\u0dbd\u0dca\u200d\u0dba \u00a0 P\u2261 ( x\u0305 , y\u0305\u00a0 )\u00a0 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc3\u0dbd\u0d9a\u0db8\u0dd4.<\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}CP&amp;=&amp;r\\\\\\left(CP\\right)^2&amp;=&amp;r^2\\\\(\\overline x\u2013a)^2+(\\overline y-b)^2&amp;=&amp;r^2\\end{array}<\/span>\r\n\r\n\r\n\r\n<p>\u0db8\u0dd9\u0dba \u0dc0\u0dd2\u0da0\u0dbd\u0dca\u200d\u0dba \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0dbd\u0dd2\u0dc0\u0dd3\u0db8\u0dd9\u0db1\u0dca \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dbd\u0dd0\u0db6\u0dda.<\/p>\r\n\r\n\r\n\r\n<p>\u2234\u00a0 \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba (a , b )\u00a0 \u0daf, \u0d85\u0dbb\u0dba r \u0daf, \u0dc0\u0dd6 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba,<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><strong>( x &#8211;\u00a0 a )<sup>2\u00a0 <\/sup>+\u00a0 ( y\u00a0 &#8211;\u00a0 b)<sup>2<\/sup>\u00a0 =\u00a0 r<sup>2<\/sup><\/strong><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0d9a \u0dc3\u0dcf\u0db0\u0dcf\u0dbb\u0dab \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>\u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba ( -g , -f ) \u0daf, \u0d85\u0dbb\u0dba r \u0daf \u0dc0\u0db1 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba,<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">\u00a0 \u00a0 { x \u2013 (-g) }<sup>2\u00a0 <\/sup>+\u00a0 { y\u00a0 &#8211; (-f) }<sup>2<\/sup> \u00a0 =\u00a0 \u00a0 r<sup>2<\/sup> \u00a0 \u00a0 \u0dc0\u0dda.\u00a0 ;\u00a0 \u00a0 \u00a0 \u00a0 \u22c6 \u00a0 \u00a0 \u0db1\u0dca\u00a0<\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}(x+g)^2+(y+f)^2&amp;=&amp;r^2\\\\x^2+2gx+g^2+y^2+2fy+f^2&amp;=&amp;r^2\\\\x^2+y^2+2gx+2fy+g^2+f^2-r^2&amp;=&amp;0\\\\x^2+y^2+2gx+2fy+c&amp;=&amp;0\\;;\\;\\;c=g^2+f^2-r^2\\end{array}<\/span>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">\u0db8\u0dd9\u0dba \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0d9a \u0dc3\u0dcf\u0db0\u0dcf\u0dbb\u0dab \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dc0\u0dda.<\/p>\r\n\r\n\r\n\r\n<h4 class=\"wp-block-heading\"><strong><span class=\"has-inline-color\" style=\"color: #304170\">\u0dc3\u0dcf\u0db0\u0dcf\u0dbb\u0dab \u0dc0\u0dd8\u0dad\u0dca\u0dad \u0dc3\u0db8\u0dd2\u0d9a\u0dbb\u0dab\u0dba\u0dda \u0db4\u0dc0\u0dad\u0dd2\u0db1 \u0dbd\u0d9a\u0dca\u0dc2\u0dab\u00a0<\/span><\/strong><\/h4>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0d91\u0dc4\u0dd2\u00a0 x<sup>2<\/sup> \u0dc4\u0dcf y<sup>2<\/sup> \u0db4\u0daf \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc0\u0db1 \u0d85\u0dad\u0dbb \u0d92\u0dc0\u0dcf\u0dba\u0dda \u0dc3\u0d82\u0d9c\u0dd4\u0dab\u0d9a \u0dc3\u0db8\u0dcf\u0db1 \u0dc0\u0dda. \u0dad\u0dc0\u0daf, \u0d91\u0dc4\u0dd2 xy \u0d9c\u0dd4\u0dab\u0dd2\u0dad \u0db4\u0daf \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0db1\u0ddc\u0dc0\u0dda.<\/li>\r\n<li>\u00a0x<sup>2<\/sup> \u0dc4\u0dcf y<sup>2<\/sup> \u0db4\u0daf \u0dc0\u0dbd \u0dc3\u0d82\u0d9c\u0dd4\u0dab\u0d9a 1 \u0dc0\u0db1 \u0dc0\u0dd2\u0da7 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba\u0dda \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a <span class=\"wp-katex-eq\" data-display=\"false\">\\left(-\\frac{x\\;\\text{\u0dc4\u0dd2\u00a0\u0dc3\u0d82\u0d9c\u0dd4\u0dab\u0d9a\u0dba}}2,-\\frac{y\\;\\text{\u0dc4\u0dd2\u00a0\u0dc3\u0d82\u0d9c\u0dd4\u0dab\u0d9a\u0dba}}2\\right)<\/span> \u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>c =\u00a0 g<sup>2<\/sup> + f<sup>2<\/sup> \u2013 r<sup>2<\/sup><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u27f9 r<sup>2<\/sup> = g<sup>2<\/sup> + f<sup>2<\/sup> \u2013 c<\/p>\r\n\r\n\r\n\r\n<p>\u27f9 r = <span class=\"wp-katex-eq\" data-display=\"false\">\\sqrt{g^2+f^2-c}<\/span><\/p>\r\n\r\n\r\n\r\n<p>g<sup>2<\/sup> + f<sup>2<\/sup> \u2013 c \u00a0 \u2265\u00a0 0 \u0db1\u0db8\u0dca \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba \u0db4\u0dc0\u0dad\u0dd2\u0dba\u0dd2<strong>.