{"id":6763,"date":"2021-10-21T13:59:30","date_gmt":"2021-10-21T08:29:30","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6763"},"modified":"2021-10-25T09:51:55","modified_gmt":"2021-10-25T04:21:55","slug":"the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/","title":{"rendered":"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Since, Slope of line passing through two points is m = \\(y_2 &#8211; y_1\\over x_2 &#8211; x_1\\).<\/p>\n<p>so, slope of chord passing through two points is \\(4-(-3)\\over 3-2\\) = 7<\/p>\n<p>Now, Tangent line is parallel to chord. Therefore slope of tangent line is equal to slope of chord,<\/p>\n<p>Hence slope of tangent line is also 7.<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\">Similar Questions<\/h3>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-the-straight-line-3x-4y-5-kx-y-3-0-is-parallel-to-y-axis-then-the-value-of-k-is\/\" aria-label=\"\u201cIf the straight line 3x + 4y + 5 \u2013 k(x + y + 3) = 0 is parallel to y-axis, then the value of k is\u201d (Edit)\">If the straight line 3x + 4y + 5 \u2013 k(x + y + 3) = 0 is parallel to y-axis, then the value of k is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-the-line-2x-y-k-passes-through-the-point-which-divides-the-line-segment-joining-the-points-11-and-24-in-the-ratio-32-then-k-is-equal-to\/\" aria-label=\"\u201cIf the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3:2, then k is equal to\u201d (Edit)\">If the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3:2, then k is equal to<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-x-4y-5-0-and-4x-ky-7-0-are-two-perpendicular-lines-then-k-is\/\" aria-label=\"\u201cIf x + 4y \u2013 5 = 0 and 4x + ky + 7 = 0 are two perpendicular lines then k is\u201d (Edit)\">If x + 4y \u2013 5 = 0 and 4x + ky + 7 = 0 are two perpendicular lines then k is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/find-the-equation-of-lines-which-passes-through-the-point-34-and-the-sum-of-intercepts-on-the-axes-is-14\/\" aria-label=\"\u201cFind the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14.\u201d (Edit)\">Find the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14.<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-p-is-the-length-of-the-perpendicular-from-the-origin-to-the-line-xover-a-yover-b-1-then-prove-that-1over-p2-1over-a2-1over-b2\/\" aria-label=\"\u201cIf p is the length of the perpendicular from the origin to the line \\(x\\over a\\) + \\(y\\over b\\) = 1, then prove that \\(1\\over p^2\\) = \\(1\\over a^2\\) + \\(1\\over b^2\\)\u201d (Edit)\">If p is the length of the perpendicular from the origin to the line \\(x\\over a\\) + \\(y\\over b\\) = 1, then prove that \\(1\\over p^2\\) = \\(1\\over a^2\\) + \\(1\\over b^2\\)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Since, Slope of line passing through two points is m = \\(y_2 &#8211; y_1\\over x_2 &#8211; x_1\\). so, slope of chord passing through two points is \\(4-(-3)\\over 3-2\\) = 7 Now, Tangent line is parallel to chord. Therefore slope of tangent line is equal to slope of chord, Hence slope of tangent line &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\"> <span class=\"screen-reader-text\">The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","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":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,48],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is<\/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:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is\" \/>\n<meta property=\"og:description\" content=\"Solution : Since, Slope of line passing through two points is m = (y_2 &#8211; y_1over x_2 &#8211; x_1). so, slope of chord passing through two points is (4-(-3)over 3-2) = 7 Now, Tangent line is parallel to chord. Therefore slope of tangent line is equal to slope of chord, Hence slope of tangent line &hellip; The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-10-21T08:29:30+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-25T04:21:55+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is\",\"datePublished\":\"2021-10-21T08:29:30+00:00\",\"dateModified\":\"2021-10-25T04:21:55+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\"},\"wordCount\":179,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"articleSection\":[\"Maths Questions\",\"Straight Line Questions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\",\"url\":\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\",\"name\":\"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2021-10-21T08:29:30+00:00\",\"dateModified\":\"2021-10-25T04:21:55+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathemerize.com\/#website\",\"url\":\"https:\/\/mathemerize.com\/\",\"name\":\"Mathemerize\",\"description\":\"Maths Tutorials - Study Math Online\",\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathemerize.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathemerize.com\/#organization\",\"name\":\"Mathemerize\",\"url\":\"https:\/\/mathemerize.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"width\":140,\"height\":96,\"caption\":\"Mathemerize\"},\"image\":{\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.instagram.com\/mathemerize\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\",\"name\":\"mathemerize\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"caption\":\"mathemerize\"},\"sameAs\":[\"https:\/\/mathemerize.com\"],\"url\":\"https:\/\/mathemerize.com\/author\/mathemerize\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/","og_locale":"en_US","og_type":"article","og_title":"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is","og_description":"Solution : Since, Slope of line passing through two points is m = (y_2 &#8211; y_1over x_2 &#8211; x_1). so, slope of chord passing through two points is (4-(-3)over 3-2) = 7 Now, Tangent line is parallel to chord. Therefore slope of tangent line is equal to slope of chord, Hence slope of tangent line &hellip; The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is Read More &raquo;","og_url":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/","og_site_name":"Mathemerize","article_published_time":"2021-10-21T08:29:30+00:00","article_modified_time":"2021-10-25T04:21:55+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is","datePublished":"2021-10-21T08:29:30+00:00","dateModified":"2021-10-25T04:21:55+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/"},"wordCount":179,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Maths Questions","Straight Line Questions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/","url":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/","name":"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2021-10-21T08:29:30+00:00","dateModified":"2021-10-25T04:21:55+00:00","breadcrumb":{"@id":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is"}]},{"@type":"WebSite","@id":"https:\/\/mathemerize.com\/#website","url":"https:\/\/mathemerize.com\/","name":"Mathemerize","description":"Maths Tutorials - Study Math Online","publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathemerize.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mathemerize.com\/#organization","name":"Mathemerize","url":"https:\/\/mathemerize.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/","url":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","contentUrl":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","width":140,"height":96,"caption":"Mathemerize"},"image":{"@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.instagram.com\/mathemerize\/"]},{"@type":"Person","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df","name":"mathemerize","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","caption":"mathemerize"},"sameAs":["https:\/\/mathemerize.com"],"url":"https:\/\/mathemerize.com\/author\/mathemerize\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6763"}],"collection":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/comments?post=6763"}],"version-history":[{"count":2,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6763\/revisions"}],"predecessor-version":[{"id":7514,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6763\/revisions\/7514"}],"wp:attachment":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/media?parent=6763"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/categories?post=6763"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/tags?post=6763"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}