{"id":12827,"date":"2021-04-02T19:12:59","date_gmt":"2021-04-02T13:42:59","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=12827"},"modified":"2021-10-14T00:42:16","modified_gmt":"2021-10-13T19:12:16","slug":"03-02-06","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/combined-mathematics\/03-02-06\/","title":{"rendered":"03.02.06  &#8211; \u0daf\u0dd9\u0db1 \u0dbd\u0daf \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dca \u0dc4\u0dbb\u0dc4\u0dcf \u0dc3\u0dbb\u0dbd \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0d9a\u0da7 \u0dbd\u0db8\u0dca\u0db7\u0d9a\u0dc0 \u0d85\u0db3\u0dd2\u0db1 \u0dbd\u0daf \u0dc3\u0dbb\u0dbd \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0d9a\u0dca \u0db8\u0dad \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0dbd\u0db6\u0dcf \u0d9c\u0dd0\u0db1\u0dd3\u0db8."},"content":{"rendered":"\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link\" href=\"https:\/\/drive.google.com\/uc?id=1V7RWunm1xD6vLeD8lCn1S2Xo2hhlaiEz&amp;export=download\" style=\"border-radius:15px\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\"><li><span class=\"has-inline-color has-black-color\">A \u2261 (\u03b1 ,\u03b2 ) \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc4\u0dbb\u0dc4\u0dcf <span class=\"wp-katex-eq\" data-display=\"false\">l\\equiv\\;ax+by+c=0\\;<\/span>\u0dc3\u0dbb\u0dbd \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0da7 \u0d85\u0db3\u0dd2\u0db1 \u0dbd\u0daf \u0dbd\u0db8\u0dca\u0db7\u0d9a\u0dba \u0db8\u0dad \u0d95\u0db1\u0dd1\u0db8 P(x<sub>0<\/sub>,y<sub>0<\/sub>) \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dca \u0dc3\u0dbd\u0d9a\u0db8\u0dd4<\/span>.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"334\" height=\"209\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-26.png\" alt=\"\" class=\"wp-image-13169\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-26.png 334w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-26-300x188.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-26-150x94.png 150w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}(l=0\\;\\text{\u0dc3\u0dbb\u0dbd\u00a0\u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0dda\u00a0\u0d85\u0db1\u0dd4\u0d9a\u0dca\u200d\u0dbb\u0db8\u0dab\u0dba})\\times(AP\\text{\u00a0\u0dc3\u0dbb\u0dbd\u00a0\u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0dda\u00a0\u0d85\u0db1\u0dd4\u0d9a\u0dca\u200d\u0dbb\u0db8\u0dab\u0dba)}=-\\text{1}\\end{array}<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\left(\\frac{-b}a\\right)\\left(\\frac{y_0-\\beta}{x_0-\\alpha}\\right)=-1<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\left(\\frac{y_0-\\beta}b\\right)=\\left(\\frac{x_0-\\alpha}a\\right)=t\\text{\u0dba\u0dd0\u0dba\u0dd2\u0d9c\u0db1\u0dd2\u0db8\u0dd4..(\u0db8\u0dd9\u0dc4\u0dd2\\;t\\;\u0dc0\u0dd2\u0da0\u0dbd\u0dca\u200d\u0dba\u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0dba\u0d9a\u0dd2)}<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\left(\\frac{x_0-\\alpha}a\\right)=t\\Longrightarrow x_0=\\alpha+at<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\left(\\frac{y_0-\\beta}b\\right)=t\\Longrightarrow y_0=\\beta+bt<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\therefore\\;\\;P\\equiv(\\alpha+at,\\beta+bt)<\/span><\/p>\n\n\n\n<p><span class=\"has-inline-color has-black-color\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\therefore\\;A\\equiv(\\alpha,\\beta)\\end{array}\u00a0<\/span>&nbsp;&nbsp;\u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba \u0dc4\u0dbb\u0dc4\u0dcf <span class=\"wp-katex-eq\" data-display=\"false\">l\\equiv\\;ax+by+c=0\\;<\/span>&nbsp;&nbsp;\u0dc3\u0dbb\u0dbd \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0da7 \u0dbd\u0db8\u0dca\u0db7\u0d9a\u0dc0 \u0d85\u0db3\u0dd2\u0db1 \u0dbd\u0daf \u0dc3\u0dbb\u0dbd \u0dbb\u0dda\u0d9b\u0dcf\u0dc0 \u0db8\u0dad \u0d95\u0db1\u0dd1\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a <span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}(\\alpha+at,\\beta+bt)\\;\\;\\end{array}<\/span>&nbsp; \u0dbd\u0dd9\u0dc3 \u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0d9a\u0dc0 \u0dbd\u0dd2\u0dc0\u0dd2\u0dba \u0dc4\u0dd0\u0d9a.