<\/strong><\/p>\r\n\r\n\r\n\r\n<p>g<sup>2<\/sup> + f<sup>2<\/sup> \u2013 c \u00a0 &lt;\u00a0 0 \u0db1\u0db8\u0dca \u0dbd\u0dd0\u0db6\u0dd9\u0db1 \u0dc0\u0dd8\u0dad\u0dca\u0dad \u0d85\u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc0\u0dda<strong>.<\/strong><\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf ;\u00a0 5x<sup>2<\/sup> +5y<sup>2<\/sup> \u2013 32x \u2013 24y + 75 = 0\u00a0 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba\u0dda \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u0dc4\u0dcf \u0d91\u0dc4\u0dd2 \u0d85\u0dbb\u0dba \u0dbd\u0dd2\u0dba\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>5x<sup>2<\/sup> +5y<sup>2<\/sup> \u2013 32x \u2013 24y + 75 = 0<\/p>\r\n\r\n\r\n\r\n<p>\u27f9 \u00a0 \u00a0 x<sup>2<\/sup> + y<sup>2<\/sup> -x \u2013y + 15\u00a0 = 0<\/p>\r\n\r\n\r\n\r\n<p>\u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba\u0dda \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u00a0 , \u00a0 (\u00a0 <sup>16<\/sup>\u2215<sub>5<\/sub> , <sup>12<\/sup>\u2215<sub>5<\/sub> )<\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\text{\u0d85\u0dbb\u0dba}&amp;=&amp;\\sqrt{\\left(-\\frac{16}5\\right)^2\\;+\\;\\left(-\\frac{12}5\\right)^2\\;-\\;15}\\\\&amp;=&amp;1\\end{array}<\/span>\r\n\r\n\r\n\r\n<p>.<\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?id=1bUA1YT5FjabPpBDsJp59r-tUWkUskKoM&amp;export=download\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n<div>\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n<\/div>\r\n<div class=\"wp-block-buttons is-content-justification-center\">\r\n<div>\r\n<div class=\"wp-block-buttons is-content-justification-center\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/drive\/folders\/18ifnNmFePB0FeR1RsQ8zWnoJq-Bu-uaU?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">\u0dad\u0dc0\u0dad\u0dca \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u0d85\u0da0\u0dbd \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0da7 \u0db1\u0dd2\u0dba\u0dad \u0daf\u0dd4\u0dbb\u0d9a\u0dd2\u0db1\u0dca \u0da0\u0dbd\u0db1\u0dba \u0dc0\u0db1 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a \u0db4\u0dae\u0dba\u0d9a\u0dca \u0dbd\u0dd9\u0dc3 \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba \u0d85\u0dbb\u0dca\u0dae \u0daf\u0d9a\u0dca\u0dc0\u0dba\u0dd2.<\/p>\n","protected":false},"author":76,"featured_media":16874,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3666,3634,42,3630,3629],"tags":[4144,4453,4454],"class_list":{"0":"post-12554","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-03-03-circle","8":"category-03-coordinate-geometry","9":"category-advanced-level-science","10":"category-pure-mathematics","11":"category-combined-mathematics","12":"tag-circle","13":"tag-wruththaya","14":"tag-4454"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12554"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/users\/76"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=12554"}],"version-history":[{"count":23,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12554\/revisions"}],"predecessor-version":[{"id":35340,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12554\/revisions\/35340"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media\/16874"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media?parent=12554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=12554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=12554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}