{"id":4309,"date":"2019-09-27T02:10:13","date_gmt":"2019-09-27T02:10:13","guid":{"rendered":"https:\/\/www.helpingstudents.com.ng\/?p=4309"},"modified":"2020-03-03T05:31:01","modified_gmt":"2020-03-03T05:31:01","slug":"questions-on-coordinate-geometry","status":"publish","type":"post","link":"https:\/\/hstutorial.com\/fr\/questions-on-coordinate-geometry\/","title":{"rendered":"Questions sur la g\u00e9om\u00e9trie des coordonn\u00e9es"},"content":{"rendered":"<h2>What is Co-ordinate Geometry?<\/h2>\n<p>Co-ordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates. <strong>(<em>kindly use the comment box below to ask a question<\/em>).<\/strong><\/p>\n<blockquote><p>Subscribe to our YouTube channel so as not to miss a tutorial video.<\/p>\n<p><script src=\"https:\/\/apis.google.com\/js\/platform.js\"><\/script><\/p>\n<div class=\"g-ytsubscribe\" data-channelid=\"UCsHPKTWR8pDErG0onuksKSA\" data-layout=\"full\" data-count=\"default\"><span style=\"font-size: 16px;\">\u00a0<\/span> <span style=\"background-color: #ffffff; font-size: 16px;\">\u00a0<\/span><\/div>\n<\/blockquote>\n<h3><span style=\"letter-spacing: -0.02em;\">Questions on <\/span>G\u00e9om\u00e9trie des coordonn\u00e9es<\/h3>\n<ol>\n<li>Find the gradient of a line that passes through the following points.<\/li>\n<\/ol>\n<ul>\n<li>A(3,-2) ;\u00a0 B(-6,-7)<\/li>\n<li>A(1,4)\u00a0 \u00a0;\u00a0 B(5,12)<\/li>\n<li>A(-5,-12)\u00a0 ;\u00a0 B(2,3)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"2\">\n<li>Find the distance between the following pairs of points.<\/li>\n<\/ol>\n<ul>\n<li>(2,3)\u00a0 \u00a0 and\u00a0 (-2,-2)<\/li>\n<li>(-2,-3) and\u00a0 (-6,-8)<\/li>\n<li>(1,5)\u00a0 \u00a0 and\u00a0\u00a0 (7,3)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"3\">\n<li>Find the co-ordinates of the point which divides the following lines in the given ratio:<\/li>\n<\/ol>\n<ul>\n<li>(3,4)\u00a0\u00a0 ;\u00a0 (5,6)\u00a0 into ratio\u00a0 3:4<\/li>\n<li>(2,-7) ;\u00a0 (7,3)\u00a0 into ratio\u00a0 1:2<\/li>\n<li>(1,2)\u00a0\u00a0 ;\u00a0 (6,5)\u00a0 into ratio\u00a0 2:1<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"4\">\n<li>A point P(x,y) divides the line joining the points (1,-2) and (3,5) into the ratio 1:4. What are the co-ordinates of P?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"5\">\n<li>Find the co-ordinates of the mid-point of the following:<\/li>\n<\/ol>\n<ul>\n<li>(3,4) \u00a0\u00a0; \u00a0(5,6)<\/li>\n<li>(2,-7) ; \u00a0(7,3)<\/li>\n<li>(1,2) \u00a0\u00a0; \u00a0(6,5)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"6\">\n<li>A, B, C are three points with coordinates (1,0) ; (2,-4) and (-5,-2) respectively. Determine:<\/li>\n<\/ol>\n<ul>\n<li>The equation of the line through A and perpendicular to BC<\/li>\n<li>The equation of the line through B and perpendicular to AC<\/li>\n<li>The co-ordinate of the point of intersection of these lines.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"7\">\n<li>A car hire company estimates that the cost of acquiring and operating a car hire can be estimated by the linear equation:<\/li>\n<\/ol>\n<p>Y = 0.71x + 1800<\/p>\n<p>Where y represents the total cost (in Naira), and x represents the number of kilometers driven.<\/p>\n<ul>\n<li>Identify the gradient and y-intercepts.<\/li>\n<li>Interpret the meaning of the gradient and the y-intercept.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"8\">\n<li>The bottling company produces 200 crates of Viju for N6,000 and 500 crates for N9,000. If the cost function is linear. Find:<\/li>\n<\/ol>\n<ul>\n<li>The cost equation.<\/li>\n<li>The overhead cost.<\/li>\n<li>Sketch the graph.<\/li>\n<li>Estimate the cost of producing 1000 crates.<\/li>\n<li>The average cost of producing 1,000 crates.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"9\">\n<li>A company produces 2,000 units of a good for N6,000 and 4,000 units for N10,000. Given that the cost function is linear.<\/li>\n<\/ol>\n<ul>\n<li>Find the cost equation.<\/li>\n<li>Sketch the graph.<\/li>\n<li>Interpret the slope and the intercept.<\/li>\n<li>Estimate the cost of producing 7,000 units of the good.<\/li>\n<li>Find the average cost of producing 7,000 units of goods.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ol start=\"10\">\n<li>The additional cost of producing each unit of a certain good is N0.95. If 300 units of the goods are produced at a cost of N8,560. Find:<\/li>\n<\/ol>\n<ul>\n<li>The cost equation.<\/li>\n<li>The overhead cost.<\/li>\n<li>Sketch the graph.<\/li>\n<li>The average cost.<\/li>\n<\/ul>\n<h2>Other Mathematics Questions<\/h2>\n<ol>\n<li><a href=\"https:\/\/hstutorial.com\/fr\/questions-on-linear-programming\/\">Linear Programming<\/a><\/li>\n<li><a href=\"https:\/\/hstutorial.com\/fr\/questions-on-coordinate-geometry\/\">Permutation and Combination<\/a><\/li>\n<li><a href=\"https:\/\/hstutorial.com\/fr\/questions-on-set-theory\/\">Set Theory<\/a><\/li>\n<li><a href=\"https:\/\/hstutorial.com\/fr\/questions-on-probability-business-maths\/\">Empirical Probability<\/a><\/li>\n<li><a href=\"https:\/\/hstutorial.com\/fr\/questions-on-integration-and-vector-algebra\/\">Integration &amp; Vector Algebra<\/a><\/li>\n<li><a href=\"https:\/\/hstutorial.com\/fr\/22-questions-on-differentiation\/\">Differentiation<\/a><\/li>\n<\/ol>\n<h3>HS Tutorial on YouTube<\/h3>\n<p><span class=\"waslinkname\">Click here to see some of our Mathematics videos on YouTube.<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>Qu'est-ce que la g\u00e9om\u00e9trie des coordonn\u00e9es ? La g\u00e9om\u00e9trie des coordonn\u00e9es est une branche de la g\u00e9om\u00e9trie dans laquelle la position des points sur le plan est d\u00e9finie \u00e0 l'aide d'une paire ordonn\u00e9e de ...<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/hstutorial.com\/fr\/questions-on-coordinate-geometry\/\"> <span class=\"screen-reader-text\">Questions sur la g\u00e9om\u00e9trie des coordonn\u00e9es<\/span> Lire la suite \"<\/a><\/p>","protected":false},"author":2,"featured_media":4609,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"footnotes":""},"categories":[55],"tags":[229,170],"class_list":["post-4309","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-exam-questions","tag-business-maths","tag-past-questions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.5 (Yoast SEO v21.5) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Questions on Coordinate Geometry - HS Tutorial<\/title>\n<meta name=\"description\" content=\"Co-ordinate Geometry questions listed below are to help you practice several questions on this topic. 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