{"id":54763,"date":"2025-01-05T19:35:15","date_gmt":"2025-01-05T14:05:15","guid":{"rendered":"https:\/\/yanamtakshashila.com\/?p=54763"},"modified":"2026-02-26T16:26:40","modified_gmt":"2026-02-26T10:56:40","slug":"ex-2-draw-a-parabola-which-fits-the-image-of-dish-antenna-and-determine-the-equation-vertex-focus-directrix-and-latus-rectum-using-geogebra-classic-5","status":"publish","type":"post","link":"https:\/\/yanamtakshashila.com\/?p=54763","title":{"rendered":"EX-2 &#8211; Draw a parabola which fits the image of dish antenna and determine the equation, vertex, focus, directrix and latus rectum using geogebra classic 5"},"content":{"rendered":"\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-fa53a7e713e612c4dd8aa007036729cc\">Ex &#8211; 2<\/h5>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\text{Do the following activities for the given image of a parabolic shaped satellite dish antenna..}\\ \\hspace{7cm}\\]<script src=\"https:\/\/yanamtakshashila.com\/wp-includes\/js\/dist\/hooks.min.js?ver=dd5603f07f9220ed27f1\" id=\"wp-hooks-js\"><\/script>\n<script src=\"https:\/\/yanamtakshashila.com\/wp-includes\/js\/dist\/i18n.min.js?ver=c26c3dc7bed366793375\" id=\"wp-i18n-js\"><\/script>\n<script id=\"wp-i18n-js-after\">\nwp.i18n.setLocaleData( { 'text direction\\u0004ltr': [ 'ltr' ] } );\n\/\/# sourceURL=wp-i18n-js-after\n<\/script>\n<script  async src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-MML-AM_CHTML\" id=\"mathjax-js\"><\/script>\n<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[i).\\ \\text{Draw a parabola which fits the given image of the dish antenna.}\\ \\hspace{10cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[ii).\\ \\text{Write the equation of the parabola..}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[iii).\\ \\text{Find the vertex, focus, directrix and latus-rectum and mark them on the graph.}\\ \\hspace{10cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color {blue} {Soln:}\\ \\hspace{20cm}\\]<\/div>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" fetchpriority=\"high\" decoding=\"async\" width=\"630\" height=\"840\" data-attachment-id=\"54728\" data-permalink=\"https:\/\/yanamtakshashila.com\/?attachment_id=54728\" data-orig-file=\"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/11\/IMG_0708-rotated.jpg?fit=3024%2C4032&amp;ssl=1\" data-orig-size=\"3024,4032\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;1.6&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;iPhone 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class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 1:}\\ dish\\ antenna\\ image: \\text{in Google search engine &#8211; type dish antenna}\\ \\hspace{8cm}\\\\  \\hspace{1cm}\\ \\text{in images \u2192 dish antenna png (transparent) \u2192 Save as \u2192 desktop}\\]<\/div>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"148\" height=\"148\" data-attachment-id=\"54735\" data-permalink=\"https:\/\/yanamtakshashila.com\/?attachment_id=54735\" data-orig-file=\"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/11\/images-1.jpeg?fit=148%2C148&amp;ssl=1\" data-orig-size=\"148,148\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"images\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/11\/images-1.jpeg?fit=148%2C148&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/11\/images-1.jpeg?resize=148%2C148&#038;ssl=1\" alt=\"\" class=\"wp-image-54735\"\/><\/figure>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 2:}\\ \\text{Open Geogebra classic 5 (by double clicking on the icon)}\\ \\hspace{8cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 3:}\\ \\text{Make graph centre}\\ \\hspace{17cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 4:}\\ \\text{To bring Input bar up: right click \u2192 Click graphics \u2192 Preferences \u2192 Layout tab}\\ \\hspace{3cm}\\ \\\\ \\hspace{1cm}\\ \\text{\u2192 Input Bar \u2192 Click show up box}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 5:}\\ \\text{To insert dish antenna image: Tool bar \u2192 Slider tool \u2192 click image tool \u2192}\\ \\hspace{3cm}\\ \\\\ \\hspace{1cm}\\ \\text{insert dish antenna image}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 6:}\\ \\text{To fix dish antenna image: Move \u2192 dish antenna image \u2192 upright receiver straight \u2192}\\ \\hspace{2cm}\\ \\\\ \\hspace{1cm}\\ \\text{Right click on the image \u2192 Object Properties \u2192 Back ground image}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 7:}\\ \\text{Create the sliders for a, h &amp;  K: Tool bar \u2192 Slider tool \u2192 Click slider \u2192}\\hspace{5cm}\\\\ \\hspace{1cm}\\ \\text{click the mouse cursor in graph \u2192rectangular box open \u2192 under name: type &#8216;a&#8217; \u2192 click ok.}\\\\ \\text{ with minimum &#8211; 5 and maximum = 5}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 8:}\\ \\text{To draw the parabola}\\ (x-h)^2\\ = 4a(y-k)\\ : \\text{Input bar \u2192 type \u2192 parabola:}\\  \\hspace{5cm}\\\\ \\hspace{1cm}\\ \\text{(x-h)^2 = 4a(y-k)}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 9:}\\ \\text{To adjust the parabola  fits the image: Change the values of the sliders}\\ \\hspace{5cm}\\\\ \\text{a, h and k.