<\/span><\/p>\n\n\n\n<p>\u0d8b\u0daf\u0dcf: <span class=\"wp-katex-eq\" data-display=\"false\">P\\;\\equiv\\;(5,0)\\;<\/span>&nbsp;\u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0dda \u0dc3\u0dd2\u0da7<span class=\"wp-katex-eq\" data-display=\"false\">\\;A\\equiv\\;(4,3)\\;,B\\equiv(-4,3)\\;<\/span>&nbsp;\u0dc4\u0dcf<span class=\"wp-katex-eq\" data-display=\"false\">C\\equiv(0,-5)\\;<\/span>&nbsp;\u0dc1\u0dd3\u0dbb\u0dca\u0dc2 \u0dc0\u0dc1\u0dba\u0dd9\u0db1\u0dca &nbsp;\u0d87\u0dad\u0dd2 \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda \u0db4\u0dcf\u0daf\u0dc0\u0dbd\u0da7&nbsp;&nbsp; \u0d85\u0db3\u0dd2\u0db1 \u0dbd\u0daf \u0dbd\u0db8\u0dca\u0db7 \u0dbb\u0dda\u0d9b\u0dcf \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda \u0db4\u0dcf\u0daf \u0dc4\u0db8\u0dd4\u0dc0\u0db1 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba \u0dc0\u0dbd \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1. \u0d91\u0db8 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba \u0d92\u0d9a \u0dbb\u0dda\u0d9b\u0dd3\u0dba \u0db6\u0dc0\u0daf \u0d94\u0db4\u0dca\u0db4\u0dd4 \u0d9a\u0dbb\u0db1\u0dca\u0db1.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"336\" height=\"369\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-27.png\" alt=\"\" class=\"wp-image-13174\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-27.png 336w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-27-273x300.png 273w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-27-150x165.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/04\/image-27-300x329.png 300w\" sizes=\"(max-width: 336px) 100vw, 336px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">AB\\;\\text{\u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba},\\;\\;y=3\\;\\text{\u0dc0\u0dda}.<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">AC\\text{\u00a0\u0d85\u0db1\u0dd4\u0d9a\u0dca\u200d\u0dbb\u0db8\u0dab\u0dba}=\\frac{(3-(-5)}{(4-0)}=\\frac84=\\;2<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\therefore\\;AC\\;\\text{\u00a0\u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba},\\;\\;\\;<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\left(y\\;\u2013\\;3\\right)=2(x-4)<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\left(2x\u2013y\u20135\\right)=\\;0<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">BC\\;\\text{\u0d85\u0db1\u0dd4\u0d9a\u0dca\u200d\u0dbb\u0db8\u0dab\u0dba}=\\frac{(3-(-5))}{(-4-0)}=\\left(\\frac8{-4}\\right)=-2<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\therefore BC\\;\\;\\text{\u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba},\\;<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">{y-(-5)}=-2(x-0)<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">2x+y+5=0<\/span><\/p>\n\n\n\n<p>P \u0dc3\u0dd2\u0da7 AB \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0da7 \u0d87\u0db3\u0dd2 \u0dbd\u0db8\u0dca\u0db7\u0d9a\u0dba\u0dda \u0d85\u0da9\u0dd2\u0dba Q \u0daf, P \u0dc3\u0dd2\u0da7 AC \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0da7 \u0d87\u0db3\u0dd2 \u0dbd\u0db8\u0dca\u0db7\u0d9a\u0dba\u0dda \u0d85\u0da9\u0dd2\u0dba R \u0daf, P \u0dc3\u0dd2\u0da7 BC \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0da7 \u0d87\u0db3\u0dd2 \u0dbd\u0db8\u0dca\u0db7\u0d9a\u0dba\u0dda \u0d85\u0da9\u0dd2\u0dba T \u0daf \u0dba\u0dd0\u0dba\u0dd2 \u0d9c\u0db1\u0dd2\u0db8\u0dd4.