}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 10:}\\ \\text{To plot the vertex: Input bar \u2192 type V:vertex(parabola) \u2192 right click on V \u2192}\\ \\hspace{3cm}\\\\ \\text{object properties \u2192 Put tick in the check box of Name and value \u2192 give colour to V}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 11:}\\ \\text{To plot the focus: Input bar \u2192 type F:focus(parabola) \u2192 right click on F \u2192}\\ \\hspace{3cm}\\\\ \\text{object properties \u2192 Put tick in the check box of Name and value \u2192 give colour to F}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 12:}\\ \\text{To join the points vertex V and focus F:  Input bar \u2192 VF:segment(point; point) \u2192}\\hspace{5cm}\\\\ \\hspace{1cm}\\ \\text{VF:segment(V, F)\u2192 right click on VF \u2192object properties \u2192 Put tick }\\\\ \\text{in the check box of Name and value \u2192 give colour to VF}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 13:}\\ \\text{To find the Axis: Input bar \u2192 Axis:line(point; point) \u2192\nAxis:line(V, F)\u2192}\\ \\hspace{5cm}\\\\ \\text{right click on Axis \u2192object properties \u2192 give colour to Axis}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 14:}\\ \\text{To find the Directrix: Input bar \u2192 Directrix:Directrix(conic;) \u2192\n}\\ \\hspace{5cm}\\\\ \\text{Directrix:Directrix(parabola)\u2192 right click on Directrix \u2192object properties \u2192 give colour to Directrix}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 15}\\ \\text{To find the Latus Rectum: Tool bar \u2192 Select Perpendicular tool \u2192 Click F(focus) and Axis)\n}\\\\ \\text{\u2192 right click on latus rectum \u2192object properties \u2192 give colour to latus rectum}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 16:}\\ \\text{To find the length of Latus Rectum: Tool bar \u2192 Select intersection tool \u2192 click latus rectum \n}\\ \\hspace{5cm}\\\\ \\text{and parabola\u2192 right click on point C \u2192Put tick in the check box of Name and value}\\ \\hspace{8cm}\\\\  \\hspace{1cm}\\ \\text{\u2192 give colour to C \u2192 right click on point D \u2192Put tick in the check box}\\  \\hspace{8cm}\\\\ \\hspace{1cm}\\ \\text{of Name and value \u2192give colour to D \u2192 segment(point : point) }\\ \\hspace{8cm}\\\\ \\hspace{1cm}\\ \\text{\u2192LR: segment(C, D)\u2192 right click on LR \u2192object properties \u2192Put tick}\\ \\hspace{8cm}\\\\ \\hspace{1cm}\\ \\text{in the check box of Name and value\u2192 give colour to LR \u2192 hide latus rectum}\\]<\/div>\n\n\n\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-9453835310745500\"\n     crossorigin=\"anonymous\"><\/script>\n<!-- 350 x 250 ad -->\n<ins class=\"adsbygoogle\"\n     style=\"display:block\"\n     data-ad-client=\"ca-pub-9453835310745500\"\n     data-ad-slot=\"3583972194\"\n     data-ad-format=\"auto\"\n     data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-883bedab9864fd79dff46cd9aa765019\">Output:<\/h5>\n\n\n\n<p class=\"has-text-align-center\">Output table for parabolic shaped satellite dish antenna<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Equation of the Parabola<\/td><td><mathml>\\[x^2\\ -\\ 4.2\\ x\\ -\\ 4.8\\ y\\ =\\ -\\ 15.45\\]<\/mathml><\/td><\/tr><tr><td>Vertex (V)<\/td><td>(2.1, 2.3)<\/td><\/tr><tr><td>Focus (F)<\/td><td>(2.1, 3.5)<\/td><\/tr><tr><td>Equation of the Directrix<\/td><td>y = 1.1<\/td><\/tr><tr><td>Length of latus rectum<\/td><td>4.8<\/td><\/tr><tr><td>Distance of the receiver from vertex (V)<\/td><td>1.2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n<p><iframe width=\"747\" height=\"467\" src=\"https:\/\/www.youtube.com\/embed\/PTx_WmepffU\" title=\"Drawing of Parabola which fits dish antenna and determine its distance from its Vertex to Receiver\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"\"><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ex &#8211; 2 Procedure Output: Output table for parabolic shaped satellite dish antenna Equation of the Parabola \\[x^2\\ -\\ 4.2\\ x\\ -\\ 4.8\\ y\\ =\\ -\\ 15.45\\] Vertex (V) (2.1, 2.3) Focus (F) (2.1, 3.5) Equation of the Directrix y = 1.1 Length of latus rectum 4.8 Distance of the receiver from vertex (V) 1.2<\/p>\n","protected":false},"author":187055548,"featured_media":55332,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>EX-2 - Draw a parabola which fits the image of dish antenna and determine the equation, vertex, focus, directrix and latus rectum using geogebra classic 5 - YANAMTAKSHASHILA<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/yanamtakshashila.com\/?p=54763\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"EX-2 - Draw a parabola which fits the image of dish antenna and determine the equation, vertex, focus, directrix and latus rectum using geogebra classic 5 - YANAMTAKSHASHILA\" \/>\n<meta property=\"og:description\" content=\"Ex &#8211; 2 Procedure Output: Output table for parabolic shaped satellite dish antenna Equation of the Parabola [x^2 - 4.2 x - 4.8 y = - 15.45] Vertex (V) (2.1, 2.3) Focus (F) (2.1, 3.5) 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