<\/p>\n\n\n\n<p class=\"has-text-align-center\">&nbsp; &nbsp;<span class=\"wp-katex-eq\" data-display=\"false\">\\;Q\\equiv(5+0\\;,0+t)\\;\\;\\text{\u0dba\u0dd0\u0dba\u0dd2\u00a0\u0d9c\u0db1\u0dd2\u0db8\u0dd4}.\\;;\\;\\;\\;t\\text{\u00a0\u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0dba\u0d9a\u0dd2}.<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">Q\u2261(5,t)<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">Q \u0dc4\u0dd2 \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u0db8\u0d9c\u0dd2\u0db1\u0dca y=3&nbsp; \u0dad\u0dd8\u0db4\u0dca\u0dad \u0dc0\u0dda.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\therefore\\;t=3\\;\\;\\;\\;\\Longrightarrow\\;\\;Q\\equiv(5,3)<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">R=(5+2k,0-k)\\;;\\;\\text{\u0dba\u0dd0\u0dba\u0dd2\u00a0\u0d9c\u0db1\u0dd2\u0db8\u0dd4};\\;\\;k\\;\\;\\text{\u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0dba\u0d9a\u0dd2}.<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">R \u0dc4\u0dd2 \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u0db8\u0d9c\u0dd2\u0db1\u0dca AC \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dad\u0dd8\u0db4\u0dca\u0dad \u0dc0\u0dda<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">2(5+2k)-(-k)-5=0\\;\\;\\;\\;\\Longrightarrow\\;\\;\\;k=-1<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">&nbsp;<span class=\"wp-katex-eq\" data-display=\"false\">\\Longrightarrow R\\equiv(3\\;,1\\;)<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">&nbsp;<span class=\"wp-katex-eq\" data-display=\"false\">T\\equiv(5+2h,0+h)\\;\\;<\/span>\u0dba\u0dd0\u0dba\u0dd2 \u0d9c\u0db1\u0dd2\u0db8\u0dd4. ; h \u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0dba\u0d9a\u0dd2<\/p>\n\n\n\n<p class=\"has-text-align-center\">T \u0dc4\u0dd2 \u0d9b\u0dab\u0dca\u0da9\u0dcf\u0d82\u0d9a \u0db8\u0d9c\u0dd2\u0db1\u0dca BC \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dad\u0dd8\u0db4\u0dca\u0dad \u0dc0\u0dda.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">2(5+2h)+h+5=0\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\Longrightarrow\\;\\;\\;h\\;=\\;-3<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\Longrightarrow T\\equiv(-1,-3)<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">QR\\;\\text{\u0d85\u0db1\u0dd4\u0d9a\u0dca\u200d\u0dbb\u0db8\u0dab\u0dba}=\\frac{1-(-3)}{3-(-1)}=1\\;<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">RT\\text{\u00a0\u0d85\u0db1\u0dd4\u0d9a\u0dca\u200d\u0dbb\u0db8\u0dab\u0dba}=\\frac{(1-(-3))}{(3-(-1))}=1<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\therefore\\;QR\\;\\parallel\\;\\;RT<\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">\u0db8\u0dd9\u0dc4\u0dd2 R \u0db4\u0ddc\u0daf\u0dd4 \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba\u0dba\u0d9a\u0dd2.<\/p>\n\n\n\n<p class=\"has-text-align-center\">\u2234 Q, R \u0dc4\u0dcf T \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba \u0d92\u0d9a \u0dbb\u0dda\u0d9b\u0dd3\u0dba \u0dc0\u0dda.<\/p>\n\n\n\n<div class=\"wp-block-cover has-background-dim\" style=\"background-color:#accee3\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#32424c;font-size:20px\"><strong>ABCD \u0dc3\u0db8\u0da0\u0dad\u0dd4\u0dbb\u0dc3\u0dca\u200d\u0dbb\u0dba \u0dad\u0dd4\u0dbd P \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba \u0dc0\u0dd6&nbsp; \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0d9a\u0dca \u0daf, \u0d91\u0dba\u0da7 \u0dc3\u0dca\u0db4\u0dbb\u0dca\u0dc1\u0dc0 \u0d87\u0db3\u0dd2 CE \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0d9a\u0dca \u0daf, A \u0d9a\u0dda\u0db1\u0dca\u0daf\u0dca\u200d\u0dbb\u0dba \u0dc0\u0dd6 &nbsp;BD \u0dc0\u0dd8\u0dad\u0dca\u0dad \u0d9a\u0ddc\u0da7\u0dc3\u0d9a\u0dca \u0daf \u0d85\u0db1\u0dca\u0dad\u0dbb\u0dca\u0d9c\u0dad \u0dc0\u0dda.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/03.02.06-image1.jpg.jpeg\" alt=\"\" class=\"wp-image-31163\" width=\"300\" height=\"300\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/03.02.06-image1.jpg-150x150.jpeg 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/03.02.06-image1.jpg-400x400.jpeg 400w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-color\" style=\"color:#32424c;font-size:20px\">  <strong> \u0d85\u0db3\u0dd4\u0dbb\u0dd4 \u0d9a\u0dc5 \u0d9a\u0ddd\u0dab\u0dba\u0dda \u0d85\u0d9c\u0dba \u0d9a\u0dd3\u0dba\u0daf?<\/strong><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/learnsteer.sasnaka.org\/science\/?p=30966\" style=\"border-radius:10px;background:linear-gradient(135deg,rgb(6,147,227) 0%,rgb(50,66,76) 0%)\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dd2\u0dc5\u0dd2\u0dad\u0dd4\u0dbb \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1<\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" href=\"https:\/\/drive.google.com\/uc?id=1V7RWunm1xD6vLeD8lCn1S2Xo2hhlaiEz&amp;export=download\" style=\"border-radius:15px\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/drive\/folders\/1otlWj3tqtLlKXwTQeg1Fpf3aZMecmgUd?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>\n\n\n\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\n\n\n\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0dc3\u0dbb\u0dbd \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0d9a \u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dc0\u0dca\u200d\u0dba\u0dd4\u0dad\u0dca\u0db4\u0db1\u0dca\u0db1 \u0d9a\u0dd2\u0dbb\u0dd3\u0db8 \u0db8\u0dd9\u0dc4\u0dd2\u0daf\u0dd3 \u0dc3\u0dd2\u0daf\u0dd4 \u0d9a\u0dbb\u0dba\u0dd2.<\/p>\n","protected":false},"author":75,"featured_media":16874,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3665,3634,42,3630,3629],"tags":[3808,3761,4163,3886,3599,4242,4247,4248,4240,4241,3879,4238,4237,4152,3880,3579,3792,3795,4052,3873,3798,4250,4239,3802,4251,3885,4162,4249,4244,3876,3878,3722,3800],"class_list":{"0":"post-12827","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-03-02-straight-line","8":"category-03-coordinate-geometry","9":"category-advanced-level-science","10":"category-pure-mathematics","11":"category-combined-mathematics","12":"tag-anukramanaya","13":"tag-combined-maths","14":"tag-coordinate-geometry-2","15":"tag-coordinates","16":"tag-equation","17":"tag-geometric","18":"tag-intersection","19":"tag-intresect","20":"tag-lambaya","21":"tag-line","22":"tag-parameter","23":"tag-parametric-equations","24":"tag-paramithiya","25":"tag-peo-maths","26":"tag-perpendicular","27":"tag-point","28":"tag-pure","29":"tag-pure-maths","30":"tag-sanyuktha-ganithaya","31":"tag-sarala-rekhawa","32":"tag-straight-line","33":"tag-substitution","34":"tag-vertical","35":"tag-3802","36":"tag-4251","37":"tag-3885","38":"tag---2","39":"tag-4249","40":"tag-4244","41":"tag-3876","42":"tag-3878","43":"tag-3722","44":"tag-3800"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12827"}],"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\/75"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=12827"}],"version-history":[{"count":45,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12827\/revisions"}],"predecessor-version":[{"id":32640,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/12827\/revisions\/32640"}],"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=12827"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=12827"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=12827"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}